Functions and Relations
description: Part of the NCSSM Online AP Calculus Collection: This video deals with transformations of functions including parent functions and the library of functions and relations. http://www.dlt.ncssm.edu Please attribute this work as being created by the North Carolina School of Science and Mathematics. This work is licensed under Creative Commons CC-BY http://creativecommons.org/licenses/by/3.0 Help us caption & translate this video! http://amara.org/v/GAfN/
source: http://youtu.be/YbQOvkgrGrU
publisher: NCSSMDistanceEd published via YouTube.com
date: 2012-01-10T14:29:14.000Z
rights: Creative Commons License

Pure Mathematics
subject: Mathematics
description: What is PURE MATHEMATICS? What does PURE MATHEMATICS mean? PURE MATHEMATICS meaning - PURE MATHEMATICS definition - PURE MATHEMATICS explanation. Source: Wikipedia.org article, adapted under https://creativecommons.org/licenses/by-sa/3.0/ license. Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This was a recognizable category of mathematical activity from the nineteenth century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on. Another insightful view put forth is that pure mathematics is not necessarily applied mathematics: it is possible to study abstract entities with respect to their intrinsic nature, and not be concerned with how they manifest in the real world. Even though the pure and applied viewpoints are distinct philosophical positions, in practice there is much overlap in the activity of pure and applied mathematicians. To develop accurate models for describing the real world, many applied mathematicians draw on tools and techniques that are often considered to be "pure" mathematics. On the other hand, many pure mathematicians draw on natural and social phenomena as inspiration for their abstract research. Input by Sofia Nelly
source: http://youtu.be/EUsaM8zTPxk
publisher: The Audiopedia published via YouTube.com
date: 2016-09-04T15:37:57.000Z
contributor: Sofia Nelly
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Exact Trig Values - Hand Trick
subject: Mathematics
description: There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90. In this video we will discover one method of remember what these values are - by counting fingers on our hand! In the first part we discovered a different method (constructing a table) which you may prefer. Choose whichever method works best for you. SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT. VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Find all of our Chemistry videos here: https://www.youtube.com/watch?v=cRnpKjHpFyg&list=PLW0gavSzhMlReKGMVfUt6YuNQsO0bqSMV Find all of our Biology videos here: https://www.youtube.com/watch?v=tjkHzEVcyrE&list=PLW0gavSzhMlQYSpKryVcEr3ERup5SxHl0 Find all of our Maths videos here: https://www.youtube.com/watch?v=hJq_cdz_L00&list=PLW0gavSzhMlTyWKCgW1616v3fIywogoZQ Twitter: https://twitter.com/fuseSchool Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org Follow us: http://www.youtube.com/fuseschool Friend us: http://www.facebook.com/fuseschool This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org Input by Sofia Nelly
source: http://youtu.be/PF2nmCVSUEs
publisher: FuseSchool - Global Education published via YouTube.com
date: 2017-03-12T10:00:01.000Z
contributor: Sofia Nelly
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Contemporary Calculus
subject: Calculus
subject: Mathematics
description: How to Succeed in Beginning Calculus Calculus is the mathematics of CHANGE and almost everything in our world is changing. Calculus is among the most important and useful developments of human thought, and, even though it is over 300 years old, it is still considered the beginning and cornerstone of modern mathematics. It is a wonderful and beautiful and useful set of ideas and techniques Calculus takes time. Do not get behind. Use the textbook intelligently. Working the problems. Work together. Study with a friend. Work in small groups
creator: Dale Hoffman
source: http://scidiv.bellevuecollege.edu/dh/Calculus_all/Calculus_all.html
publisher: Washington State Colleges
contributor: Taufiq A Gani
rights: Creative Common BY
type: Textbooks

Foundations in Statistical Reasoning
subject: Statistic
subject: Statistical Reasoning
description: This book starts by presenting an overview of the statistical thought process. By the end of chapter 2, students are already familiar with concepts such as hypotheses, level of significance, p-values, errors. Normally these topics are not introduced until after a discussion of probability and sampling distributions. My approach to probability and sampling distributions is also very different. Because students using this book know about hypotheses before we reach the probability section, inferential theory can be developed by applying the probability rules the testing of a hypothesis. To me, this leads to better and more interesting questions than are typically asked in these sections and gives meaning to these concepts. Other differences include homework problems that require the integration of topics from different chapters as well as one problem in each chapter based on issues discussed in other classes on our campus (e.g. psychology, criminal justice, economics, etc).
creator: Pete Kaslik
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Mathematical Analysis I
subject: Mathematical analysis--Foundations
description: The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes also contain many well-selected exercises of various levels. Although these topics are written in a more abstract way compared with those available in some textbooks, teachers can choose to simplify them depending on the background of the students. For instance, rather than introducing the topology of the real line to students, related topological concepts can be replaced by more familiar concepts such as open and closed intervals. Some other topics such as lower and upper semicontinuity, differentiation of convex functions, and generalized differentiation of non-differentiable convex functions can be used as optional mathematical projects. In this way, the lecture notes are suitable for teaching students of different backgrounds.
creator: Beatriz Lafferriere
creator: Gerardo Lafferriere
creator: Nguyen Mau Nam
publisher: Portland State University Library Portland,
rights: Creative Commons

A First Course in Linear Algebra
subject: Algebra
subject: Linear Algebra
subject: Mathematics
description: In this book, there are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at “Answers to Odd-Numbered Exercises” section at the end of this book. This book is very useful for college students who studied Calculus I, and other students who want to review some linear algebra concepts before studying a second course in linear algebra. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.
creator: Mohammed Kaabar
source: http://www.oercommons.org/courses/a-first-course-in-linear-algebra-study-guide-for-the-undergraduate-linear-algebra-course/view
publisher: CreateSpace, Charleston, SC
contributor: Taufiq A Gabi
rights: Creative Commons

A Friendly Introduction to Differential Equations
subject: Differential equations
subject: Mathematics
description: n this book, there are five chapters: The Laplace Transform, Systems of Homogeneous Linear Differential Equations (HLDE), Methods of First and Higher Orders Differential Equations, Extended Methods of First and Higher Orders Differential Equations, and Applications of Differential Equations. In addition, there are exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at "Answers to Odd-Numbered Exercises" section at the end of this book. This book is a very useful for college students who studied Calculus II, and other students who want to review some concepts of differential equations before studying courses such as partial differential equations, applied mathematics, and electric circuits II. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.
creator: Mohammed Kaabar

Calculus Early Transcendental: an Open Text
subject: Calculus
subject: Mathematics
description: Calculus: Early Transcendentals, originally by D. Guichard, has been redesigned by the Lyryx editorial team. Substantial portions of the content, examples, and diagrams have been redeveloped, with additional contributions provided by experienced and practicing instructors. This approachable text provides a comprehensive understanding of the necessary techniques and concepts of the typical Calculus course sequence, and is suitable for the standard Calculus I, II and III courses. To practice and develop an understanding of topics, this text offers a range of problems, from routine to challenging, with selected solutions. As this is an open text, instructors and students are encouraged to interact with the textbook through annotating, revising, and reusing to your advantage. Suggestions for contributions to this growing textbook are welcome.
creator: Mohammed Kaabar
source: https://lalg1.lyryx.com/textbooks/CALCULUS_2/marketing/Guichard-Calculus-EarlyTranscendentals-2017A.pdf
publisher: Lyryx Learning
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Arithmetic for College Students
subject: Arithmetic
subject: Mathematics
description: This book is a course on arithmetic designed for college students. It covers whole numbers, fractions, decimals, percents, ratios and proportions, measurement, and integers. Geometry and statistics are integrated throughout the text rather than covered in independent sections. The textbook does not include exercises. Instead, a collection of handouts/worksheets is available, as well as online homework. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: MITE
creator: David Lippman
source: http://www.opentextbookstore.com/details.php
publisher: Scottsdale Community College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Basic Arithmetic Student Workbook
subject: Basic Arithmetic
subject: Arithmetic
subject: Mathematics
description: This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Donna Gaudet
creator: Amy Volpe
creator: Jenifer Bohart
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbook

Pre-Algebra
subject: Algebra
subject: Mathematics
description: A pre-algebra text, written by Angela Milano from American River College. For each section the text includes a student activity, narrative text with examples, and exercises. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Angela Milano
source: http://www.opentextbookstore.com/details.php
publisher: American River College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Prealgebra
subject: Algebra
subject: Mathematics
description: A clear, methodical approach to topics in prealgebra, with good explanations of concepts. This book includes plenty of examples and then exercises. Equation solving is started earlier and used throughout. Geometric topics (e.g., area and perimeter) are presented throughout the text so students might actually remember them. The applications (word problems) are mostly realistic, and the applications are spread throughout the text, not isolated in a few sections. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: David Arnold
creator: Bruce Wagner
source: http://www.opentextbookstore.com/details.php
publisher: Department of Mathematics, College of the Redwoods
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Beginning and Intermediate Algebra
subject: Intermediate Algebra
subject: Algebra
subject: Mathematics
description: Beginning and Intermediate Algebra was designed to reduce textbook costs to students while not reducing the quality of materials. This text includes many detailed examples for each section along with several problems for students to practice and master concepts. Complete answers are included for students to check work and receive immediate feedback on their progress. Topics covered include: pre-algebra review, solving linear equations, graphing linear equations, inequalities, systems of linear equations, polynomials, factoring, rational expressions and equations, radicals, quadratics, and functions including exponential, logarithmic and trigonometric. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: Tyler Wallace
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introductory Algebra Student Workbook
subject: Algebra
subject: Mathematics
description: This workbook was created through the efforts of instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Jenifer Bohart
creator: William Meacham
creator: Amy Volpe
creator: James Sousa
creator: Judy Sutor
creator: Donna Gaudet
source: http://www.opentextbookstore.com/details.php
publisher: Scottsdale Community College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

OpenIntro Statistics
subject: Statistics
subject: Mathematics
description: The OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. The inaugural effort is OpenIntro Statistics. Probability is optional, inference is key, and we feature real data whenever possible. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remiThe OpenIntro project was founded in 2009 to improve the quality and availability of education by producing exceptional books and teaching tools that are free to use and easy to modify. The inaugural effort is OpenIntro Statistics. Probability is optional, inference is key, and we feature real data whenever possible. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.xed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: Diez, Barr
creator: Cetinkaya-Rundel
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Algebra
subject: Elementary Algebra
subject: Algebra
subject: Mathematics
description: This is the Elementary Algebra textbook used by the Department of Mathematics in their Elementary Algebra course at College of the Redwoods, Eureka, California. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: David Arnold
creator: Bruce Wagner
source: http://www.opentextbookstore.com/details.php
publisher: Department of Mathematics, College of the Redwoods
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Active Calculus 1.0
subject: Active Calculus
subject: Calculus
subject: Mathematics
description: Active Calculus is different from most existing calculus texts in at least the following ways: the text is free for download by students and instructors in .pdf format; in the electronic format, graphics are in full color and there are live html links to java applets; the text is open source, and interested instructors can gain access to the original source files upon request; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; the exercises are few in number and challenging in nature. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Matthew Boelkins
creator: David Austin
creator: Steven Schlicker
source: https://scholarworks.gvsu.edu/books/10/
publisher: Grand Valley State University Libraries
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus: An Investigation of Functions (Includes Trig) 1st Ed
subject: Precalculus
subject: Mathematics
description: The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: David Lippman
creator: Melonie Rasmussen
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus: An Investigation of Functions (Includes Trig) 2nd Ed
subject: Precalculus
subject: Mathematics
description: The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus. The second portion of the book introduces trigonometry. Trig is introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. As with the first part of the book, an emphasis is placed on motivating the concepts and on modeling and interpretation. This book attempts to find a balance between a modern approach to precalculus focusing on applications, problem solving, and concepts and a traditional approach, emphasizing the basic skills needed for calculus. The second edition adds sections on real and complex roots of polynomials, dot product, and a new chapter on conics. License: Creative Commons Attribution Sharealike. This license is considered to be some to be the most open license. It allows reuse, remixing, and distribution (including commercial), but requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license.
creator: David Lippman
creator: Melonie Rasmussen
source: http://www.opentextbookstore.com/details.php
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Active Calculus 2.0
subject: Active Calculus
subject: Calculus
subject: Mathematics
description: Active Calculus is different from most existing calculus texts in at least the following ways: the text is freely readable online in HTML format and is also available for in PDF; in the electronic format, graphics are in full color and there are live links to java applets; version 2.0 now contains WeBWorK exercises in each chapter, which are fully interactive in the HTML format and included in print in the PDF; the text is open source, and interested users can gain access to the original source files on GitHub; the style of the text requires students to be active learners — there are very few worked examples in the text, with there instead being 3-4 activities per section that engage students in connecting ideas, solving problems, and developing understanding of key calculus concepts; each section begins with motivating questions, a brief introduction, and a preview activity, all of which are designed to be read and completed prior to class; following the WeBWorK exercises in each section, there are several challenging problems that require students to connect key ideas and write to communicate their understanding. For more information, see the author's website and blog. License: Creative Commons Attribution Sharealike Noncommercial. This license is very open. It allows reuse, remixing, and distribution, but prohibits commercial use and requires any remixes use the same license as the original. This limits where the content can be remixed into, but on the other hand ensures that no-one can remix the content then put the remix under a more restrictive license. The non-commercial clause can make getting printed copies of remixes challenging depending upon how strictly the authors interpret the clause.
creator: Matthew Boelkins
creator: David Austin
creator: Steven Schlicker
source: https://scholarworks.gvsu.edu/books/15/
publisher: Grand Valley State University Libraries
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Intermediate Algebra
subject: Algebra
subject: Aljabar
subject: Mathematical algebra
description: mathematic foccus on algebra
creator: LYNN MARECEK
creator: SANTA ANA COLLEGE
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/IntermediateAlgebra-LR.pdf
contributor: Nurlaila
rights: creative common
type: Textbooks

Mathematical Analysis Volume I
subject: Analysis
subject: Real Numbers
subject: Sets
subject: Vectors
subject: Sequences
subject: Mathematics
creator: Elias Zakon
source: https://florida.theorangegrove.org/og/file/5fa982a6-2c68-8570-1147-801c0d137365/1/Real-Analysis-I-Zakon-1-30-11-OTC.pdf
publisher: The Saylor Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introductory Statistics
subject: Statistics
subject: Math
description: ntroductory Statistics is designed for the one-semester, introduction to statistics course and is geared toward students majoring in fields other than math or engineering. This text assumes students have been exposed to intermediate algebra, and it focuses on the applications of statistical knowledge rather than the theory behind it. The foundation of this textbook is Collaborative Statistics, by Barbara Illowsky and Susan Dean. Additional topics, examples, and ample opportunities for practice have been added to each chapter. The development choices for this textbook were made with the guidance of many faculty members who are deeply involved in teaching this course. These choices led to innovations in art, terminology, and practical applications, all with a goal of increasing relevance and accessibility for students. We strove to make the discipline meaningful, so that students can draw from it a working knowledge that will enrich their future studies and help them make sense of the world around them.
creator: OpenStax College
source: https://www.google.com/url
publisher: Rice University
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

For All X; The Lorain County Remix
subject: Logic
description: This book was created by combining two previous books on logic and critical thinking, both made available under a Creative Commons license, and then adding some material so that the coverage matched that of commonly used logic textbooks.
creator: P.D. Magnus
creator: Cathal Woods
creator: J. Robert Loftis
source: https://forallxremix.files.wordpress.com/2015/06/loftis-magnus-and-woods-2015-for-all-x.pdf
publisher: University at Albany
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

From Algorithms to Z-Scores: Probabilistic and Statistical Modeling in Computer Science
subject: Algorithms
subject: Probabilistic and Statistical
subject: Computer Science
creator: Norm Matloff
source: https://florida.theorangegrove.org/og/file/2e13f939-b18f-38f7-3719-2d4257f2690c/1/ProbStatBook.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Based Physics II
subject: Calculus
subject: Physics
subject: Mathematics
creator: Jeffrey W. Schnick
source: https://florida.theorangegrove.org/og/file/e153a870-4e35-41f0-868d-11727676a502/1/cbPhysicsIIb24.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Diferrential Equantions
subject: Elementary Diferrential
subject: Mathematics
description: Elementary Differential Equations by William F. Trench Andrew G. Cowles Distinguished Professor Emeritus, Department of Mathematics, Trinity University, San Antonio, Texas, USA,Previously published by Brooks/Cole Thomson Learning, 2000. This book has been judged to meet the evaluation criteria set by the Editorial Board of the American Institute of Mathematics in connection with the Institute’s Open Textbook Initiative.
creator: William F. Trench
source: https://florida.theorangegrove.org/og/file/1449b08c-b0be-4984-8e3d-6eafd0f649fe/1/TRENCH_FREE_DIFFEQ_I.pdf
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Basic Analysis: Introduction to Real Analysis
subject: Real Analysis
subject: Mathematics
description: A first course in mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces.
creator: Jiří Lebl
source: http://www.jirka.org/ra/realanal.pdf
publisher: Pearson Education
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Numerical Methods
subject: Numerical Methods
subject: Mathematics
description: What follows are my lecture notes for Math 3311: Introduction to Numerical Methods, taught at the Hong Kong University of Science and Technology. Math 3311, with two lecture hours per week, is primarily for non-mathematics majors and is required by several engineering departments. All web surfers are welcome to download these notes at http://www.math.ust.hk/~machas/numerical-methods.pdf and to use the notes freely for teaching and learning. I welcome any comments, suggestions or corrections sent by email to jeffrey.chasnov@ust.hk.
creator: Jeffrey R. Chasno
source: https://www.math.ust.hk/~machas/numerical-methods.pdf
publisher: The Hong Kong University of Science and Technology
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Numerical Methods and Matlab Programming for Engineers
subject: Introduction to Numerical Methods
subject: Matlab Programming for Engineers
subject: Mathematics
description: These notes were developed by the firsht author in the process of teaching a course on applied numerical methods for Civil Engineering majors during 2002-2004 and was modified to include Mechanical Engineering in 2005. The materials have been periodically updated since then and underwent a major revision by the second author in 2006-2007. The main goals of these lectures are to introduce concepts of numerical methods and introduce Matlab in an Engineering framework. By this we do not mean that every problem is a \real life" engineering application, but more that the engineering way of thinking is emphasized throughout the discussion.
creator: Todd Young
creator: Martin J. Mohlenkamp
source: http://www.math.ohiou.edu/courses/math3600/book.pdf
publisher: Ohio University
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Statistical Mechanics
subject: Statistical Mechanics
subject: Statistic
subject: Statistics
subject: Mathematics
description: This is a book about statistical mechanics at the advanced undergraduate level. It assumes a background in classical mechanics through the concept of phase space, in quantum mechanics through the Pauli exclusion principle, and in mathematics through multivariate calculus. (Section 9.2 also assumes that you can can diagonalize a 2 x 2 matrix.)
creator: Daniel F. Styer
source: http://www2.oberlin.edu/physics/dstyer/StatMech/book.pdf
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Calculus - Derivative of an Inverse Function
description: Calculus lecture explaining the derivative of an inverse function. Gives a graphical explanation of how the derivative of an inverse function is related to the reciprocal of the derivative of the original function. Uses the example y = x^2 + 1 to illustrate the process and check the result algebraically.
source: http://youtu.be/OJ7Li1b570o
publisher: Bill Baker published via YouTube.com
date: 2014-04-12T16:22:24.000Z
rights: Creative Commons License

Calculus using Matlab - Laplace Transform
description: Follow us on: Facebook: https://www.facebook.com/ElectroGramOfficial Google+ : https://plus.google.com/101150556774956497020 Twitter : https://twitter.com/shahmilan7
source: http://youtu.be/0is3_fvaMU0
publisher: Electrogram published via YouTube.com
date: 2016-09-11T13:30:00.000Z
rights: Creative Commons License This video represents licensed content on YouTube, meaning that the content has been claimed by a YouTube content partner.

Probability and Statistics
description: We discuss probability and do some basic examples to refresh our memory on practice problems involving probability. Next video we focus on expectation values/ mean and the second moment of distribution.
source: http://youtu.be/Ky2DfnDbV-k
publisher: SciencewithGurni ! published via YouTube.com
date: 2017-09-01T03:04:12.000Z
rights: Creative Commons License

Analysis of Variance (ANOVA)
description: A description of the concepts behind Analysis of Variance. Also, see this site: http://www.psych.utah.edu/stat/introstats/anovaflash.html for a "hands-on" experience.
source: http://youtu.be/ITf4vHhyGpc
publisher: J David Eisenberg published via YouTube.com
date: 2011-07-29T17:48:42.000Z
rights: Creative Commons License

Introduction to Probability
subject: Introduction to Probability
subject: Probability
subject: Mathematical Probability
subject: Mathematics
subject: Math
description: Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continued to inﬂuence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a wellestablished branch of mathematics that ﬁnds applications in every area of scholarly activity from music to physics, and in daily experience from weather prediction to predicting the risks of new medical treatments.
creator: Charles M. Grinstead
creator: J. Laurie Snell
source: http://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf
publisher: Swarthmore College
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Fundamental Methods of Logic
subject: Fundamental Methods of Logic
subject: Logic
subject: Fundamental Methods
subject: Math
description: There’s an ancient view, still widely held, that what makes human beings special—what distinguishes us from the “beasts of the field”—is that we are rational. What does rationality consist in? That’s a vexed question, but one possible response goes roughly like this: we manifest our rationality by engaging in activities that involve reasoning—making claims and backing them up with reasons, acting in accord with reasons and beliefs, drawing inferences from available evidence, and so on. This reasoning activity can be done well and it can be done badly—it can be done correctly or incorrectly. Logic is the discipline that aims to distinguish good reasoning from bad. Since reasoning is central to all fields of study—indeed, since it’s arguably central to being human—the tools developed in logic are universally applicable. Anyone can benefit from studying logic by becoming a more self-aware, skillful reasoner. This covers a variety of topics at an introductory level. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and diagramming arguments. Chapter Two discusses informal logical fallacies. Chapters Three and Four concern deductive logic, introducing the basics of Aristotelian and Sentential Logic, respectively. Chapters Five and Six concern inductive logic. Chapter Five deals with analogical and causal reasoning, including a discussion of Mill’s Methods. Chapter Six covers basic probability calculations, Bayesian inference, fundamental statistical concepts and techniques, and common statistical fallacies.
creator: Matthew Knachel
source: https://dc.uwm.edu/cgi/viewcontent.cgi
publisher: UWM Libraries
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Introduction to Logic and Critical Thinking Version 1.4
subject: Introduction to Logic and Critical Thinking
subject: Introduction to Logic
subject: Logic
subject: Math
description: This is an introductory textbook in logic and critical thinking. The goal of the textbook is to provide the reader with a set of tools and skills that will enable them to identify and evaluate arguments. The book is intended for an introductory course that covers both formal and informal logic. As such, it is not a formal logic textbook, but is closer to what one would find marketed as a “critical thinking textbook.” The formal logic in chapter 2 is intended to give an elementary introduction to formal logic. Specifically, chapter 2 introduces several different formal methods for determining whether an argument is valid or invalid (truth tables, proofs, Venn diagrams). I contrast these formal methods with the informal method of determining validity introduced in chapter 1. What I take to be the central theoretical lesson with respect to the formal logic is simply that of understanding the difference between formal and informal methods of evaluating an argument’s validity. I believe there are also practical benefits of learning the formal logic. First and foremost, once one has internalized some of the valid forms of argument, it is easy to impose these structures on arguments one encounters. The ability to do this can be of use in evaluating an argumentative passage, especially when the argument concerns a topic with which one is not very familiar (such as on the GRE or LSAT).
creator: Matthew J. Van Cleave
source: 25. rkbctcWjo3OFhGODNSYTZPMVU/view
publisher: Lansing Community College
contributor: Rahmah Agustira
rights: Creative Commons
type: Textbooks

Abstract Algebra
subject: Algebra
subject: Mathematics
description: This text is intended for a one or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.
creator: Thomas W. Judson
creator: Robert A. Beezer
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Active Calculus Multivariable
subject: Calculus
subject: Mathematics
description: In Active Calculus - Multivariable, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true.
creator: Steven Schlicker
creator: David Austin
creator: Matthew Boelkins
contributor: Cut Rita Zahara
rights: Cretaive Commons
type: Textbooks

Vector Calculus
subject: Vector
subject: Calculus
description: This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in single-variable calculus (a.k.a. Calculus I and II). I have tried to be somewhat rigorous about proving results. But while it is important for students to see full-blown proofs - since that is how mathematics works - too much rigor and emphasis on proofs can impede the ﬂow of learning for the vast majority of the audience at this level. If I were to rate the level of rigor in the book on a scale of 1 to 10, with 1 being completely informal and 10 being completely rigorous, I would rate it as a 5.
creator: Michael Corral
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Trigonometry
subject: Trigonometry
subject: Mathematics
creator: Larry Ottman
creator: Andrea Hayes
creator: Lori Jordan
creator: Art Fortgang
creator: Mara Landers
creator: Brenda Meery
publisher: FlexBook
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Statistical Analysis with The General Linear Model
subject: Statistical Analysis
subject: General Linear Model
subject: Mathematics
description: This course is about a large and complex set of statistical methods tied together by a unifying conceptual framework known as “The General Linear Model” (GLM). This model can be used to answer an amazing variety of research questions within an inﬁnite number of diﬀerent experimental designs. Basically, the GLM can be used to test almost any hypothesis about a dependent variable (DV) that is measured numerically (e.g., height, income, IQ, age, time needed to run a 100-yard dash, grade point average, etc.; but not categorical DVs like eye color, sex, etc.). In a ﬁrst statistics course, students will have seen some special cases of the GLM without knowing it. For example, the various kinds of “t-tests” (one-sample, between-subjects, within-subjects, etc.) are special cases of the GLM. So are correlation, regression, and the Analysis of Variance (ANOVA). We will not assume any prior knowledge of these techniques, but students should realize, if the new methods seem familiar, that they are now seeing the big picture.
creator: Jeff Miller
creator: Patricia Haden
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Calculus
subject: Calculus
description: An openly licensed applied calculus textbook, covering derivatives, integrals, and an intro to multivariable calculus. This book is heavily remixed from Dale Hoffman's Contemporary Calculus textbook, and retains the same conceptual focus from that text. License: Creative Commons Attribution. This license is considered to be some to be the most open license since it is the least restrictive. It allows reuse, remixing, and distribution (including commercial), only requiring attribution. The content can be remixed into content of other license, but on the other hand it allows the remix to be put under a more restrictive license.
creator: Shana Calaway
creator: Dale Hoffman
creator: David Lippman
publisher: Open TextBook Store
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Discrete Structures
subject: Discrete Structures
subject: Mathematics
description: Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http://www.aimath.org/textbooks/. This version was created using Mathbook Xml (https://mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at Umass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at Umass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
creator: Alan Doerr
creator: Kenneth Levasseur
publisher: University of Massachusetts Lowell
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus For the Life Sciences: A Modeling Approach Volume I
subject: Calculus
subject: Mathematics
description: In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There is a chapter on systems of two difference equations.
creator: James L. Cornette
creator: Ralph A. Ackerman
publisher: Flooved.com on behalf of the author
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus for The Life Sciences A Modeling Approach Volume II
subject: Calculus
subject: Mathematics
description: In our text, mathematical modeling and difference and differential equations lead, closely follow, and extend the elements of calculus. Chapter one introduces mathematical modeling in which students write descriptions of some observed processes and from these descriptions derive first order linear difference equations whose solutions can be compared with the observed data. In chapters in which the derivatives of algebraic, exponential, or trigonometric functions are defined, biologically motivated differential equations and their solutions are included. The chapter on partial derivatives includes a section on the diffusion partial differential equation. There is a chapter on systems of two difference equations.
creator: James L. Cornette
creator: Ralph A. Ackerman
publisher: Flooved.com on behalf of the author
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Combinatorics
subject: Mathematics
description: Combinatorics is a subfield of "discrete mathematics," so we should begin by asking what discrete mathematics means. The differences are to some extent a matter of opinion, and various mathematicians might classify specific topics differently. "Discrete" should not be confused with "discreet," which is a much more commonly-used word. They share the same Latin root, "discretio," which has to do with wise discernment or separation. In the mathematical "discrete," the emphasis is on separateness, so "discrete" is the opposite of \continuous." If we are studying objects that can be separated and treated as a (generally countable) collection of units rather than a continuous structure, then this study falls into discrete mathematics. In calculus, we deal with continuous functions, so calculus is not discrete mathematics. In linear algebra, our matrices often have real entries, so linear algebra also does not fall into discrete mathematics.Text books on discrete mathematics often include some logic, as discrete mathematics is often used as a gateway course for upper-level math. Elementary number theory and set theory are also sometimes covered. Algorithms are a common topic, as algorithmic techniques tend to work very well on the sorts of structures that we study in discrete mathematics. In Combinatorics, we focus on combinations and arrangements of discrete structures. There are have major branches of combinatorics that we will touch on in this course: enumeration, graph theory, Ramsey Theory, design theory, and coding theory. (The related topic of cryptography can also be studied in combinatorics, but we will not touch on it in this course.) We will focus on enumeration, graph theory, and design theory, but will briey introduce the other two topics.
creator: Joy Morris
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Differential Equations
subject: Mathematics
subject: Differential Equations
description: Much of the material of Chapters 2-6 and 8 has been adapted from thewidely used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, ○c 2001). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven H. Strogatz (Perseus Publishing, ○c 1994)
creator: Jeffrey R. Chasnov
publisher: The Hong Kong University of Science and Technology
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Modern Set Theory
subject: Modern Set Theory
subject: Mathematics
description: Introduction to Modern Set Theory is designed for a one-semester course in set theory at the advanced undergraduate or beginning graduate level. Three features are the full integration into the text of the study of models of set theory, the use of illustrative examples both in the text and in the exercises, and the integration of consistency results and large cardinals into the text early on. This book is aimed at two audiences: students who are interested in studying set theory for its own sake, and students in other areas who may be curious about applications of set theory to their field. In particular, great care is taken to develop the intuitions that lie behind modern, as well as classical, set theory, and to connect set theory with the rest of mathematics.
creator: Judith Roitman
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Math in Society
subject: Mathematics
subject: Society
description: Math in Society is a free, open textbook. This book is a survey of contemporary mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriate for in-class, group, or individual investigation. This book is appropriate for Math 107 (Washington State Community Colleges common course number).
creator: David Lippman
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Mathematical Reasoning: Writing and Proof
subject: Mathematical Reasoning
description: Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs. Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout. For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills
creator: Ted Sundstrom
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Notes on Diffy Qs: Differential Equations for Engineers
subject: Differential Equations
subject: Engineers
description: This book originated from my class notes for teaching Math 286 at the University of Illinois at Urbana-Champaign in Fall 2008 and Spring 2009. It is a ﬁrst course on differential equations for engineers. I also taught Math 285 at UIUC and Math 20D at UCSD using this book. The standard book at UIUC was Edwards and Penney, Differential Equations and Boundary Value Problems: Computing and Modeling [EP], fourth edition. The standard book at UCSD is Boyce and DiPrima’s Elementary Differential Equations and Boundary Value Problems [BD]. As the syllabus at UIUC was based on [EP], the early chapters in the book have some resemblance to [EP] in choice of material and its sequence, and examples used. Among other books I used as sources of information and inspiration are E.L. Ince’s classic (and inexpensive) Ordinary Differential Equations [I], Stanley Farlow’s Differential Equations and Their Applications [F], now available from Dover, Berg and McGregor’s Elementary Partial Differential Equations [BM], and William Trench’s free book Elementary Differential Equations with Boundary Value Problems [T]. See the Further Reading chapter at the end of the book.
creator: Jiˇrí Lebl
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus
subject: Precalculus
subject: Mathematics
description: There are key differences between the way teaching and learning takes place in high schools and universities. Our goal is much more than just getting you to reproduce what was done in the classroom. Here are some key points to keep in mind: • The pace of this course will be faster than a high school class in precalculus. Above that, we aim for greater command of the material, especially the ability to extend what we have learned to new situations. • This course aims to help you build the stamina required to solve challenging and lengthy multi-step problems. • As a rule of thumb, this course should on average take 15 hours of effort per week. That means that in addition to the 5 classroom hours per week, you would spend 10 hours extra on the class. This is only an average and my experience has shown that 12–15 hours of study per week (outside class) is a more typical estimate. In other words, for many students, this course is the equivalent of a halftime job! • Because the course material is developed in a highly cumulative manner, we recommend that your study time be spread out evenly over the week, rather than in huge isolated blocks. An analogy with athletics is useful: If you are preparing to run a marathon, you must train daily; if you want to improve your time, you must continually push your comfort zone.
creator: David H. Collingwood
creator: K. David Prince
creator: Matthew M. Conroy
publisher: University of Washington
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Precalculus An Investigation of Functions Edition 1.5
subject: Precalculus
subject: Mathematics
creator: David Lippman
creator: Melonie Rasmussen
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus
subject: Calculus
subject: Mathematics
description: This text comprises a three–volume series on Calculus. The ﬁrst part covers material taught in many “Calc ” courses: limits, derivaves, and the basics of integraon, found in Chapters through . The second text covers material oen taught in “Calc :” integraon and its applicaons, along with an introducon to sequences, series and Taylor Polynomials, found in Chapters through . The third text covers topics common in “Calc ” or “mulvariable calc:” parametric equaons, polar coordinates, vector–valued funcons, and funcons of more than one variable, found in Chapters through.
creator: Gregory Hartman, Ph.D.
creator: Troy Siemers, Ph.D.
creator: Brian Heinold, Ph.D.
creator: Dimplekumar Chalishajar, Ph.D.
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Geometry
subject: Geometry
subject: Mathematics
description: Geometry is used in many areas—from art to science. For example, geometry plays a key role in construction, fashion design, architecture, and computer graphics. This course focuses on the main ideas of geometry that are the foundation of applications of geometry used everywhere. In this chapter, you’ll study the basic elements of geometry. Later you will prove things about geometric shapes using the vocabulary and ideas in this chapter—so make sure that you completely understand each of the concepts presented here before moving on.
creator: Victor Cifarelli
creator: Andrew Gloag
creator: Dan Greenberg
creator: Jim Sconyers
creator: Bill Zahner
publisher: CK-12 Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Linear Algebra with Applications
subject: Linear Algebra
description: This textbook is an introduction to the ideas and techniques of linear algebra for ﬁrst- or second-year students with a working knowledge of high school algebra. The contents have enough ﬂexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a onesemester course for beginners whereas Chapters 5–9 contain a second semester course (see the Suggested Course Outlines below). The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may be omitted. As a rule, students of linear algebra learn by studying examples and solving problems. Accordingly, the book contains a variety of exercises (over 1200, many with multiple parts), ordered as to their difﬁculty. In addition, more than 375 solved examples are included in the text, many of which are computational in nature. The examples are also used to motivate (and illustrate) concepts and theorems, carrying the student from concrete to abstract. While the treatment is rigorous, proofs are presented at a level appropriate to the student and may be omitted with no loss of continuity. As a result, the book can be used to give a course that emphasizes computation and examples, or to give a more theoretical treatment (some longer proofs are deferred to the end of the Section). Linear Algebra has application to the natural sciences, engineering, management, and the social sciences as well as mathematics. Consequently, 18 optional “applications” sections are included in the text introducing topics as diverse as electrical networks, economic models, Markov chains, linear recurrences, systems of differential equations, and linear codes over ﬁnite ﬁelds. Additionally some applications (for example linear dynamical sy…
creator: W. Keith Nicholson
publisher: lyryx with Open Texts
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Spiral Workbook for Discrete Mathematics
subject: Discrete
subject: Mathematics
description: This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.
creator: Harris Kwong
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Armstrong Calculus
subject: Calculus
subject: Mathematics
description: The text is mostly an adaptation of two other excellent open- source calculus textbooks: Active Calculus by Dr. Matt Boelkins of Grand Valley State University and Drs. Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar, and Jennifer Bowen of the Virginia Military Institute and Mount Saint Mary's University. Both of these texts can be found at http://aimath.org/textbooks/approved-textbooks/. The authors of this text have combined sections, examples, and exercises from the above two texts along with some of their own content to generate this text. The impetus for the creation of this text was to adopt an open-source textbook for Calculus while maintaining the typical schedule and content of the calculus sequence at our home institution.
creator: Michael Tiemeyer
creator: Jared Schlieper
publisher: University System of Georgia
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Dalton State College APEX Calculus
subject: Calculus
subject: Mathematics
description: This text for Analytic Geometry and Calculus I, II, and III is a Dalton State College remix of APEX Calculus 3.0. The text was created through a Round Six ALG Textbook Transformation Grant. Topics covered in this text include: Limits Derivatives Integration Antidifferentiation Sequences Vectors
creator: Thomas Gonzalez
creator: Michael Hilgemann
creator: Jason Schmurr
publisher: Dalton State College
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to the Modeling and Analysis of Complex Systems
subject: Modeling
subject: Analysisof Complex Systems
subject: Mathematics
description: Introduction to the Modeling and Analysis of Complex Systems introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science. Complex systems are systems made of a large number of microscopic components interacting with each other in nontrivial ways. Many real-world systems can be understood as complex systems, where critically important information resides in the relationships between the parts and not necessarily within the parts themselves. This textbook offers an accessible yet technically-oriented introduction to the modeling and analysis of complex systems. The topics covered include: fundamentals of modeling, basics of dynamical systems, discrete-time models, continuous-time models, bifurcations, chaos, cellular automata, continuous field models, static networks, dynamic networks, and agent-based models. Most of these topics are discussed in two chapters, one focusing on computational modeling and the other on mathematical analysis. This unique approach provides a comprehensive view of related concepts and techniques, and allows readers and instructors to flexibly choose relevant materials based on their objectives and needs. Python sample codes are provided for each modeling example.
creator: Hiroki Sayama
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Story of Real Analysis
subject: Real Analysis
subject: Mathematics
description: The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis. This book proposes that an effective way to motivate these definitions is to tell one of the stories (there are many) of the historical development of the subject, from its intuitive beginnings to modern rigor. The definitions and techniques are motivated by the actual difficulties encountered by the intuitive approach and are presented in their historical context However, this is not a history of analysis book. It is an introductory analysis textbook, presented through the lens of history. As such, it does not simply insert historical snippets to supplement the material. The history is an integral part of the topic, and students are asked to solve problems that occur as they arise in their historical context. This book covers the major topics typically addressed in an introductory undergraduate course in real analysis in their historical order. Written with the student in mind, the book provides guidance for transforming an intuitive understanding into rigorous mathematical arguments. For example, in addition to more traditional problems, major theorems are often stated and a proof is outlined. The student is then asked to fill in the missing details as a homework problem.
creator: Robert Rogers
creator: Eugene Boman
publisher: Open SUNY Textbooks
contributor: Cut Rita Zahra
rights: Creative Commons
type: Textbooks

Combinatorics Through Guided Discovery
subject: Combinatorics
subject: Mathematics
description: This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as "counting." The book consist almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. Above all, this book is dedicated to the principle that doing mathematics is fun. As long as you know that some of the problems are going to require more than one attempt before you hit on the main idea, you can relax and enjoy your successes, knowing that as you work more and more problems and share more and more ideas, problems that seemed intractable at first become a source of satisfaction later on. There are six chapters as well as an appendix with three additional topics: What is Combinatorics? Applications of Induction and Recursion in Combinatorics and Graphy Theory Distribution Problems Generating Functions The Principle of Inclusion and Exclusion Groups Acting on Sets The three supplmental sections deal with relations, mathematical induction, and exponential generating functions.
creator: Kenneth P. Bogart
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Discrete Mathematics
subject: Discrete
subject: Mathematics
description: his text was written to be used as the primary text for the class Discrete Mathematics (Math 228) at the University of Northern Colorado. The course serves as the role of a transitions course (introduction to proof), as well as an introduction to topics in discrete mathematics. While we have a few students each semester who will go on to study computer science, pure mathematics or applied mathematics, the majority of students are studying to be elementary or secondary math teachers. For this reason, most of the standard discrete textbooks are not appropriate for us. For many years we used Discrete and Combinatorial Mathematics by Richard Grassl and Tabitha Mingus. This is a very nice book in many ways (Grassl taught at UNC) but the print-on-demand publishing was expensive for students and some sections needed updating and (as I saw it) rearranging. While the book began as a set of lecture notes, it now contains a number of features that should support its use as a primary textbook: 363 exercises, including 233 with answers or full solutions, as well as 130 more involved problems suitable for homework. Investigate! activities throughout the text to support active, inquiry based learning. A full index and list of symbols. Consistent and (hopefully) helpful page layout and formatting (i.e., examples are easy to identify, important definitions and theorems in boxes, etc.)
creator: Oscar Levin
publisher: Oscar Levin
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

The Curious Country
subject: Country
description: By definition scientists are an inquisitive lot. But what are the scientific curiosities and concerns on the minds of Australians? What worries them, baffles them, and sets their curiosity meter to 10 out of 10? To find out, the Office of the Chief Scientist (OCS) took the nation’s intellectual temperature, surveying 1186 Australians: men and women aged 18 to 65, from all education levels and locations around Australia. The results frame this book: a collection of essays covering the diverse areas of science Australians are curious about. Edited by eminent science writer Leigh Dayton and including a foreword from Australia’s Chief Scientist, Ian Chubb. The collection covers a range of issues, including food and farming technology, environmental upheaval, health, fuel and energy technology and space exploration.
creator: Leigh Dayton,
source: http://oapen.org/download
publisher: ANU Press, Canberra
contributor: Rika Zulfia
rights: Creative Commons
type: Textbooks

Algebra and Trigonometry
subject: Algebra
subject: Trigonometry
subject: Mathematics
description: lgebraic principles. The text is suitable for a typical introductory Algebra & Trigonometry course, and was developed to be used flexibly. The modular approach and the richness of content ensures that the book meets the needs of a variety of programs. Algebra and Trigonometry guides and supports students with differing levels of preparation and experience with mathematics. Ideas are presented as clearly as possible, and progress to more complex understandings with considerable reinforcement along the way. A wealth of examples – usually several dozen per chapter – offer detailed, conceptual explanations, in order to build in students a strong, cumulative foundation in the material before asking them to apply what they’ve learned.
creator: Multiple Authors
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Brief Calculus
subject: Calculus
creator: Benjamin Crowell
publisher: Open Textbooks
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Volume 1
subject: Calculus
subject: Mathematics
description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration. OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
creator: Gilbert Strang
creator: Edwin Herman
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Volume 2
subject: Calculus
subject: Mathematics
description: Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.
creator: Gilbert Strang
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Calculus Volume 3
subject: Calculus
creator: Gilbert Strang
publisher: OpenStax
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Collaborative Statistics
subject: Statistics
description: Collaborative Statistics was written by Barbara Illowsky and Susan Dean, faculty members at De Anza College in Cupertino, California. The textbook was developed over several years and has been used in regular and honors-level classroom settings and in distance learning classes. Courses using this textbook have been articulated by the University of California for transfer of credit. The textbook contains full materials for course offerings, including expository text, examples, labs, homework, and projects. A Teacher’s Guide is currently available in print form and on the Connexions site at and supplemental course materials including additional problem sets and video lectures are available. The on-line text for each of these collections collections will meet the Section 508 standards for accessibility. An on-line course based on the textbook was also developed by Illowsky and Dean. It has won an award as the best on-line California community college course. The on-line course will be available at a later date as a collection in Connexions, and each lesson in the on-line course will be linked to the on-line textbook chapter. The on-line course will include, in addition to expository text and examples, videos of course lectures in captioned and non-captioned format. The original preface to the book as written by professors Illowsky and Dean, now follows: This book is intended for introductory statistics courses being taken by students at two– and four–year colleges who are majoring in fields other than math or engineering. Intermediate algebra is the only prerequisite. The book focuses on applications of statistical knowledge rather than the theory behind it. The text is named Collaborative Statistics because students learn best by doing. In fact, they learn best by working in small groups. The old saying “two heads are better than one” truly applies here. Our emphasis in this text is on four main concepts: thinking statistically incorporating technology working collabo…
creator: Barbara Illowsky
creator: Susan Dean
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Foundation In Applied Mathematics
subject: Mathematics
description: This module develops concepts and techniques for studying functions. You will learn about one of the foundations of applied mathematics, i.e. the algebraic and graphic methods for studying functions. You'll be introduced to clear define and recognize functions, see how they constitute a special type of relation, and then move on to consider the simple, useful class of functions called linear functions. Along the way you'll have plenty of chances to practise what you're learning in examples and exercises.
creator: The Open University of Hong Kong
publisher: The Open University of Hong Kong
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Foundation In Pure Mathematics
subject: Pure Mathematics
description: Everyone in Hong Kong has heard of the Mark Six! Players select six different numbers from 49 possibilities in the hope of winning a small fortune - or possibly even a large one. So how many different choices of six numbers out of 49 are there? If you just sat down to count out all the possible combination, it would take you a very long time indeed. But in mathematics we have other counting tools that can assist us in this counting task. Learning to use these tools is the basis for learning about counting and probability. The first section in this module introduces basic counting principles, and helps you work through some simple counting problems. You will learn how the Addition and Multiplication Principles can be applied to determine the number of possible combinations. You will then look at two important counting tools, namely permutations and combinations, and compare the different counting principle between them. The second section in this module introduces you to probability as a measure of chance. It gives you a numerical means of comparing different degrees of chance. You learn by looking at common games of chance: tossing a coin, selecting a playing card, or throwing dice.
creator: The Open University of Hong Kong
publisher: The Open University of Hong Kong
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Intro to Logic
subject: Logic
subject: Mathematics
creator: Matthias Felleisen
creator: John Grenier
creator: Moshe Vardi
creator: Phokion Kolaitis
creator: Ian Barland
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Combinatorics
subject: Combinatorics
subject: Mathematics
description: As we hope you will sense right from the beginning, we believe that combinatorial mathematics is one of the most fascinating and captivating subjects on the planet. Combinatorics is very concrete and has a wide range of applications, but it also has an intellectually appealing theoretical side. Our goal is to give you a taste of both. In order to begin, we want to develop, through a series of examples, a feeling for what types of problems combinatorics addresses.
creator: Mitchel T. Keller
creator: William T. Trotter
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Computational Introduction to Number Theory and Algebra
subject: Computational
subject: Number Theory
subject: Algebra
description: All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well. The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications. The treatment of all these topics is more or less standard, except that the text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text, and the theory of these structures is much simpler and more transparent than that of more general, non-commutative structures. There are a few sections that are marked with a “(∗),” indicating that the material covered in that section is a bit technical, and is not needed else- where. There are many examples in the text, which form an integral part of the book, and should not be skipped. There are a number of exercises in the text that serve to reinforce, as well as to develop important applications and generali…
creator: Victor Shoup
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

A Primer of Real Analysis
subject: Real Analysis
subject: Mathematics
description: This is a short introduction to the fundamentals of real analysis. Although the prerequisites are few, I have written the text assuming the reader has the level of mathematical maturity of one who has completed the standard sequence of calculus courses, has had some exposure to the ideas of mathematical proof (including induction), and has an acquaintance with such basic ideas as equivalence relations and the elementary algebraic properties of the integers.
creator: Dan Sloughter
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Advanced Algebra II: Conceptual Explanations
subject: Algebra
description: This module contains a table of every module within the three books of Kenny Felder's course on "Algebra II", with links to the modules.
creator: Kenny M. Felder
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Probability
subject: Probability
description: This is a "first course" in the sense that it presumes no previous course in probability. The mathematical prerequisites are ordinary calculus and the elements of matrix algebra. A few standard series and integrals are used, and double integrals are evaluated as iterated integrals. The reader who can evaluate simple integrals can learn quickly from the examples how to deal with the iterated integrals used in the theory of expectation and conditional expectation. Appendix B provides a convenient compendium of mathematical facts used frequently in this work. And the symbolic toolbox, implementing MAPLE, may be used to evaluate integrals, if desired. In addition to an introduction to the essential features of basic probability in terms of a precise mathematical model, the work describes and employs user defined MATLAB procedures and functions (which we refer to as m-programs, or simply programs) to solve many important problems in basic probability. This should make the work useful as a stand-alone exposition as well as a supplement to any of several current textbooks. Most of the programs developed here were written in earlier versions of MATLAB, but have been revised slightly to make them quite compatible with MATLAB 7. In a few cases, alternate implementations are available in the Statistics Toolbox, but are implemented here directly from the basic MATLAB program, so that students need only that program (and the symbolic mathematics toolbox, if they desire its aid in evaluating integrals). Since machine methods require precise formulation of problems in appropriate mathematical form, it is necessary to provide some supplementary analytical material, principally the so-called minterm analysis. This material is not only important for computational purposes, but is also useful in displaying some of the structure of the relationships among events.
creator: Paul Pfeiffer
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

College Algebra
subject: Algebra
description: College Algebra is an introductory text for a college algebra survey course. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. The authors also offer a Precalculus version of this text, which has two extra chapters covering Trigonometry.
creator: Carl Stitz
creator: Jeff Zeager
publisher: Stitz Zeager Open Source Mathematics
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Applied Finite Mathematics
subject: Mathematics
description: Applied Finite Mathematics covers topics including linear equations, matrices, linear programming, the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary College Geometry
subject: Geometry
subject: Mathematics
description: This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively. The problems are arranged in pairs so that just the odd-numbered or just the even-numbered can be assigned. For assistance, the student may refer to a large number of completely worked-out examples. Most problems are presented in diagram form so that the difficulty of translating words into pictures is avoided. Many problems require the solution of algebraic equations in a geometric context. These are included to reinforce the student's algebraic and numerical skills, A few of the exercises involve the application of geometry to simple practical problems. These serve primarily to convince the student that what he or she is studying is useful. Historical notes are added where appropriate to give the student a greater appreciation of the subject. This book is suitable for a course of about 45 semester hours. A shorter course may be devised by skipping proofs, avoiding the more complicated problems and omitting less crucial topics.
creator: Henry Africk
publisher: CUNY Academic Works
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Elementary Differential Equations with Boundary Value Problems
subject: Differential Equations
description: Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough. An elementary text can’t be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging. An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures. Although I believe that the computer is an immensely valuable tool for learning, doing, and writing mathematics, the selection and treatment of topics in this text reflects my pedagogical orientation along traditional lines. However, I have incorporated what I believe to be the best use of modern technology, so you can select the level of technology that you want to include in your course. The text includes 336 exercises – identified by the symbols C and C/G – that call for graphics or computation and graphics. There are also 73 laboratory exercises – identified by L – that require extensive use of technology. In addition, several sections include informal advice on the use of technology. If you prefer not to emphasize technology, simply ignore these exercises and the advice.
creator: William Trench
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commmons
type: Textbooks

Fast Fourier Transforms
subject: Transforms
subject: Mathematics
description: This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting.
creator: C. Sidney Burrus
creator: Matteo Frigo
creator: Steven G. Johnson
creator: Markus Pueschel
creator: Ivan Selesnick
publisher: Connexions
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Fundamentals of Mathematics
subject: Mathematics
description: Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.
creator: Denny Burzynski
creator: Wade Ellis
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Introduction to Real Analysis
subject: Real Analysis
description: This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course. The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.
creator: William Trench
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Linear Algebra, Theory And Applications
subject: Linear Algebra
description: This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. This book features an ugly, elementary, and complete treatment of determinants early in the book. Thus it might be considered as Linear algebra done wrong. I have done this because of the usefulness of determinants. However, all major topics are also presented in an alternative manner which is independent of determinants. The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods effectively. These considerations are found in numerical analysis texts.
creator: Kenneth Kuttler
publisher: Saylor Foundation
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

The Simple Math of Writing Well: Writing for the 21st Century
subject: Simple Math
subject: Writing
description: Writing guides abound, but The Simple Math of Writing Well is one of a kind. Readers will find its practical approach affirming, encouraging, and informative, and its focus on the basics of linguistic structure releases 21st-century writers to embrace the variety of mediums that define our internet-connected world. As Harrop reminds us in the opening chapters of her book, we write more today than ever before in history: texts, emails, letters, blogs, reports, social media posts, proposals, etc. The Simple Math of Writing Well is the first guide that directly addresses the importance of writing well in the Google age.
creator: Jennie Harrop
publisher: George Fox University Library
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Statistical Inference For Everyone
subject: Statistical Inference
description: This is a new approach to an introductory statistical inference textbook, motivated by probability theory as logic. It is targeted to the typical Statistics 101 college student, and covers the topics typically covered in the first semester of such a course. It is freely available under the Creative Commons License, and includes a software library in Python for making some of the calculations and visualizations easier.
creator: Brian Blais
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Proofs and Concepts: The Fundamentals of Abstract Mathematics
subject: Mathematics
description: This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.
creator: Dave Morris
creator: Joy Morris
publisher: Independent
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

My Math GPS: Elementary Algebra Guided Problem Solving (2016 Edition)
subject: Math GPS
subject: Elementary Algebra
description: My Math GPS: Elementary Algebra Guided Problem Solving is a textbook that aligns to the CUNY Elementary Algebra Learning Objectives that are tested on the CUNY Elementary Algebra Final Exam (CEAFE). This book contextualizes arithmetic skills into Elementary Algebra content using a problem-solving pedagogy. Classroom assessments and online homework are available from the authors.
creator: Jonathan Cornick
creator: Michael Guy
creator: Karan Puri
publisher: CUNY Academic Works
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Principles of Business Statistics
subject: Business
subject: Statistics
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbooks

Logaritma
description: Open Educational Resource (OER) Unsyiah adalah satu satu Portal yang dikembangkan oleh Perpustakaan Universitas Syiah Kuala. OER Unsyiah berbasis Open Acces untuk siapa saja dan di mana saja. Bahkan Kami juga akan menerima kontribusi yang ingin ikut berpartisipasi dalam OER Unsyiah: http://uilis.unsyiah.ac.id/oer/contribution. Di sini, Kami menyediakan berbagai bentuk Course, seperti Textbook, Video, Audio, dan sebagainnya dengan berbagai bidang materi yang bervariasi. Namun, yang perlu diketahui bahwa OER Unsyiah berLisensi Creative Commons. Nah, bagi yang berkenan atau ingin mempelajari berbagai bidang materi mari kunjungi link UPT. Perpustakaan Unsyiah: http://uilis.unsyiah.ac.id/oer/ http://uilis.unsyiah.ac.id/ http://uilis.unsyiah.ac.id/oer/ https://www.facebook.com/groups/pustaka.unsyiah/ https://www.youtube.com/channel/UCvOxlI8WMHLUWuPTD80jNUw https://www.instagram.com/upt_perpustakaan_unsyiah/?hl=en
source: http://youtu.be/wMCwz3KjXzA
publisher: OER UNSYIAH published via YouTube.com
date: 2018-03-20T10:11:56.000Z
contributor: Cut Rita Zahara
rights: Creative Commons License
type: Video

Elementary Algebra
subject: Algebra
description: Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. Use of this book will help the student develop the insight and intuition necessary to master algebraic techniques and manipulative skills. Elementary Algebra is a work text that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.
creator: Wade Ellis
creator: Denny Burzynski
publisher: OpenStax CNX
contributor: Cut Rita Zahara
rights: Creative Commons
type: Textbook

Map of Mathematics Poster
subject: Mathematics
description: All of mathematics summarised in one poster.
contributor: Cut Rita Zahara
rights: Creative Commons
type: Image

Calculus -- The foundation of modern science
description: Easy to understand explanation of integrals and derivatives using 3D animations.
source: http://youtu.be/rjLJIVoQxz4
publisher: Physics Videos by Eugene Khutoryansky published via YouTube.com
date: 2014-04-11T01:43:34.000Z
rights: Creative Commons License

Trigonometry
subject: Trigonometry
description: The precursors to what we study today as Trigonometry had their origin in ancient Mesopotamia, Greece and India. These cultures used the concepts of angles and lengths as an aid to understanding the movements of the heavenly bodies in the night sky. Ancient trigonometry typically used angles and triangles that were embedded in circles so that many of the calculations used were based on the lengths of chords within a circle. The relationships between the lengths of the chords and other lines drawn within a circle and the measure of the corresponding central angle represent the foundation of trigonometry - the relationship between angles and distances.
creator: Richard Beveridge
source: https://open.umn.edu
publisher: Independent
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Calculus
subject: Calculus
description: Gilbert Strang's clear, direct style and detailed, intensive explanations make this textbook ideal as both a course companion and for self-study. Single variable and multivariable calculus are covered in depth. Key examples of the application of calculus to areas such as physics, engineering and economics are included in order to enhance students' understanding. New to the second edition is a chapter on the 'Highlights of Calculus', which accompanies the popular video lectures by the author on MIT's OpenCourseWare.
creator: GILBERT STRANG
source: https://ocw.mit.edu
publisher: Wellesley-Cambridge
date: 2010
contributor: Baihaqi
rights: -
format: PDF
language: Englis
type: Textbook

ACTIVE CALCULUS
subject: CALCULUS
description: In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore. Following key activities or examples, the presentation normally includes some overall perspective and a brief synopsis of general trends or properties, followed by formal statements of rules or theorems. While we often offer plausibility arguments for such results, rarely do we include formal proofs. It is not the intent of this text for the instructor or author to demonstrate to students that the ideas of calculus are coherent and true, but rather for students to encounter these ideas in a supportive, leading manner that enables them to begin to understand for themselves why calculus is both coherent and true. This approach is consistent with the growing body of scholarship that calls for students to be interactively engaged in class.
creator: Matthew Boelkins, David Austin, Steven Schlicker
source: http://www.oercommons.org
publisher: Department of Mathematics Grand Valley State University
date: 2016
contributor: Baihaqi
rights: Creative
format: PDF
language: English
type: Textbook

College Algebra
subject: Algebra
description: It’s a cold day in Antarctica. In fact, it’s always a cold day in Antarctica. Earth’s southernmost continent, Antarctica experiences the coldest, driest, and windiest conditions known. The coldest temperature ever recorded, over one hundred degrees below zero on the Celsius scale, was recorded by remote satellite. It is no surprise then, that no native human population can survive the harsh conditions. Only explorers and scientists brave the environment for any length of time. Measuring and recording the characteristics of weather conditions in Antarctica requires a use of different kinds of numbers. Calculating with them and using them to make predictions requires an understanding of relationships among numbers. In this chapter, we will review sets of numbers and properties of operations used to manipulate numbers. This understanding will serve as prerequisite knowledge throughout our study of algebra and trigonometry
creator: Jay Abramson
source: https://openstax.org/details/books/college-algebra
publisher: https://openstax.org
date: 2015
contributor: Baihaqi
rights: Creative
format: PDF
language: English
type: Textbook

Elementary Algebra
subject: Algebra
description: Elementary Algebra is licensed under a Creative Commons Attribution 4.0 International (CC BY) license, which means that you can distribute, remix, and build upon the content, as long as you provide attribution to OpenStax and its content contributors. Because our books are openly licensed, you are free to use the entire book or pick and choose the sections that are most relevant to the needs of your course. Feel free to remix the content by assigning your students certain chapters and sections in your syllabus, in the order that you prefer. You can even provide a direct link in your syllabus to the sections in the web view of your book.Instructors also have the option of creating a customized version of their OpenStax book. The custom version can be made available to students in low-cost print or digital form through their campus bookstore. Visit your book page on openstax.org for more information.
creator: LYNN MARECEK, MARYANNE ANTHONY-SMITH,F
source: https://openstax.org/details/books/elementary-algebra
publisher: https://openstax.org
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

A First Course in LINEAR ALGEBRA an Open Text
subject: LINEAR ALGEBRA
description: A First Course in Linear Algebra presents an introduction to the fascinating subject of linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail, with proofs of important theorems provided. Separate sections may be included in which proofs are examined in further depth and in general these can be excluded without loss of contrinuity. Where possible, applications of key concepts are explored. In an effort to assist those students who are interested in continuing on in linear algebra connections to additional topics covered in advanced courses are introduced. Each chapter begins with a list of desired outcomes which a student should be able to achieve upon completing the chapter. Throughout the text, examples and diagrams are given to reinforce ideas and provide guidance on how to approach various problems. Students are encouraged to work through the suggested exercises provided at the end of each section. Selected solutions to these exercises are given at the end of the text.
creator: Ken Kuttler
source: https://lyryx.com/products/mathematics/first-course-linear-algebra/
publisher: Lyryx
date: 2017
contributor: Baihaqi
rights: creative Commons
format: PDF
language: English
type: Textbook

Elementary Differential Equations
subject: Differential Equations
description: In order to apply mathematical methods to a physical or “real life” problem, we must formulate the problem in mathematical terms; that is, we must construct a mathematical model for the problem. Many physical problems concern relationships between changing quantities. Since rates of change are represented mathematically by derivatives, mathematical models often involve equations relating an unknown function and one or more of its derivatives. Such equations are differential equations. They are the subject of this book
creator: William F. Trench
source: https://digitalcommons.trinity.edu/cgi/viewcontent.cgi
publisher: Trinity University
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

LINEAR ALGEBRA
subject: ALGEBRA
description: This book helps students to master the material of a standard US undergraduate first course in Linear Algebra. The material is standard in that the subjects covered are Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues and eigenvectors. Another standard is book’s audience: sophomores or juniors, usually with a background of at least one semester of calculus. The help that it gives to students comes from taking a developmental approach — this book’s presentation emphasizes motivation and naturalness, using many examples. The developmental approach is what most recommends this book so I will elaborate. Courses at the beginning of a mathematics program focus less on theory and more on calculating.
creator: Jim Hefferon
source: http://joshua.smcvt.edu/linearalgebra/book.pdf
publisher: Mathematics, Saint Michael’s College Colchester
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Algebra Textbook
subject: Algebra
description: The Mayans used arithmetic to make astronomical computations, and developed the concept of zero over 2,000 years ago. The word “arithmetic” is derived from the Greek word arithmos (translated as “number”). It is the oldest and most elementary branch of mathematics and is used for a variety of tasks ranging from simple counting to advanced science and business calculations.
creator: College of the Redwoods, Department of Mathematics
source: http://msenux2.redwoods.edu/ElemAlgText/ElementaryAlgebra.pdf
publisher: College of the Redwoods, Department of Mathematics
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Statistics Using Technology
subject: Statistics, Technology
description: You are exposed to statistics regularly. If you are a sports fan, then you have the statistics for your favorite player. If you are interested in politics, then you look at the polls to see how people feel about certain issues or candidates. If you are an environmentalist, then you research arsenic levels in the water of a town or analyze the global temperatures. If you are in the business profession, then you may track the monthly sales of a store or use quality control processes to monitor the number of defective parts manufactured. If you are in the health profession, then you may look at how successful a procedure is or the percentage of people infected with a disease. There are many other examples from other areas. To understand how to collect data and analyze it, you need to understand what the field of statistics is and the basic definitions.
creator: Kathryn Kozak
source: https://s3-us-west-.amazonaws.com/oerfiles/statsusingtech2.pdf
publisher: -
date: 2015
contributor: Baihaqi
format: Format
language: Englis
type: Textbook

Precalculus
subject: Precalculus
description: Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way.
creator: Jay Abramson,
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Precalculus-OP_88kwxYo.pdf
publisher: OpenStax
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Lies, Damned Lies, or Statistics: How to Tell the Truth with Statistics
subject: Statistics
description: Mathematical definitions should be perfectly precise because they do not describe something which is observed out there in the world, since such descriptive definitions might have fuzzy edges. In biology, for example, whether a virus is considered “alive” could be subject to some debate: viruses have some of the characteristics of life, but not others. This makes a mathematician nervous.
creator: Jonathan Poritz
source: https://www.poritz.net/jonathan/share/ldlos.pdf
publisher: Independent
date: 2017
contributor: Baihaqi
rights: Creative Commona
format: PDF
language: English
type: Textbook

Linear Algebra
subject: Algebra
description: We believe the entire book can be taught in twenty five 50-minute lectures to a sophomore audience that has been exposed to a one year calculus course. Vector calculus is useful, but not necessary preparation for this book, which attempts to be self-contained. Key concepts are presented multiple times, throughout the book, often first in a more intuitive setting, and then again in a definition, theorem, proof style later on. We do not aim for students to become agile mathematical proof writers, but we do expect them to be able to show and explain why key results hold. We also often use the review exercises to let students discover key results for themselves; before they are presented again in detail later in the book.
creator: David Cherney, Tom Denton, Andrew Waldon
source: https://www.math.ucdavis.edu/~linear/linear-guest.pdf
publisher: Independent
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Ordinary Differential Equations
subject: Differential Equations
description: This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take. This book consists of 10 chapters, and the course is 12 weeks long. Each chapter is covered in a week, and in the remaining two weeks I summarize the entire course, answer lots of questions, and prepare the students for the exam. I do not cover the material in the appendices in the lectures. Some of it is basic material that the students have already seen that I include for completeness and other topics are "tasters" for more advanced material that students will encounter in later courses or in their project work.
creator: Stephen Wiggins
source: https://open.umn.edu/opentextbooks/textbooks/ordinary-differential-equations
publisher: Independent
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Trigonometry
subject: Trigonometry
description: This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior athematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section
creator: Ted Sundstrom, Steven Schlicker
source: https://scholarworks.gvsu.edu/cgi/viewcontent.cgi
publisher: Grand Valley State University
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Regression Using R: An Introduction to Data Modeling
subject: Linear Regression
description: Linear Regression Using R: An Introduction to Data Modeling presents one of the fundamental data modeling techniques in an informal tutorial style. Learn how to predict system outputs from measured data using a detailed step-by-step process to develop, train, and test reliable regression models. Key modeling and programming concepts are intuitively described using the R programming language. All of the necessary resources are freely available online.
creator: David Lilja
source: https://conservancy.umn.edu/bitstream/handle/11299/189222/LinearRegression_fulltext.pdf? sequence=5&isAllowed=y
publisher: University of Minnesota Libraries Publishing
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

College Trigonometry
subject: Trigonometry
description: -
creator: Carl Stitz, Jeff Zeager
source: http://www.stitz-zeager.com/szct07042013.pdf
publisher: Stitz Zeager Open Source Mathematics
date: 2011
contributor: Baihaqi
rights: Creative Comnmons
format: PDF
language: English
type: Textbook

Solving Linear Equations - Basic Algebra Shortcut Tricks!
description: This algebra video tutorial shows you how to solve linear equations that contain fractions and variables on both sides of the equation. This video contains plenty of examples and practice problems for you to work on.
creator: -
source: https://www.youtube.com/watch
publisher: The Organic Chemistry Tutor published via YouTube.com
date: 2016-08-16T20:34:01.000Z
contributor: Baihaqi
rights: Creative Commons
format: Video
language: English
type: Tutoring

Contemporary Calculus I . For the students
subject: Calculus
description: This is a textbook for differential calculus with explanations, examples, worked solutions, problem sets and answers. It has been reviewed by calculus instructors and class-tested by them and the author. Topics are typically introduced by way of applications, and the text contains the usual theorems and techniques of a first course in calculus. Besides technique practice and applications of the techniques, the examples and problem sets are also designed to help students develop a visual and conceptual understanding of the main ideas of differential calculus.
creator: Dale Hoffman
source: http://scidiv.bellevuecollege.edu/dh/Calculus_all/CC_I_ch_0to3
publisher: http://www.opentextbookstore.com
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Basic Arithmetic Workbook
subject: Arithmetic
description: This workbook was created through the efforts of three instructors at Scottsdale Community College in Scottsdale, Arizona, has been used by thousands of students, and is continually improved. This workbook contains have lessons that were carefully and thoughtfully crafted to lead students on a path to understanding numbers and arithmetic.
creator: Donna Gaudet, Amy Volpe ,Jenifer Bohart
source: https://sccmath.files.wordpress.com/2013/04/082_final_wkbook__2nded.pdf
publisher: Scottsdale Community College
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Applied Calculus
subject: Calculus
description: Calculus was first developed more than three hundred years ago by Sir Isaac Newton and Gottfried Leibniz to help them describe and understand the rules overning the motion of planets and moons. Since then, thousands of other men and women have refined the basic ideas of calculus, developed new techniques to make the calculations easier, and found ways to apply calculus to problems besides planetary motion. Perhaps most importantly, they have used calculus to help understand a wide variety of physical, biological, economic and social phenomena and to describe and solve problems in those areas. Part of the beauty of calculus is that it is based on a few very simple ideas
creator: Shana Calaway, Dale Hoffman, David Lippman
source: http://www.opentextbookstore.com/appcalc/appcalc.pdf
publisher: http://www.opentextbookstore.com
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Differential Equations
subject: Differential Equations
description: Elementary Differential Equations with Boundary Value Problems is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. If your syllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some preparation in linear algebra. In writing this book I have been guided by the these principles: An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough.
creator: William F. Trench
source: https://scholarcommons.usf.edu/cgi/viewcontent.cgi
publisher: Trinity University
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Precalculus
subject: Precalculus
description: From the preface, "These are notes for a course in precalculus, as it is taught at New York City College of Technology - CUNY (where it is offered under the course number MAT 1375). Our approach is calculator based. For this, we will use the currently standard TI-84 calculator, and in particular, many of the examples will be explained and solved with it. However, we want to point out that there are also many other calculators that are suitable for the purpose of this course and many of these alternatives have similar functionalities as the calculator that we have chosen to use. An introduction to the TI-84 calculator together with the most common applications needed for this course is provided in appendix A. In the future we may expand on this by providing introductions to other calculators or computer algebra systems."
creator: Thomas Tradler, Holly Carley
source: https://academicworks.cuny.edu/cgi/viewcontent.cgi
publisher: New York City College of Technology
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Trigonometry
subject: Trigonometry
description: This trigonometry textbook is different than other trigonometry books in that it is free to download, and the reader is expected to do more than read the book and is expected to study the material in the book by working out examples rather than just reading about them. So this book is not just about mathematical content but is also about the process of learning and doing mathematics. That is, this book is designed not to be just casually read but rather to be engaged. Since this can be a difficult task, there are several features of the book designed to assist students in this endeavor. In particular, most sections of the book start with a beginning activity that review prior mathematical work that is necessary for the new section or introduce new concepts and definitions that will be used later in that section.
creator: Ted Sundstrom, Steven Schlicker
source: https://scholarworks.gvsu.edu/cgi/viewcontent.cgi
publisher: Grand Valley State University
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Algebra and Mathematics. Explained with easy to understand 3D animations.
subject: Algebra
description: Explains variables, systems of equations, Cartesian coordinates, and many other concepts. Fun and educational for all ages.
creator: Eugene Khutoryansky
source: http://youtu.be/MJYsXGbxueY
publisher: YouTube.com
date: 2014-01-21
contributor: Baihaqi
rights: Creative Commons License
format: Video
language: English
type: Toturials

Fundamentals of Matrix Algebra
subject: Matrix Algebra
description: A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations. Numerous examples are given within the easy to read text. This third edition corrects several errors in the text and updates the font faces.
creator: Gregory Hartman
source: https://drive.google.com/file/d/18m2ZaPfomgYTQ3LQxSwu9YlFy3-JvwVw/view
publisher: APEX Calculus
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

An Introduction to Matlab and Mathcad
subject: Matlab
description: This textbook, or really a “coursebook” for a college freshman-level class, has been updated for Spring 2014 and provides an introduction to programming and problem solving using both Matlab and Mathcad. We provide a balanced selection of introductory exercises and real-world problems (i.e. no “contrived” problems). We include many examples and screenshots to guide the reader. We assume no prior knowledge of Matlab or Mathcad.
creator: Troy Siemers, Ph.D.
source: https://drive.google.com/file/d/1YSCqSkxHw6NcVOG55n4fgIfiQXUpzEx_/view
publisher: APEX Calculus
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

APEX Pre Calculus
subject: Calculus
description: This text was written as a prequel to the APEXCalculus series, a three–volume series on Calculus. This text is not intended to fully prepare students with all of the mathematical knowledge they need to tackle Calculus, rather it is de-signed to review mathematical concepts that are o[en stumbling blocks in the Calculus sequence. It starts basic and builds to more complex topics. This text is written so that each secࢢon and topic largely stands on its own, making it a good resource for students in Calculus who are struggling with the supporting mathemathics found in Calculus courses. The topics were chosen based on experience; several instructors in the Applied Mathemathics Department at the Virginia Military Insࢢtute (VMI) compiled a list of topics that Calculus students commonly struggle with, giving the focus of this text.
creator: Amy Chapman, Meagan Herald, Jessica Libertini
source: https://drive.google.com/file/d/12b2cwH7afXhsYSDb-QCWKmFK2QCq7UfY/view
publisher: APEX Calculus
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Elementary Linear Algebra
subject: Algebra
description: This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and specific algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a first course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra. I have given complete proofs of all the fundamental ideas, but some topics such as Markov matrices are not complete in this book but receive a plausible introduction. The book contains a complete treatment of determinants and a simple proof of the Cayley Hamilton theorem although these are optional topics.
creator: Kuttler
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Elementary-Linear-Algebra-1-30-11-Kuttler-OTC.pdf
publisher: The Saylor Foundation
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Mathematical Analysis. Volume I
subject: Mathematical
description: This text is an outgrowth of lectures given at the University of Windsor, Canada. One of our main objectives is updating the undergraduate analysis as a rigorous postcalculus course. While such excellent books as Dieudonn´e’s Foundations of Modern Analysis are addressed mainly to graduate students, we try to simplify the modern Bourbaki approach to make it accessible to sufficiently advanced undergraduates.
creator: Elias Zakon
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Real-Analysis-I-Zakon-1-30-11-OTC.pdf
publisher: The Saylor Foundation
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Algebra, Theory And Applications
subject: Linear Algebra
description: This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however. I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.
creator: Kenneth Kuttler
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2012/02/Linear-Algebra-Kuttler-1-30-11-OTC.pdf
publisher: The Saylor Foundation
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Algebra with Applications. Open Edition
subject: Linear Algebra
description: This textbook is an introduction to the ideas and techniques of linear algebra for first- or second-year students with a working knowledge of high school algebra. The contents have enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a onesemester course for beginners whereas Chapters 5–9 contain a second semester course (see the Suggested Course Outlines below). The text is primarily about real linear algebra with complex numbers being mentioned when appropriate (reviewed in Appendix A). Overall, the aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. Calculus is not a prerequisite; places where it is mentioned may be omitted.
creator: W. Keith Nicholson,
source: https://lila1.lyryx.com/textbooks/OPEN_LAWA_1/marketing/Nicholson-OpenLAWA-2019A.pdf
publisher: Lyryx Learning Inc
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

An Introductory Course in Elementary Number Theory
subject: Elementary Number Theory
description: Integers are the building blocks of the theory of numbers. This chapter contains somewhat very simple and obvious observations starting with properties of integers and yet the proofs behind those observations are not as simple. In this chapter we introduce basic operations on integers and some algebraic definitions that will be necessary to understand basic concepts in this book. We then introduce the Well ordering principle which states basically that every set of positive integers has a smallest element. Proof by induction is also presented as an efficient method for proving several theorems throughout the book.
creator: Wissam Raji
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2013/05/An-Introductory-in-Elementary-Number-Theory.pdf
date: -
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Topics in Applied Mathematics
subject: Applied Mathematics
description: The concepts and basic topics in elementary Linear Algebra and Calculus are reviewed and generalized to Linear Analysis in this first unit. In particular, the dot product, the vector space of R 2(that is, the x − y plane in Plane Geometry), and measurement of lengths of vectors in R2 , are extended to the “inner product,” the “inner-product space,” and “norm” measurement, respectively; the notion of eigenvalues and eigenvectors from Linear Algebra is extended to the “eigenvalue problem” of bounded linear operators; and eigenvalues are replaced by singular values for self-adjoint positive definite linear operators.
creator: Charles K. Chui
source: https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2014/11/MA304- TopicsInAppliedMathematics-FINAL.pdf
publisher: The Saylor Foundation
date: 2013
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Prealgebra
subject: Prealgebra
description: Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
creator: LYNN MARECEK, MARYANNE ANTHONY-SMITH
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Prealgebra-OP_7D9i20P.pdf
publisher: OpenStax
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

Linear Regression Using R: An Introduction to Data Modeling
subject: Linear Regression, Data Modeling
description: Linear Regression Using R: An Introduction to Data Modeling presents one of the fundamental data modeling techniques in an informal tutorial style. Learn how to predict system outputs from measured data using a detailed step-by-step process to develop, train, and test reliable regression models. Key modeling and programming concepts are intuitively described using the R programming language. All of the necessary resources are freely available online.
creator: David R. Lilja
source: https://conservancy.umn.edu/bitstream/handle/11299/189222/LinearRegression_fulltext.pdf? sequence=5&isAllowed=y
publisher: University of Minnesota Libraries Publishing
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: textbook

Mathematics for Elementary Teachers
subject: Mathematics
description: This book will help you to understand elementary mathematics more deeply, gain facility with creating and using mathematical notation, develop a habit of looking for reasons and creating mathematical explanations, and become more comfortable exploring unfamiliar mathematical situations. The primary goal of this book is to help you learn to think like a mathematician in some very specific ways. You will: • Make sense of problems and persevere in solving them. You will develop and demonstrate this skill by working on difficult problems, making incremental progress, and revising solutions to problems as you learn more. . Reason abstractly and quantitatively. You will demonstrate this skill by learning to represent situations using mathematical notation (abstraction) as well as creating and testing examples (making situations more concrete).
creator: Michelle Manes
source: http://pressbooks-dev.oer.hawaii.edu/math111/
publisher: -
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: Digita PDF
language: English
type: Textbook

Adult Literacy Fundamentals Mathematics: Book 1
subject: Mathematics
description: This is book one in a six-book series on fundamental mathematics for adult learners. These books include glossaries, self tests, practice requests, grades records, and unit tests. Ancillary Resources include the Instructor's Manual.
creator: Wendy Tagami, Liz Girard
source: http://solr.bccampus.ca:8001/bcc/file/1eade072-4b30-4c2e-b3d8-cb2512765e8d/1/ALF%20Math%20Book%201%20PDF.pdf
publisher: Province of British Columbia Ministry of Advanced Education and Labour Market Development
date: 2010
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbook

An Introduction to Psychological Statistics
subject: Psychological Statistics
description: We are constantly bombarded by information, and finding a way to filter that information in an objective way is crucial to surviving this onslaught with your sanity intact. This is what statistics, and logic we use in it, enables us to do. Through the lens of statistics, we learn to find the signal hidden in the noise when it is there and to know when an apparent trend or pattern is really just randomness. The study of statistics involves math and relies upon calculations of numbers. But it also relies heavily on how the numbers are chosen and how the statistics are interpreted.
creator: Garett Foster, et al
source: https://irl.umsl.edu/cgi/viewcontent.cgi
publisher: University of Missouri - St. Louis
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

First Semester in Numerical Analysis with Julia
subject: Numerical Analysis
description: First Semester in Numerical Analysis with Julia presents the theory and methods, together with the implementation of the algorithms using the Julia programming language (version 1.1.0). The book covers computer arithmetic, root-finding, numerical quadrature and differentiation, and approximation theory. The reader is expected to have studied calculus and linear algebra. Some familiarity with a programming language is beneficial, but not required. The programming language Julia will be introduced in the book. The simplicity of Julia allows bypassing the pseudocode and writing a computer code directly after the description of a method while minimizing the distraction the presentation of a computer code might cause to the flow of the main narrative.
creator: Giray Ökten
source: http://fsu.digital.flvc.org/islandora/object/fsu%3A657877
publisher: Florida State University
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: Digital PDF
language: English
type: Textbooks

BUSINESS MATH: A Step-By-Step Handbook
subject: BUSINESS MATH
description: Business Mathematics was written to meet the needs of a twenty-first century student. It takes a systematic approach to helping students learn how to think and centers on a structured process termed the PUPP Model (Plan, Understand, Perform, and Present). This process is found throughout the text and in every guided example to help students develop a step-by-step problem-solving approach. This textbook simplifies and integrates annuity types and variable calculations, utilizes relevant algebraic symbols, and is integrated with the Texas Instruments BAII+ calculator. It also contains structured exercises, annotated and detailed formulas, and relevant personal and professional applications in discussion, guided examples, case studies, and even homework questions.
creator: J. Olivier
source: https://lila1.lyryx.com/textbooks/OLIVIER_1/marketing/Olivier-BusinessMath-2018B.pdf
publisher: https://lila1.lyryx.com
date: -
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Handbook

The Essence of Mathematics Through Elementary Problems
subject: Mathematics
description: The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.
creator: Alexandre Borovik, Tony Gardiner
source: https://www.openbookpublishers.com/10.11647/OBP.0168.pdf
publisher: Open Book Publishers
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Teaching Mathematics at Secondary Level
subject: Teaching Mathematics at Secondary Level
description: Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present. This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals.
creator: Tony Gardiner,
source: https://www.openbookpublishers.com/reader/340#page/1/mode/2up
publisher: Open Book Publishers
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: Ebooks
language: English
type: Textbooks

Geometry with an Introduction to Cosmic Topology
subject: Geometry, Cosmic Topology
description: Motivated by questions in cosmology, the open-content text Geometry with an Introduction to Cosmic Topology uses Mobius transformations to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe. The text, written for students who have taken vector calculus, also explores the interplay between the shape of a space and the type of geometry it admits. Geometry is suitable for a semester course in non-Euclidean geometry or as a guide to independent study, with over 200 exercises and several essays on topics including the history of geometry, parallax and curvature, and research aimed at determining the shape of the universe.
creator: Michael P. Hitchman,
source: https://mphitchman.com/geometry/GCT2018.pdf
publisher: Independent
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Tea Time Numerical Analysis
subject: Numerical Analysis
description: Numerical methods are designed to approximate one thing or another. Sometimes roots, sometimes derivatives or definite integrals, or curves, or solutions of differential equations. As numerical methods produce only approximations to these things, it is important to have some idea how accurate they are. Sometimes accuracy comes down to careful algebraic analysis—sometimes careful analysis of the calculus, and often careful analysis of Taylor polynomials. But before we can tackle those details, we should discuss just how error and, therefore, accuracy are measured. There are two basic measurements of accuracy: absolute error and relative error. Suppose that p is the value we are approximating, and p˜ is an approximation of p. Then p˜ misses the mark by exactly the quantity p˜− p, the so-called error. Of course, p˜ − p will be negative when p˜ misses low. That is, when the approximation p˜ is less than the exact value p. On the other hand, p˜ − p will be positive when p˜ misses high. But generally, we are not concerned with whether our approximation is too high or too low. We just want to know how far off it is. Thus, we most often talk about the absolute error, |p˜ − p|. You might recognize the expression |p˜ − p| as the distance between p˜ and p, and that’s not a bad way to think about absolute error.
creator: Leon Brin,
source: https://lqbrin.github.io/tea-time-numerical/index.html
publisher: Independent
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introduction to Financial Mathematics Concepts and Computational Methods
subject: Financial Mathematics Concepts, Computational Methods
description: Introduction to Financial Mathematics: Concepts and Computational Methods serves as a primer in financial mathematics with a focus on conceptual understanding of models and problem solving. It includes the mathematical background needed for risk management, such as probability theory, optimization, and the like. The goal of the book is to expose the reader to a wide range of basic problems, some of which emphasize analytic ability, some requiring programming techniques and others focusing on statistical data analysis. In addition, it covers some areas which are outside the scope of mainstream financial mathematics textbooks. For example, it presents marginal account setting by the CCP and systemic risk, and a brief overview of the model risk. Inline exercises and examples are included to help students prepare for exams on this book.
creator: Arash Fahim,
source: http://fsu.digital.flvc.org/islandora/object/fsu%3A684422
publisher: Florida State University
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Statistical Thinking for the 21st Century
subject: Statistical Thinking
description: Statistical thinking is a way of understanding a complex world by describing it in relatively simple terms that nonetheless capture essential aspects of its structure, and that also provide us some idea of how uncertain we are about our knowledge. The foundations of statistical thinking come primarily from mathematics and statistics, but also from computer science, psychology, and other fields of study. We can distinguish statistical thinking from other forms of thinking that are less likely to describe the world accurately. In particular, human intuition often tries to answer the same questions that we can answer using statistical thinking, but often gets the answer wrong. For example, in recent years most Americans have reported that they think that violent crime was worse compared to the previous year (Pew Research Center). However, a statistical analysis of the actual crime data shows that in fact violent crime has steadily decreased since the 1990’s. Intuition fails us because we rely upon best guesses (which psychologists refer to as heuristics) that can often get it wrong. For example, humans often judge the prevalence of some event (like violent crime) using an availability heuristic – that is, how easily can we think of an example of violent crime. For this reason, our judgments of increasing crime rates may be more reflective of increasing news coverage, in spite of an actual decrease in the rate of crime. Statistical thinking provides us with the tools to more accurately understand the world and overcome the fallibility of human intuition.
creator: Russell A. Poldrack
source: http://statsthinking21.org/StatsThinking21.pdf
publisher: Independent
date: 2018
contributor: baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

An Introduction to the Theory of Numbers
subject: Numbers
description: This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercises as well as unsolved problems) complete the text.
creator: Leo Moser
source: http://www.trillia.com/dA/moser-number-us-one.pdf
publisher: Independent
date: 2011
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introduction to Louis Michel’s lattice geometry through group action
subject: geometry
description: This chapter describes the outline of the book and explains the interrelations between different chapters and appendices. The specificity of this book is an intensive use of group action ideas and terminology when discussing physical and mathematical models of lattices. Another important aspect is the discussion and comparison of various approaches to the characterization of lattices. Along with symmetry and topology ideas, the combinatorial description based on Voronoï and Delone cells is discussed along with classical characterization of lattices via quadratic forms.
creator: B. Zhilinskii
source: https://www.edp-open.org/images/stories/books/fulldl/Introduction_to_Louis_Michels_lattice.pdf
publisher: EDP Sciences
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advanced Numerical Methods in Applied Sciences
subject: Numerical Methods
description: The generalized Schur algorithm (GSA) allows computing well-known matrix decompositions, such as QR and LU factorizations [1]. In particular, if the involved matrix is structured, i.e., Toeplitz, block-Toeplitz or Sylvester, the GSA computes the R factor of the QR factorization with complexity of one order of magnitude less than that of the classical QR algorithm [2], since it relies only on the knowledge of the so-called generators [2] associated to the given matrix, rather than on the knowledge of the matrix itself. The stability properties of the GSA are described in [3–5], where it is proven that the algorithm is weakly stable provided the involved hyperbolic rotations are performed in a stable way. In this manuscript, we ﬁrst show that, besides the efﬁciency properties, the GSA provides new theoretical insights on the bounds of the entries of the R factor of the QR factorization of some structured matrices
creator: Brugnano, Luigi, - Iavernaro, Felice
source: https://www.mdpi.com/books/pdfview/book/1360
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: Ebooks
language: English
type: Textbooks

Quantitative Problem Solving in Natural Resources
subject: Quantitative Problem Solving
description: This text is intended to support courses that bridge the divide between mathematics typically encountered in U.S. high school curricula and the practical problems that natural resource students might engage with in their disciplinary coursework and professional internships.
creator: Peter L. Moore,
source: https://lib.dr.iastate.edu/cgi/viewcontent.cgi
publisher: Iowa State University
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algorithms for Scheduling Problems
subject: Algorithms for Scheduling Problems
description: Optimal scheduling is an important area of operations research, as it has both theoretical and practical aspects. It is clear that efficient algorithms are most desirable for practical applications, since most real-world scheduling problems have large sizes but require fast decisions. Due to this, practitioners often prefer to use rather simple algorithms which provide schedules that may be far from optimal with respect to their quality. This book is based on a Special Issue entitled ”Algorithms for Scheduling Problems”. In the Call for Papers, we invited prospective authors to submit their latest research in the area of the development of scheduling algorithms.
creator: Frank Werner (Ed.)
source: https://www.mdpi.com/books/pdfview/book/722
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Finite Difference Computing with Exponential Decay Models
subject: Finite Difference Computing
description: Throughout industry and science it is common today to study nature or technological devices through models on a computer. With such models the computer acts as a virtual lab where experiments can be done in a fast, reliable, safe, and cheap way. In some fields, e.g., aerospace engineering, the computer models are now so sophisticated that they can replace physical experiments to a large extent
creator: Hans Petter Langtangen
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-29439-1.pdf
publisher: Spinnger
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Wearable Electronics and Embedded Computing Systems
subject: Embedded Computing Systems
description: The application of wearable electronics in the biomedical research and commercial fields has been gaining great interest over the last several decades. Small-sized, lightweight monitoring systems with low-power consumption and, of course, wearability allow for the collection of physiological and behavioral data in ecological scenarios (e.g., at home, during daily activities or sleep, during specific tasks, etc.) with a minimal discomfort for the end user [1]. As a result, outpatient-monitoring care can be associated with improved quality of life, especially for patients with chronic disease, possibly preventing unnecessary hospitalizations and reducing direct and indirect healthcare costs.
creator: Enzo Pasquale Scilingo -, Gaetano Valenza
source: https://www.mdpi.com/books/pdfview/book/287
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: Ebooks
language: English
type: Textbooks

Scaling of Differential Equations
subject: Differential Equations
description: Finding proper values of physical parameters in mathematical models is often quite a challenge. While many have gotten away with using just the mathematical symbols when doing science and engineering with pen and paper, the modern world of numerical computing requires each physical parameter to have a numerical value, otherwise one cannot get started with the computations. For example, in the simplest possible transient heat conduction simulation, a case re levant for a real physical material needs values for the heat capacity, the density, and the heat conduction coefficient of the material. In addition, relevant values must be chosen for initial and boundary temperatures as well as the size of the material.
creator: Hans Petter Langtangen -, Geir K. Pedersen
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-32726-6.pdf
publisher: Spingger
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosiński
subject: Theory and Applications
description: The subject of this chapter is fuzzy sets and the basic issues related to them. The first section discusses concepts of sets: classic and fuzzy, and presents various ways of describing fuzzy sets. The second section is dedicated to t-norms, s-norms, and other terms associated with fuzzy sets. Subsequent sections describe the extension principle, fuzzy relations and their compositions, cylindrical extension and projection of a fuzzy set. The sixth section discusses fuzzy numbers and basic arithmetic operations on them. Finally, the last section summarizes the chapter.
creator: Piotr Prokopowicz et, al
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-59614-3.pdf
publisher: Spingger
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Flood Forecasting Using Machine Learning Methods
subject: Machine Learning Methods
description: Flood disasters have had a great impact on city development. Early flood warning systems (EFWS) are promising countermeasures against flood hazards and losses. Machine learning (ML) is the kernel for building a satisfactory EFWS. This paper first summarizes the ML methods proposed in this special issue for flood forecasts and their significant advantages. Then, it develops an intelligent hydroinformatics integration platform (IHIP) to derive a user-friendly web interface system through the state-of-the-art machine learning, visualization and system developing techniques for improving online forecast capability and flood risk management. The holistic framework of the IHIP includes five layers (data access, data integration, servicer, functional subsystem, and end-user application) and one database for effectively dealing with flood disasters.
creator: Chang, Fi-John
source: https://www.mdpi.com/books/pdfview/book/1151
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Multivariable Calculus
subject: Calculus
description: This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible.
creator: Don Shimamoto, Swarthmore College
source: https://drive.google.com/drive/folders/1VBn7HiZBlvOVbMCcjL1Yh5AoJcB7gj-j
publisher: Swarthmore College
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Mathematical Modelling in Engineering & Human Behaviour 2018
subject: Mathematical
description: This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners.
creator: Jódar, Lucas, et al
source: https://www.mdpi.com/books/pdfview/book/1233
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algebra in Cuneiform: Introduction to an Old Babylonian Geometrical Technique
subject: Algebra
description: his textbook analyzes a number of texts in “conformal translation,” that is, a translation in which the same Babylonian term is always translated in the same way and, more importantly, in which different terms are always translated differently. Appendixes are provided for readers who are familiar with basic Assyriology but otherwise philological details are avoided. All of these texts are from the second half of the Old Babylonian period, that is, 1800–1600 BCE. It is indeed during this period that the “algebraic” discipline, and Babylonian mathematics in general, culminates.
creator: Jens Høyrup
source: http://edition-open-access.de/media/textbooks/2/textbooks2.pdf
publisher: Edition Open Access
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Early Algebra: Research into its Nature, its Learning, its Teaching
subject: Mathematics
description: This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student.
creator: Carolyn Kieran --- JeongSuk Pang --- Deborah Schifter --- Swee Fong Ng
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-32258-2.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Current and Future Perspectives of Ethnomathematics as a Program
subject: Mathematics --- Education
description: This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society
creator: Milton Rosa --- Ubiratan D’Ambrosio --- Daniel Clark Orey --- Lawrence Shirley --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-30120-4.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Early Algebra: Research into its Nature, its Learning, its Teaching
subject: Mathematics --- Education
description: This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student.
creator: Carolyn Kieran --- JeongSuk Pang --- Deborah Schifter --- Swee Fong Ng
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-32258-2.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Empirical Research in Statistics Education
subject: Statistics --- Education --- Mathematics
description: This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. It identifies and addresses six key research topics, namely: teachers’ knowledge; teachers’ role in statistics education; teacher preparation; students’ knowledge; students’ role in statistics education; and how students learn statistics with the help of technology. For each topic, the survey builds upon existing reviews, complementing them with the latest research.
creator: Andreas Eichler --- Lucía Zapata-Cardona
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-38968-4.pdf
publisher: Springger
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Uses of Technology in Upper Secondary Mathematics Education
subject: Education --- Mathematics
description: This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education. Research shows that the use of some technologies may deeply change the solving processes and contribute to impact the learning processes.
creator: Stephen Hegedus --- Colette Laborde --- Corey Brady --- Sara Dalton --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-42611-2.pdf
publisher: Springer
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Building the Foundation: Whole Numbers in the Primary Grades: The 23rd ICMI Study
subject: Education --- Mathematics
description: This twenty-third ICMI Study addresses for the first time mathematics teaching and learning in the primary school (and pre-school) setting, while also taking international perspectives, socio-cultural diversity and institutional constraints into account. One of the main challenges of designing the first ICMI primary school study of this kind is the complex nature of mathematics at the early level. Accordingly, a focus area that is central to the discussion was chosen, together with a number of related questions.
creator: Maria G. Bartolini Bussi --- Xuhua Sun
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-63555-2.pdf
publisher: Springer
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advances in Mechanical Problems of Functionally Graded Materials and Structures
subject: Mathematics
description: The book deals with novel aspects and perspectives in functionally graded materials (FGMs), which are advanced engineering materials designed for a specific performance or function with spatial gradation in structure and/or composition. The contributions mainly focus on numerical simulations of mechanical properties and the behavior of FGMs and FGM structures. Several advancements in numerical simulations that are particularly useful for investigations on FGMs have been proposed and demonstrated in this Special Issue.
creator: Bui, Tinh Quoc --- Lich, Le Van --- Yu, Tiantang --- Singh, Indra Vir
source: https://www.mdpi.com/books/pdfview/book/1750
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets
subject: Mathematics
description: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor .Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers.
creator: Smarandache, Florentin --- Zhang, Xiaohong --- Ali, Mumtaz
source: https://www.mdpi.com/books/pdfview/book/1204
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets ( 2 )
subject: Mathematics
description: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor .Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers.
creator: Smarandache, Florentin --- Zhang, Xiaohong --- Ali, Mumtaz
source: https://www.mdpi.com/books/pdfview/book/1205
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Applied Analysis of Ordinary Differential Equations
subject: Mathematics
description: One might say that ordinary differential equations (notably, in Isaac Newton’s analysis of the motion of celestial bodies) had a central role in the development of modern applied mathematics. This book is devoted to research articles which build upon this spirit: combining analysis with the applications of ordinary differential equations (ODEs). ODEs arise across a spectrum of applications in physics, engineering, geophysics, biology, chemistry, economics, etc., because the rules governing the time-variation of relevant fields is often naturally expressed in terms of relationships between rates of change.
creator: Balasuriya, Sanjeeva
source: https://www.mdpi.com/books/pdfview/book/1795
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Current Trends in Symmetric Polynomials with their Applications
subject: Mathematics
description: This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics. Each paper presents mathematical theories, methods, and their application based on current and recently developed symmetric polynomials. Also, each one aims to provide the full understanding of current research problems, theories, and applications on the chosen topics and includes the most recent advances made in the area of symmetric functions and polynomials.
creator: Kim, Taekyun
source: https://www.mdpi.com/books/pdfview/book/1708
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Differential Geometry
subject: Mathematics
description: The present book contains 14 papers published in the Special Issue “Differential Geometry” of the journal Mathematics. They represent a selection of the 30 submissions. This book covers a variety of both classical and modern topics in differential geometry. We mention properties of both rectifying and affine curves, the geometry of hypersurfaces, angles in Minkowski planes, Euclidean submanifolds, differential operators and harmonic forms on Riemannian manifolds, complex manifolds, contact manifolds (in particular, Sasakian and trans-Sasakian manifolds), curvature invariants, and statistical manifolds and their submanifolds (in particular, Hessian manifolds).
creator: Mihai, Ion
source: https://www.mdpi.com/books/pdfview/book/1834
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Dynamic risk management with Markov decision processes
subject: Mathematics
description: An important tool in risk management is the implementation of risk measures. We study dynamic models where risk measures and dynamic risk measures can be applied. In particular, we solve various portfolio optimization problems and introduce a class of dynamic risk measures via the notion of Markov decision processes. Using Bayesian control theory we furthermore derive an extension of the latter setting when we face model uncertainty.
creator: Mundt, André Philipp
source: https://www.ksp.kit.edu/9783866442009
publisher: KIT Scientific Publishing
date: 2008
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries
subject: Mathematics
description: This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.
creator: Ewa Swoboda --- Paola Vighi
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-44272-3.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fractional Calculus: Theory and Applications
subject: Mathematics
description: Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type. It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention. The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences.
creator: Francesco Mainardi (Ed.)
source: https://www.mdpi.com/books/pdfview/book/755
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fractional Differential Equations: Theory, Methods and Applications
subject: Mathematics
description: Fractional calculus provides the possibility of introducing integrals and derivatives of an arbitrary order in the mathematical modelling of physical processes, and it has become a relevant subject with applications to various fields, such as anomalous diffusion, propagation in different media, and propogation in relation to materials with different properties. However, many aspects from theoretical and practical points of view have still to be developed in relation to models based on fractional operators.
creator: Nieto, Juan J. --- Rodríguez-López, Rosana
source: https://www.mdpi.com/books/pdfview/book/1809
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fractional Order Systems
subject: Mathematics
description: This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena.
creator: Petráš, Ivo
source: https://www.mdpi.com/books/pdfview/book/1757
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fuzzy Mathematics
subject: Mathematics
description: This book provides a timely overview of topics in fuzzy mathematics. It lays the foundation for further research and applications in a broad range of areas. It contains break-through analysis on how results from the many variations and extensions of fuzzy set theory can be obtained from known results of traditional fuzzy set theory. The book contains not only theoretical results, but a wide range of applications in areas such as decision analysis, optimal allocation in possibilistics and mixed models, pattern classification, credibility measures, algorithms for modeling uncertain data, and numerical methods for solving fuzzy linear systems
creator: Etienne E. Kerre --- John Mordeson
source: https://www.mdpi.com/books/pdfview/book/1028
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fuzzy Techniques for Decision Making
subject: Mathematics
description: This book contains the successful invited submissions to a Special Issue of Symmetry in the subject area of “Fuzzy Techniques for Decision Making”. We invited contributions addressing novel techniques and tools for decision making (e.g., group or multi-criteria decision making) with notions that overcome the problem of finding the membership degree of each element as in Zadeh's original model. We could garner interesting articles on a variety of setups as well as applications.
creator: José Carlos R. Alcantud (Ed.)
source: https://www.mdpi.com/books/pdfview/book/624
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Geometric Regularization in Bioluminescence Tomography
subject: Mathematics
description: Bioluminescence tomography is a recent biomedical imaging technique which allows to study molecular and cellular activities in vivo. From a mathematical point of view, it is an ill-posed inverse source problem: the location and the intensity of a photon source inside an organism have to be determined, given the photon count on the organism's surface. To face the ill-posedness of this problem, a geometric regularization approach is introduced, analyzed and numerically verified in this book.
creator: Kreutzmann, Tim
source: https://www.ksp.kit.edu/9783731501428
publisher: KIT Scientific Publishing
date: 2014
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Geometry and topology of wild translation surfaces
subject: Mathematics
description: A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related
creator: Randecker, Anja
source: https://www.ksp.kit.edu/9783731504566
publisher: KIT Scientific Publishing
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Guided-Wave Optics
subject: Mathematics
description: The topic of guided wave (GW) propagation comprises a vast research area overlapping with photonics, matter waves in macroscopic quantum media (ultracold gases of bosonic and fermionic atoms, condensates of quasiparticles, such as excitons-polaritons, magnons, and cavity photons), hydrodynamics, acoustics, plasma physics, etc. In many situations, tightly confined GWs naturally acquire high amplitudes, which gives rise to a plenty of fascinating nonlinear effects. In particular, waveguides often provide a combination of nonlinearity, group-velocity dispersion, and low losses which is necessary for the creation of solitons (robust solitary waves).
creator: Boris Malomed (Ed.)
source: https://www.mdpi.com/books/pdfview/book/474
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Information Geometry
subject: Mathematics
description: This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry.
creator: Verdoolaege, Geert
source: https://www.mdpi.com/books/pdfview/book/1207
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Interdisciplinary Mathematics Education
subject: Mathematics
description: This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field’s relevant historical, conceptual and theoretical backgrounds, what “discipline” means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretical perspectives from Marx, Foucault and Vygotsky are explained, along with key ideas in theory, e.g. boundaries, discourses, identity, and the division of labour in practice.
creator: Julian Williams --- Wolff-Michael Roth --- David Swanson --- Brian Doig --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-42267-1.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

International Comparative Studies in Mathematics: Lessons for Improving Students’ Learning
subject: Mathematics
description: This open access book examines the cultural and educational factors that influence how successfully students learn mathematics; focuses on international comparative studies as a means of generating theories and improving students’ learning; and discusses four valuable lessons that can be learned from international comparative studies with regard to improving students’ learning.
creator: Jinfa Cai --- Ida A.C. Mok --- Vijay Reddy --- Kaye Stacey
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-42414-9.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Iterative Methods for Solving Nonlinear Equations and Systems
subject: Mathematics
description: Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics
creator: Torregrosa, Juan R. --- Cordero, Alicia --- Soleymani, Fazlollah
source: https://www.mdpi.com/books/pdfview/book/1877
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Mathematical Analysis and Applications
subject: Mathematics
description: Investigations involving the theory and applications of mathematical analytic tools and techniques are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in mathematical analysis and its multidisciplinary applications.
creator: Hari Mohan Srivastava (Ed.)
source: https://www.mdpi.com/books/pdfview/book/1085
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: Rnglish
type: Textbooks

Mathematical Modelling in Engineering & Human Behaviour 2018
subject: Mathematics
description: This book includes papers in cross-disciplinary applications of mathematical modelling: from medicine to linguistics, social problems, and more. Based on cutting-edge research, each chapter is focused on a different problem of modelling human behaviour or engineering problems at different levels. The reader would find this book to be a useful reference in identifying problems of interest in social, medicine and engineering sciences, and in developing mathematical models that could be used to successfully predict behaviours and obtain practical information for specialised practitioners.
creator: Jódar, Lucas --- Carlos Cortés, Juan --- Rodríguez, Luis Acedo
source: https://www.mdpi.com/books/pdfview/book/1233
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Cantributor
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The Mathematics Education of Prospective Secondary Teachers Around the World
subject: Mathematics
description: This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005–2015. It provides both an overview of the current state-of-the-art and outstanding recent research reports from an international perspective. The authors completed a thorough review of the literature by examining major journals in the field of mathematics education, and other journals related to teacher education and technology.
creator: Marilyn E. Strutchens --- Rongjin Huang --- Leticia Losano --- Despina Potari --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-38965-3.pdf
publisher: Springer
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Measurement and Control of Charged Particle Beams
subject: Mathematics
description: This advanced textbook and reference is the first comprehensive and systematic review of all methods used for the measurement, correction, and control of the beam dynamics of modern particle accelerators. Based on material presented in several lectures at the US Particle Accelerator School, the text is intended for graduate students starting research or work in the field of beam physics. Relativistic beams in linear accelerators and storage rings provide the focus. After a review of linear optics, the text addresses basic and advanced techniques for beam control, plus a variety of methods for the manipulation of particle-beam properties.
creator: Minty, Michiko --- Zimmermann, Frank
source: -
publisher: Springer
date: 2003
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Metasurfaces: Physics and Applications
subject: Mathematics
description: Metasurfaces, the two-dimensional analog of metamaterials, have attracted progressively increasing attention in recent years due to their planar configurations and, thus, ease of fabrication, while enabling an unprecedented control over optical fields. The phase, amplitude, polarization, helicity, and even angular momentum of the reflected or transmitted optical fields can be controlled at will by tailoring optically thin planar arrays of resonant subwavelength elements arranged in a periodic or aperiodic manner. As a result, numerous applications and fascinating devices have been realized by designed planar metasurfaces, including beam deflectors, wave plates, flat lenses, holograms, surface wave couplers, and freeform metasurfaces.
creator: Sergey I. Bozhevolnyi (Ed.) --- Patrice Genevet (Ed.) --- Fei Ding (Ed.)
source: https://www.mdpi.com/books/pdfview/book/862
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The method of densities for non-isotropic Boolean models
subject: Mathematics
description: This book deals with the Boolean model, a basic model of stochastic geometry for the description of porous structures like the pore space in sand stone. The main result is a formula which gives in two and three dimensions a series representation of the most important model parameter, the intensity, using densities of so-called harmonic intrinsic volumes, which are new observable geometric quantities.
creator: Hörrmann, Julia
source: https://www.ksp.kit.edu/9783731503293
publisher: KIT Scientific Publishing
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advances in Proof-Theoretic Semantics
subject: Mathematics --- Statistics --- Philosophy
description: This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory.
creator: Thomas Piecha --- Peter Schroeder-Heister
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-22686-6.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Neutrosophic Multi-Criteria Decision Making
subject: Mathematics --- Physics (General)
description: Neutrosophic logic and set are gaining significant attention in solving many real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. A number of new neutrosophic theories have been proposed and have been applied in Multi-Criteria Decision-Making, computational intelligence, multiple-attribute decision-making, image processing, medical diagnosis, fault diagnosis, optimization design, and so on. Neutrosophic logic, set, probability, statistics, etc., are, respectively, generalizations of fuzzy and intuitionistic fuzzy logic and set, classical and imprecise probability, classical statistics and so on.
creator: Florentin Smarandache (Ed.) --- Jun Ye (Ed.) --- Yanhui Guo (Ed.)
source: https://www.mdpi.com/books/pdfview/book/779
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

New Trends in Differential and Difference Equations and Applications
subject: Science (General) --- Mathematics
description: This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.
creator: Minhós, Feliz Manuel --- Fialho, João
source: https://www.mdpi.com/books/pdfview/book/732
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Problem Solving in Mathematics Education
subject: Mathematics Education
description: This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.
creator: Peter Liljedahl --- Manuel Santos-Trigo --- Uldarico Malaspina --- Regina Bruder
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-40730-2.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Progress in Mathematical Ecology
subject: Mathematics
description: Mathematical ecology is an area of applied mathematics concerned with the application of mathematical concepts, tools and techniques, usually in the form of mathematical models, to problems arising in population dynamics, ecology and evolution. This Special Issue is designed to provide a snapshot of the state of the art in mathematical ecology. Topics of interest are (in no particular order) biological invasions, biological control, ecological pattern formation, ecologically relevant multiscale models, food webs, individual movement and dispersal, eco-epidemiology, evolutionary ecology, agroecosystems, regime shifts and early warning signals, synchronization and chaos.
creator: Sergei Petrovskii (Ed.)
source: https://www.mdpi.com/books/pdfview/book/846
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Finite Difference Computing with Exponential Decay Models
subject: Mathematics
description: This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming
creator: Hans Petter Langtangen
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-29439-1.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Scaling of Differential Equations
subject: Mathematics
description: The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations.
creator: Hans Petter Langtangen --- Geir K. Pedersen
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-32726-6.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Social and Political Dimensions of Mathematics Education: Current Thinking
subject: Mathematics, Education
description: This book examines the current thinking on five critical social and political areas in mathematics education. It focuses on material conditions in teaching and learning, and details features of social life and their influence on mathematics teaching, learning and achievement. Following an introduction, the first section addresses equitable access and participation in quality mathematics education. It explores this issue in different contexts and from different ideological perspectives. The second section traces the emergence and development of the notion of activism in mathematics education in theory, in the literature, in research and in practice
creator: Murad Jurdak --- Renuka Vithal --- Elizabeth de Freitas --- Peter Gates --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-29655-5.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Stochastic Processes with Applications
subject: Science (General) --- Mathematics
description: Stochastic processes have wide relevance in mathematics both for theoretical aspects and for their numerous real-world applications in various domains. They represent a very active research field which is attracting the growing interest of scientists from a range of disciplines.This Special Issue aims to present a collection of current contributions concerning various topics related to stochastic processes and their applications.
creator: Di Crescenzo, Antonio --- Macci, Claudio --- Martinucci, Barbara
source: https://www.mdpi.com/books/pdfview/book/1855
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commona
format: PDF
language: Engliah
type: Textbooks

Stochastic Processes: Theory and Applications
subject: Mathematics
description: The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited to: Markov chains and processes; large deviations and limit theorems; random motions; stochastic biological model; reliability, availability, maintenance, inspection; queueing models; queueing network models; computational methods for stochastic models; applications to risk theory, insurance and mathematical finance.
creator: Zeifman, Alexander --- Korolev, Victor --- Sipin, Alexander
source: https://www.mdpi.com/books/pdfview/book/1892
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commona
format: PDF
language: English
type: Textbooks

Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks
subject: Mathematics
description: his Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph.
creator: Noja, Diego --- Pelinovsky, Dmitry
source: https://www.mdpi.com/books/pdfview/book/1763
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry in Graph Theory
subject: Mathematics
description: This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.
creator: Rodriguez, Jose M.
source: https://www.mdpi.com/books/pdfview/book/1168
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry in Vision
subject: Mathematics
description: Symmetry has a central role in the study of vision. The concept of symmetry has an ancient origin in considerations of visual appearance; in modern times, abstracted and formalized into Group Theory, it has found spectacular applications, far beyond the visible; but its importance for vision persists in many ways including: • As a non-accidental feature of an image that cues affordances, 3D structure or the semantic categories of object present. • As a redundant aspect of an image which many be exploited for simplicity and compactness of encoding.
creator: Marco Bertamini (Ed.) --- Lewis Griffin (Ed.)
source: https://www.mdpi.com/books/pdfview/book/356
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry Measures on Complex Networks
subject: Mathematics
description: Symmetry is found everywhere, to a greater or lesser degree. It is essential in all sciences and also as the basic substrate in all arts. The same happens with Complex Networks, which are the majority of all those that interest for advanced knowledge, that is, for research. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple in the world today.
creator: Angel Garrido (Ed.)
source: https://www.mdpi.com/books/pdfview/book/359
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry with Operator Theory and Equations
subject: Mathematics
description: A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures.
creator: Argyros, Ioannis
source: https://www.mdpi.com/books/pdfview/book/1729
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Transitions in Mathematics Education
subject: Mathematics
description: This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used.
creator: Ghislaine Gueudet --- Marianna Bosch --- Andrea A. diSessa --- Oh Nam Kwon --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-31622-2.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Turbulence: Numerical Analysis, Modelling and Simulation
subject: Mathematics
description: The problem of accurate and reliable simulation of turbulent flows is a central and intractable challenge that crosses disciplinary boundaries. As the needs for accuracy increase and the applications expand beyond flows where extensive data is available for calibration, the importance of a sound mathematical foundation that addresses the needs of practical computing increases. This Special Issue is directed at this crossroads of rigorous numerical analysis, the physics of turbulence and the practical needs of turbulent flow simulations.
creator: William Layton (Ed.)
source: https://www.mdpi.com/books/pdfview/book/606
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English, Middle (1100-1500)
type: Textbooks

Uses of Technology in Upper Secondary Mathematics Education
subject: Mathematics
description: This survey addresses the use of technology in upper secondary mathematics education from four points of view: theoretical analysis of epistemological and cognitive aspects of activity in new technology mediated learning environments, the changes brought by technology in the interactions between environment, students and teachers, the interrelations between mathematical activities and technology, skills and competencies that must be developed in teacher education.
creator: Stephen Hegedus --- Colette Laborde --- Corey Brady --- Sara Dalton --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-42611-2.pdf
publisher: Springer
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Wearable Electronics and Embedded Computing Systems
subject: Mathematics
description: Wearable electronics and embedded computing systems have been receiving a great deal of interest over the last two decades in research and commercial fields, with a special focus on biomedical applications. The key benefits introduced by these systems include their small size, lightweight, low-power consumption, and, of course, wearability. Major human-centered applications are related to medicine, enabling outpatient care and enhancing the quality of life for chronic disease patients, maybe preventing unnecessary hospitalization.
creator: Enzo Pasquale Scilingo --- Gaetano Valenza
source: https://www.mdpi.com/books/pdfview/book/287
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advances in Discrete Differential Geometry
subject: Mathematics
description: This is one of the first books on a newly emerging field of discrete differential geometry and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics. The authors take a closer look at discrete models in differential geometry and dynamical systems. Their curves are polygonal, surfaces are made from triangles and quadrilaterals, and time is discrete. Nevertheless, the difference between the corresponding smooth curves, surfaces and classical dynamical systems with continuous time can hardly be seen
creator: Alexander I. Bobenko
source: https://link.springer.com/content/pdf/10.1007%2F978-3-662-50447-5.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The Philosophy of Mathematics Education
subject: Mathematics
description: This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country.
creator: Paul Ernest --- Ole Skovsmose --- Jean Paul van Bendegem --- Maria Bicudo --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-40569-8.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Projection-Based Clustering through Self-Organization and Swarm Intelligence: Combining Cluster Analysis with the Visualization of High-Dimensional Data
subject: Mathematics
description: This book covers aspects of unsupervised machine learning used for knowledge discovery in data science and introduces a data-driven approach to cluster analysis, the Databionic swarm (DBS). DBS consists of the 3D landscape visualization and clustering of data. The 3D landscape enables 3D printing of high-dimensional data structures.The clustering and number of clusters or an absence of cluster structure are verified by the 3D landscape at a glance.
creator: Michael Christoph Thrun
source: https://link.springer.com/content/pdf/10.1007%2F978-3-658-20540-9.pdf
publisher: Springer
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Semiotics in Mathematics Education
subject: Mathematics
description: This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners.
creator: Norma Presmeg --- Luis Radford --- Wolff-Michael Roth --- Gert Kadunz
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-31370-2.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Social and Political Dimensions of Mathematics Education: Current Thinking
subject: Mathematics --- Education
description: This book examines the current thinking on five critical social and political areas in mathematics education. It focuses on material conditions in teaching and learning, and details features of social life and their influence on mathematics teaching, learning and achievement. Following an introduction, the first section addresses equitable access and participation in quality mathematics education. It explores this issue in different contexts and from different ideological perspectives. The second section traces the emergence and development of the notion of activism in mathematics education in theory, in the literature, in research and in practice.
creator: Murad Jurdak --- Renuka Vithal --- Elizabeth de Freitas --- Peter Gates --- et al.
source: https://link.springer.com/content/pdf/10.1007%2F978-3-319-29655-5.pdf
publisher: Springer
date: 2016
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advanced Numerical Methods in Applied Sciences
subject: Mathematics
description: The use of scientific computing tools is currently customary for solving problems at several complexity levels in Applied Sciences. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and better performing numerical methods that are able to grasp the particular features of the problem at hand. This has been the case for many different settings of numerical analysis, and this Special Issue aims at covering some important developments in various areas of application.
creator: Brugnano, Luigi --- Iavernaro, Felice
source: https://www.mdpi.com/books/pdfview/book/1360
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advances in Food Analysis
subject: Mathematics
description: This Topical Collection of Molecules provides the most recent advancements and trends within the framework of food analysis, confirming the growing public, academic, and industrial interest in this field. The articles broach topics related to sample preparation, separation science, spectroscopic techniques, sensors and biosensors, as well as investigations dealing with the characterization of macronutrients, micronutrients, and other biomolecules. It offers the latest updates regarding alternative food sources (e.g., algae), functional foods, effects of processing, chiral or achiral bioactive compounds, contaminants, and every topic related to food science that is appealing to readers.
creator: Gentili, Alessandra --- Fanali, Chiara
source: https://www.mdpi.com/books/pdfview/book/1786
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Discrete Time Analysis of Consolidated Transport Processes
subject: Mathematics
description: The objective of this work is to develop models for the analysis of consolidated transport processes. With the discrete time queuing models developed for inventory and vehicle consolidation, in particular milkrun systems, a detailed performance evaluation of different design scenarios can be conducted faster than with simulation. Moreover, it is demonstrated how the models can be connected with each other in form of a network analysis, in order to analyze hub-and-spoke networks.
creator: -
source: https://www.ksp.kit.edu/9783866448018
publisher: KIT Scientific Publishing
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Intermittency and Self-Organisation in Turbulence and Statistical Mechanics
subject: Mathematics
description: There is overwhelming evidence, from laboratory experiments, observations, and computational studies, that coherent structures can cause intermittent transport, dramatically enhancing transport. A proper description of this intermittent phenomenon, however, is extremely difficult, requiring a new non-perturbative theory, such as statistical description. Furthermore, multi-scale interactions are responsible for inevitably complex dynamics in strongly non-equilibrium systems
creator: Kim, Eun-jin
source: https://www.mdpi.com/books/pdfview/book/1457
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models
subject: Mathematics
description: Since the end of the 19th century when the prominent Norwegian mathematician Sophus Lie created the theory of Lie algebras and Lie groups and developed the method of their applications for solving differential equations, his theory and method have continuously been the research focus of many well-known mathematicians and physicists. This book is devoted to recent development in Lie theory and its applications for solving physically and biologically motivated equations and models.
creator: Roman M. Cherniha (Ed.)
source: https://www.mdpi.com/books/pdfview/book/369
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2017
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Neutrosophic Multi-Criteria Decision Making
subject: Mathematics
description: Neutrosophic logic and set are gaining significant attention in solving many real-life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. A number of new neutrosophic theories have been proposed and have been applied in Multi-Criteria Decision-Making, computational intelligence, multiple-attribute decision-making, image processing, medical diagnosis, fault diagnosis, optimization design, and so on. Neutrosophic logic, set, probability, statistics, etc., are, respectively, generalizations of fuzzy and intuitionistic fuzzy logic and set, classical and imprecise probability, classical statistics and so on.
creator: Florentin Smarandache (Ed.) --- Jun Ye (Ed.) --- Yanhui Guo (Ed.)
source: https://www.mdpi.com/books/pdfview/book/779
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

New Trends in Differential and Difference Equations and Applications
subject: Mathematics
description: This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of techniques used in these different areas and to emphasize their applicability to real-life phenomena, by the inclusion of examples. These examples not only clarify the theoretical results presented, but also provide insight on how to apply, for future works, the techniques used.
creator: Minhós, Feliz Manuel --- Fialho, João
source: https://www.mdpi.com/books/pdfview/book/1696
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Polyhedral Structures, Symmetry, and Applications
subject: Mathematics
description: Symmetry is an intriguing phenomenon manifesting itself in art, nature, and the mind. This Special Issue book features 19 articles about discrete geometric and combinatorial polyhedral structures, with symmetry as the unifying theme. These articles present an attractive mix of topics and have appeared in two related Special Issues of Symmetry, on "Polyhedra" in 2012/2013 and on "Polyhedral Structures" in 2016/2017.
creator: Egon Schulte (Ed.)
source: https://www.mdpi.com/books/pdfview/book/533
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Stochastic Processes: Theory and Applications
subject: Mathematics --- Statistics
description: The aim of this special issue is to publish original research papers that cover recent advances in the theory and application of stochastic processes. There is especial focus on applications of stochastic processes as models of dynamic phenomena in various research areas, such as queuing theory, physics, biology, economics, medicine, reliability theory, and financial mathematics. Potential topics include, but are not limited
creator: Zeifman, Alexander --- Korolev, Victor --- Sipin, Alexander
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry in Graph Theory
subject: Mathematics
description: This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices.
creator: Rodriguez, Jose M.
source: https://www.mdpi.com/books/pdfview/book/1168
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Turbulence: Numerical Analysis, Modelling and Simulation
subject: Mathematics
description: The problem of accurate and reliable simulation of turbulent flows is a central and intractable challenge that crosses disciplinary boundaries. As the needs for accuracy increase and the applications expand beyond flows where extensive data is available for calibration, the importance of a sound mathematical foundation that addresses the needs of practical computing increases. This Special Issue is directed at this crossroads of rigorous numerical analysis, the physics of turbulence and the practical needs of turbulent flow simulations.
creator: William Layton (Ed.)
source: https://www.mdpi.com/books/pdfview/book/606
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2018
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Transition to Higher Mathematics: Structure and Proof - Second Edition
subject: Mathematics
description: This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.
creator: Bob A Dumas, John E McCarthy
source: https://openscholarship.wustl.edu/cgi/viewcontent.cgi
publisher: Open Scholarship
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Transition to Higher Mathematics: Structure and Proof - Second Edition
subject: Mathematics
description: This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers.
creator: Bob A Dumas, John E McCarthy
source: https://openscholarship.wustl.edu/cgi/viewcontent.cgi
publisher: Open Scholarship
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Statistics Hight School
subject: Statistics
description: This Statistics resource was developed under the guidance and support of experienced high school teachers and subject matter experts. It is presented here in multiple formats: PDF, online, and low-cost print. Statistics offers instruction in grade-level appropriate concepts and skills in a logical, engaging progression that begins with sampling and data and covers topics such as probability, random variables, the normal distribution, and hypothesis testing. This content was developed with students in mind, incorporating statistics labs, worked exercises, and additional opportunities for assessment that incorporate real-world statistical applications. For instructors, resources are available to support the implementation of the Statistics textbook, including a Getting Started Guide, direct instruction presentations, and a solutions manual.
creator: BARBARA ILLOWSKY, SUSAN DEAN
source: https://d3bxy9euw4e147.cloudfront.net/oscms-prodcms/media/documents/Statistics-WEB.pdf
publisher: OpenStax
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Austenitic TRIP/TWIP Steels and Steel-Zirconia Composites
subject: Mathematics
description: This open access book presents a collection of the most up-to-date research results in the field of steel development with a focus on pioneering alloy concepts that result in previously unattainable materials properties. Specifically, it gives a detailed overview of the marriage of high-performance steels of the highest strength and form-ability with damage-tolerant zirconia ceramics by innovative manufacturing technologies, thereby yielding a new class of high-performance composite materials.
creator: Biermann, Horst --- Aneziris, Christos G.
source: -
publisher: Springer Nature
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Optimal, Integral, Likely Optimization, Integral Calculus, and Probability for Students of Commerce and the Social Sciences
subject: Mathematical
description: Optimal, Integral, Likely is a free, open-source textbook intended for UBC’s course MATH 105: Integral Calculus with Applications to Commerce and Social Sciences. It is shared under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
creator: Bruno Belevan, et al
source: https://nisha-malhotra.arts.ubc.ca/open-textbook/
publisher: Bruno Belevan, Parham Hamidi, Nisha Malhotra, and Elyse Yeager
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Informal Calculus with Applications to Biological and Environmental Sciences
subject: Calculus
description: This book is an approachable introduction to calculus with applications to biology and environmental science. For example, one application in the book is determining the volume of earth moved in the 1959 earthquake that created Quake Lake. Another application uses differential equations to model various biological examples, including moose and wolf populations at Isle Royale National Park, ranavirus in amphibians, and competing species of protozoa. The text focuses on intuitive understanding of concepts, but still covers most of the algebra and calculations common in a survey of calculus course.
creator: Tyler Seacrest, et al
source: https://oer.pressbooks.pub/informalcalculus/
publisher: TRAILS
date: 2021
contributor: Baihaqi
rights: Creative Commons
format: Digital PDF
language: English
type: Textbooks

Mostly Harmless Statistics
subject: Statistics
description: This text is for an introductory level probability and statistics course with an intermediate algebra prerequisite. The focus of the text follows the American Statistical Association’s Guidelines for Assessment and Instruction in Statistics Education (GAISE).
creator: Rachel L. Webb
source: https://8d4ad260-7393-42a4-9935-ab217e603c5b.filesusr.com/ugd/1d6b19_f9c57bc4ca9c44428f68be641c47ef82.pdf
publisher: Portland State University Library
date: 2021
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Technical Mathematics
subject: Mathematics
description: This developmental-level mathematics textbook is intended for career-technical students. It was made possible by a grant from Open Oregon Educational Resources, which supports the development and implementation of high-quality materials at low or no cost to community college and university students. I hope that this qualifies as a “high quality” textbook, and I hope that it brings a bit of fun to what can often be a boring or intimidating subject. Whether you are a student or instructor, I would love to hear your thoughts on the book and whether it works well for you. Feel free to let me know about any errors you find or suggestions for improvements.
creator: Morgan Chase
source: https://openoregon.pressbooks.pub/techmath/front-matter/introduction/
publisher: Open Oregon Educational Resources
date: 2021
contributor: Baihaqi
rights: Creative Commons
format: Digital PDf
language: English
type: Textbooks

Elementary Calculus
subject: Calculus
description: This textbook covers calculus of a single variable, suitable for a year-long (or two-semester) course. Chapters 1-5 cover Calculus I, while Chapters 6-9 cover Calculus II. The book is designed for students who have completed courses in high-school algebra, geometry, and trigonometry. Though designed for college students, it could also be used in high schools. The traditional topics are covered, but the old idea of an infinitesimal is resurrected, owing to its usefulness (especially in the sciences).
creator: Michael Corral
source: http://www.mecmath.net/calculus/ElementaryCalculus.pdf
publisher: Michael Corral,
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introduction to Statistical Thinking
subject: Statistical
description: The target audience for this book is college students who are required to learn statistics, students with little background in mathematics and often no motivation to learn more. It is assumed that the students do have basic skills in using computers and have access to one. Moreover, it is assumed that the students are willing to actively follow the discussion in the text, to practice, and more importantly, to think.
creator: Benjamin Yakir
source: https://eleuven.github.io/statthink/statthink.pdf
publisher: Benjamin Yakir
date: 2010
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Mathematics Methods for Early Childhood
subject: Mathematics historians
description: Welcome to Early Childhood Mathematics! This course satisfies the Early Childhood Unified requirements in the state of Kansas for a teaching license Birth to Grade 3. Most people agree that early childhood includes the period from infancy until eight years of age, characterized by rapid and complex growth in physical, cognitive, and social domains. Math skills must be taught in early childhood. Children should be provided a foundation to succeed in elementary school and beyond. Teachers should focus lessons in early childhood around the basic skills that will help to advance future mathematics. From preschool to the end of elementary school, children are setting the foundation for future life skills.
creator: Janet Stramel
source: https://fhsu.pressbooks.pub/ecumath
publisher: Fort Hays State University
date: 2021
contributor: Baihaqi
rights: Creative Commons
format: Digital PDF
language: English
type: Textbooks

Boundary Value Problems, Weyl Functions, and Differential Operators
subject: Differential Operators
description: This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map.
creator: Behrndt, Jussi , Hassi, Seppo, de Snoo, Henk
source: https://library.oapen.org/bitstream/20.500.12657/23102/1/1007056.pdf
publisher: Springer Nature
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Values and Valuing in Mathematics Education
subject: Mathematics
description: This engaging open access book discusses how a values and valuing perspective can facilitate a more effective mathematics pedagogical experience, and allows readers to explore multiple applications of the values perspective across different education systems. It also clearly shows that teaching mathematics involves not only reasoning and feelings, but also students’ interactions with their cultural setting and each other. The book brings together the work of world leaders and new thinkers in mathematics educational research to improve the learning and teaching of mathematics.
creator: Clarkson, Philip (editor), Seah, Wee Tiong (editor), Pang, JeongSuk (editor)
source: https://library.oapen.org/bitstream/20.500.12657/23015/1/1007146.pdf
publisher: Springer nature
date: 2019
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

International Symposium on Mathematics, Quantum Theory, and Cryptography
subject: Mathematics
description: This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model.
creator: Takagi, Tsuyoshi (editor), Wakayama, Masato (editor), Tanaka, Keisuke (editor)
source: https://library.oapen.org/bitstream/20.500.12657/46834/1/2021_Book_InternationalSymposiumOnMathem.pdf
publisher: Springer Nature
date: 2021
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Matching minors in bipartite graphs
subject: Algorithms & data structures
description: In this thesis we adapt fundamental parts of the Graph Minors series of Robertson and Seymour for the study of matching minors and investigate a connection to the study of directed graphs. We develope matching theoretic to established results of graph minor theory: We characterise the existence of a cross over a conformal cycle by means of a topological property. Furthermore, we develope a theory for perfect matching width, a width parameter for graphs with perfect matchings introduced by Norin.
creator: Wiederrecht, Sebastian
source: https://library.oapen.org/bitstream/handle/20.500.12657/57270/wiederrecht_sebastian.pdf
publisher: Springer Nature
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Sublinear Computation Paradigm
subject: Numerical analysis--Computer programs
description: This open access book gives an overview of cutting-edge work on a new paradigm called the “sublinear computation paradigm,” which was proposed in the large multiyear academic research project “Foundations of Innovative Algorithms for Big Data.” That project ran from October 2014 to March 2020, in Japan. To handle the unprecedented explosion of big data sets in research, industry, and other areas of society, there is an urgent need to develop novel methods and approaches for big data analysis. To meet this need, innovative changes in algorithm theory for big data are being pursued. For example, polynomial-time algorithms have thus far been regarded as “fast,” but if a quadratic-time algorithm is applied to a petabyte-scale or larger big data set, problems are encountered in terms of computational resources or running time.
creator: Katoh, Naoki (editor), Higashikawa, Yuya (editor), Ito, Hiro (editor), et al.
source: https://library.oapen.org/bitstream/20.500.12657/51501/1/9789811640957.pdf
publisher: Springer nature
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The Application of Ant Colony Optimization
subject: Algorithms & data structures
description: The application of advanced analytics in science and technology is rapidly expanding, and developing optimization technics is critical to this expansion. Instead of relying on dated procedures, researchers can reap greater rewards by utilizing cutting-edge optimization techniques like population-based metaheuristic models, which can quickly generate a solution with acceptable quality. Ant Colony Optimization (ACO) is one the most critical and widely used models among heuristics and meta-heuristics. This book discusses ACO applications in Hybrid Electric Vehicles (HEVs), multi-robot systems, wireless multi-hop networks, and preventive, predictive maintenance.
creator: Soofastaei, Ali (editor)
source: https://mts.intechopen.com/storage/books/10400/authors_book/authors_book.pdf
publisher: Springer nature
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Control Problems for Conservation Laws with Traffic Applications
subject: Calculus & mathematical analysis
description: Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered.
creator: Bayen, Alexandre, Delle Monache, Maria Laura , Garavello, Mauro., et al.
source: https://library.oapen.org/bitstream/20.500.12657/54425/1/978-3-030-93015-8.pdf
publisher: Springer Nature
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advanced Algebra v. 1.0
subject: Algebra
description: Intermediate Algebra is the second part of a two-part course in Algebra. Written in a clear and concise manner, it carefully builds on the basics learned in Elementary Algebra and introduces the more advanced topics required for further study of applications found in most disciplines. Used as a standalone textbook, it offers plenty of review as well as something new to engage the student in each chapter. Written as a blend of the traditional and graphical approaches to the subject, this textbook introduces functions early and stresses the geometry behind the algebra
creator: John Redden
source: https://2012books.lardbucket.org/pdfs/advanced-algebra.pdf
publisher: Visalia, CA
date: 2012
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Calculus in Context - 2008 Edition
subject: Calculus
description: We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course.
creator: James Callahan, Northampton, Massachusetts David Cox, Amherst, Massachusetts Kenneth Hoffman, Amherst, Massachusetts
source: https://scholarworks.smith.edu/cgi/viewcontent.cgi
publisher: Smith College Open Educational Resources: Textbooks
date: 1994
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introduction to Arithmetic Groups
subject: Arithmetic
description: -
creator: Dave Witte Morris
source: https://arxiv.org/src/math/0106063v6/anc/IntroArithGrps-FINAL.pdf
publisher: Deductive Press
date: 2015
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algorithms for Sparse Linear Systems
subject: Numerical analysis
description: Large sparse linear systems of equations are ubiquitous in science, engineering and beyond. This open access monograph focuses on factorization algorithms for solving such systems. It presents classical techniques for complete factorizations that are used in sparse direct methods and discusses the computation of approximate direct and inverse factorizations that are key to constructing general-purpose algebraic preconditioners for iterative solvers. A unified framework is used that emphasizes the underlying sparsity structures and highlights the importance of understanding sparse direct methods when developing algebraic preconditioners. Theoretical results are complemented by sparse matrix algorithm outlines.
creator: Scott, Jennifer,. Tůma, Miroslav
source: https://library.oapen.org/bitstream/handle/20.500.12657/62987/978-3-031-25820-6.pdf
publisher: Springer Nature
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Analysis of Reaction-Diffusion Models with the Taxis Mechanism
subject: Mathematics
description: This open access book deals with a rich variety of taxis-type cross-diffusive equations. Particularly, it intends to show the key role played by quasi-energy inequality in the derivation of some necessary a priori estimates. This book addresses applied mathematics and all researchers interested in mathematical development of reaction-diffusion theory and its application and can be a basis for a graduate course in applied mathematics.
creator: Ke, Yuanyuan, Li, Jing ,Wang, Yifu
source: https://directory.doabooks.org/handle/20.500.12854/92314
publisher: Springer nature
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introducing Mathematical Biology
subject: Mathematical
description: Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material.
creator: Alex Best
source: https://sheffield.pressbooks.pub/introducingmathematicalbiology/
publisher: The University of Sheffield Pressbooks Network
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

An Invitation to Statistics in Wasserstein Space
subject: Probability & statistics
description: This open access book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures when endowed with the geometry of optimal transportation. Further to reviewing state-of-the-art aspects, it also provides an accessible introduction to the fundamentals of this current topic, as well as an overview that will serve as an invitation and catalyst for further research. Statistics in Wasserstein spaces represents an emerging topic in mathematical statistics, situated at the interface between functional data analysis (where the data are functions, thus lying in infinite dimensional Hilbert space) and non-Euclidean statistics (where the data satisfy nonlinear constraints, thus lying on non-Euclidean manifolds).
creator: Panaretos, Victor M. Zemel, Yoav
source: https://library.oapen.org/bitstream/handle/20.500.12657/37704/2020_Book_AnInvitationToStatisticsInWass.pdf
publisher: Springer Nature
date: 2020
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Numerical Methods in Scientific Computing
subject: Numerical Methods
description: This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand
creator: Jos van Kan, Guus Segal, Fred Vermolen
source: https://textbooks.open.tudelft.nl/textbooks/catalog/view/70/169/438
publisher: TU Delft Open
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
type: Textbooks

Classical Numerical Methods in Scientific Computing
subject: Numerical Methods
description: Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the book entails the description of classical numerical methods that are used to approximate the solution of partial differential equations.
creator: Jos van Kan, Guus Segal, Fred Vermolen
source: https://textbooks.open.tudelft.nl/textbooks/catalog/view/67/164/432
publisher: TU Delft Open
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Introduction to Probability
subject: Probability
description: This is an introduction to probability theory, designed for self-study. It covers the same topics as the one-semester introductory courses which I taught at the University of Minnesota, with some extra discussion for reading on your own. The reasons which underlie the rules of probability are emphasized. Probability theory is certainly useful. But how does it feel to study it? Well, like other areas of mathematics, probability theory contains elegant concepts, and it gives you a chance to exercise your ingenuity, which is often fun. But in addition, randomness and probability are part of our experience in the real world, present everywhere and yet still somewhat mysterious.
creator: Baxter
source: https://www-users.cse.umn.edu/~baxter/IntroductionToProbability_2023_10_07.pdf
publisher: John R. Baxter
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: TExtbooks

Counting Rocks! An Introduction to Combinatorics
subject: Combinatorics
description: This textbook, Counting Rocks!, is the written component of an interactive introduction to combinatorics at the undergradaute level. Throughout the text, we link to videos where we describe the material and provide examples; see the Youtube playlist on the Colorado State University (CSU) Mathematics YouTube channel. The major topics in this text are counting problems (Chapters 1-4), proof techniques (Chapter 5), recurrence relations and generating functions (Chapters 6-7), and graph theory (Chapters 8-12). The material and the problems we include are standard for an undergraduate combinatorics course. In this text, one of our goals was to describe the mathematical structures underlying problems in combinatorics.
creator: Henry Adams,et all
source: https://open.umn.edu/opentextbooks/textbooks/counting-rocks-an-introduction-to-combinatorics
publisher: Henry Adams, Rachel Pries, and Maria Gillespie
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Data Analysis in the Psychological Sciences: A Practical, Applied, Multimedia Approach
subject: Data Analysis
description: This open resources textbook contains 10 Units that describe and explain the main concepts in statistical analysis of psychological data. In addition to conceptual descriptions and explanations of the basic analyses for descriptive statistics, this textbook also explains how to conduct those analyses with common statistical software (Excel) and open-source free software (R).
creator: Leyre Castro, Toby Mordkoff
source: -
publisher: University of Iowa Libraries
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Mathematics for Biomedical Physics
subject: Mathematics
description: Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and medicine
creator: Jogindra M Wadehra
source: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi
publisher: Wayne State University Library System
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Big Data for Epidemiology: Applied Data Analysis Using National Health Surveys
subject: Data Analysis
description: National data sets provide an avenue for students to practice data analytic skills while also answering meaningful research questions. This open education resource was developed to train future public health professionals how to conduct secondary data analysis of national health surveys using SAS statistical software. SAS software was selected because it is one of the most commonly used software programs used among public health departments and academia.
creator: Kindratt
source: https://open.umn.edu/opentextbooks/textbooks/big-data-for-epidemiology-applied-data-analysis-using-national-health-surveys
publisher: Mavs Open Press
date: 2022
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advanced Mathematical Science for Mobility Society
subject: Mathematics in art
description: This open access book presents the mathematical methods for huge data and network analysis. The automotive industry has made steady progress in technological innovations under the names of Connected Autonomous-Shared-Electric (CASE) and Mobility as a Service (MaaS). Needless to say, mathematics and informatics are important to support such innovations. As the concept of cars and movement itself is diversifying, they are indispensable for grasping the essence of the future mobility society and building the foundation for the next generation. Based on this idea, Research unit named "Advanced Mathematical Science for Mobility Society" was established at Kyoto University as a base for envisioning a future mobility society in collaboration with researchers led by Toyota Motor Corporation and Kyoto University. This book contains three main contents. 1. Mathematical models of flow 2. Mathematical methodsfor huge data and network analysis 3. Algorithm for mobility society The first one discusses mathematical models of pedestrian and traffic flow, as they are important for preventing accidents and achieving efficient transportation.
creator: Ikeda, Kazushi (editor)
source: https://library.oapen.org/bitstream/handle/20.500.12657/90475/978-981-99-9772-5.pdf
publisher: Springer Nature
date: 2024
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Adjustment theory: an introduction
subject: Mathematics
description: Adjustment theory can be regarded as the part of mathematical geodesy that deals with the optimal combination of redundant measurements together with the estimation of unknown parameters. It is essential for a geodesist, its meaning comparable to what mechanics means to a civil engineer or a mechanical engineer. Historically, the first methods of combining redundant measurements originate from the study of three problems in geodesy and astronomy, namely to determine the size and shape of the Earth, to explain the long-term inequality in the motions of Jupiter and Saturn, and to find a mathematical representation of the motions of the Moon. Nowadays, the methods of adjustment are used for a much greater variety of geodetic applications, ranging from, for instance, surveying and navigation to remote sensing and global positioning.
creator: Peter J.G. Teunissen,
source: https://textbooks.open.tudelft.nl/textbooks/catalog/view/95/215/485
publisher: TU Delft Open
date: 2024
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

From theORy to application: learning to optimize with Operations Research in an interactive way
subject: Mathematics
description: This book serves as a comprehensive roadmap for navigating the realm of Operations Research (OR). From laying down fundamental mathematical principles to crafting precise modeling techniques and their solution methods, it culminates in a panoramic view of OR models mirroring real-world operations. Delving into diverse applications-from assignment problems to network problems like graph coloring and minimum spanning trees, and navigating through routing problems that are very common in logistics-the book equips readers with practical insights. Each model is accompanied by meticulously detailed examples, seamlessly integrated with hyperlinked codes accessible via an open repository. Moreover, it introduces an engaging dimension with hyperlinks to three serious games replicating some cornerstone OR models, offering a playful yet educational environment for solo or group experimentation.
creator: Alessandro Bombelli, et al
source: https://textbooks.open.tudelft.nl/textbooks/catalog/download/94/212/471
publisher: TU Delft Open
date: 2024
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The Data Renaissance: Analyzing the Disciplinary Effects of Big Data, Artificial Intelligence, and Beyond
subject: Data Renaissance
description: The Data Renaissance delves into the complexities of data's role in various industries and its broader impact on society. It highlights the challenges in investigating data practices, citing examples like TikTok, where algorithms and data handling are closely guarded secrets. The content, contributed by students under the guidance of an expert, covers a wide range of topics, including the ethical aspects of generative AI in education and the workplace, and case studies reflecting real-world experiences. This evolving text, intended to be updated with each class, serves as a dynamic resource for educators and students alike, offering insights and discussion guides for an in-depth understanding of the ever-changing landscape of data in our digital age.
creator: J.J. Sylvia IV
source: https://rotel.pressbooks.pub/datarenaissance/
publisher: ROTEL
date: 2024
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advances in Plant Reproductive Ecology and Conservation Biology
subject: Mathematics Biology
description: New advances and research in plant reproductive ecology continue to provide key insights into common and rare plant species. Similarly, the emerging technologies, techniques, and tools in data collection and analyses continue to advance the fields of plant conservation biology and plant reproductive ecology, allowing for discoveries and interpretations that were not feasible at the beginning of the century.
creator: Brenda Molano-Flores (editor) James Cohen (editor)
source: https://mdpi-res.com/bookfiles/book/9764/Advances_in_Plant_Reproductive_Ecology_and_Conservation_Biology.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Linear Algebra Done Right - Fourth Edition
subject: Linear Algebra
description: Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added.
creator: Sheldon Axler
source: https://link.springer.com/book/10.1007/978-3-031-41026-0
publisher: Springer Nature
date: 2024
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Learning Statistics with jamovi: A Tutorial for Beginners in Statistical Analysis
subject: Statistical Analysis
description: Based on Danielle Navarro’s widely acclaimed and prize-winning book Learning Statistics with R, this elegantly designed textbook offers undergraduate students a thorough and accessible introduction to jamovi, as well as how to get to grips with statistics and data manipulation.
creator: Danielle Navarro, David Foxcroft,
source: https://books.openbookpublishers.com/10.11647/obp.0333.pdf
publisher: Open Book Publishers
date: 2025
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Linear Algebra with Applications - 2023-A-D
subject: Linear Algebra
description: The aim of this textbook is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students who need to understand not only how to use these methods but also gain insight into why they work. The content has enough flexibility to present a traditional introduction to the subject, or to allow for a more applied course. Chapters 1–4 contain a one-semester course for beginners, whereas Chapters 5–9 contain a second semester course.
creator: W. Keith Nicholson
source: https://collection.bccampus.ca/textbooks/linear-algebra-with-applications-2023-a-d-vretta-lyryx-inc-446/
publisher: Lyryx
date: 2023
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Quantitative Problem Solving in Natural Resources - Second Edition
subject: Applied Matematics
description: This book is a collection of resources focused on solving quantitative problems that non-mathematicians interested in biology and environmental sciences may find compelling. It is not intended as a guide to be followed through a series of skills, but rather as a resource to support the problem-solving process and help lower conceptual and computational barriers along the way.
creator: Pete L. Moore
source: https://www.iastatedigitalpress.com/plugins/books/198/
publisher: Iowa State University Digital Press
date: 2025
contributor: Baihaqi
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Functional Calculus
subject: Calculus
description: This book covers recent developments in the field of functional calculus. Calculus is the elementary subject of applied analysis and its study provides a rich variety of functions and their behavior. The book brings together a range of different but related concepts from across the wide spectrum of the concept of calculus.
creator: Hammad Khalil (editor)
source: https://mts.intechopen.com/storage/books/11503/authors_book/authors_book.pdf
publisher: IntechOpen
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Recent Advances in Fractional Calculus
subject: Mathematics Computer science
description: This project is dedicated to fractional calculus, one of the most dynamic areas of mathematical science today. For 50 years, the number of researchers and scientific publications dealing with this topic has been increasing day by day, which clearly demonstrates the growing interest in fractional calculus, both from a practical and a theoretical point of view.
creator: Péter Kórus (editor), Juan Eduardo Nápoles Valdés (editor)
source: https://mdpi-res.com/bookfiles/book/9294/Recent_Advances_in_Fractional_Calculus.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Ceative Commons
format: PDF
language: English
type: Textbooks

Mathematical Inequalities in Fractional Calculus and Applications
subject: MDPI - Multidisciplinary Digital Publishing Institute
description: In recent years, fractional differential equations have been used frequently in modelling of real systems in numerous fields of applied sciences. To study the existence, uniqueness, and stability of solutions in a system of fractional differential equations, inequalities involving derivatives and integrals of arbitrary powers, also known as fractional inequalities, have been used.
creator: Seth Kermausuor (editor), Eze Nwaeze (editor)
source: https://mdpi-res.com/bookfiles/book/9834/Mathematical_Inequalities_in_Fractional_Calculus_and_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

A Coupled System of Differential-Algebraic Equation and Hyperbolic Partial Differential Equation
subject: Mathematics Calculus
description: Coupled systems of differential-algebraic equations (DAEs) and partial differential equations (PDEs) appear in various fields of applications such as electrical engineering, bio-mathematics, or multi-physics. They are of particular interest for the modeling and simulation of flow networks, for instance energy transport networks. In this thesis, we discuss a system in which an abstract DAE and a second order hyperbolic PDE are coupled through nonlinear coupling functions.
creator: Dennis Groh
source: https://www.logos-verlag.de/ebooks/OA/978-3-8325-5773-7.pdf
publisher: Logos Verlag Berlin
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Sequences and Series
subject: Mathematics Calculus
description: The author invites the reader to embark on a journey through the interesting and surprising subject of sequences and series of real numbers and functions in this clear and easy-to-read theoretical exposition. The book provides several examples and applications of sequences and series, as well as a list of proposed exercises to provide a full learning experience. From the secondary to the university level, this textbook provides a solid foundation in mathematics and a basis for further studies.
creator: Luis Vieira (editor)
source: https://mts.intechopen.com/storage/books/13951/authors_book/authors_book.pdf
publisher: IntechOpen
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: Ennglish
type: Textbooks

Bifurcation Theory with Applications
subject: Differential Calculus
description: Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoretical, computational, and experimental results. The book examines various practical systems, including models of target detection in cells through the analysis of bio-nanomachine, attractant, and repellent concentrations.
creator: Terry E. Moschandreou (editor)
source: https://mts.intechopen.com/storage/books/12911/authors_book/authors_book.pdf
publisher: IntechOpen
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Policing Rape
subject: Rape Violence
description: The policing of rape is in permacrisis. This book addresses the question of why police investigations continue to fail most rape victim-survivors and puts forward a framework for what policing can do to change this. Low conviction rates and poor victim-survivor experiences are the hallmarks of the rape justice gap.
creator: Katrin Hohl, Elizabeth A. Stanko
source: https://library.oapen.org/bitstream/handle/20.500.12657/90846/9780429816383.pdf
publisher: Taylor & Francis
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Genetic Algorithms
subject: Artificial intelligence
description: The solution to many real-world problems lies in optimizing processes, parameters, or techniques, which requires dealing with immense search spaces. As such, finding solutions involves exhaustive methods to evaluate all possible solutions in the search for a global optimum.
creator: Sebastián Ventura (editor). José María Luna (editor)
source: https://mts.intechopen.com/storage/books/10694/authors_book/authors_book.pdf
publisher: IntechOpen
date: 2022
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Emerging Technologies towards Energy Cooperation between Smart Grid and Microgrids
subject: Applied mathematics
description: The growing propagation of microgrids and their remarkable effects on the operation of the smart grid is leading to the development of a sustained environment which is moving away from traditional frameworks. Therefore, tending to microgrid systems to increase their range of benefits can play a significant role in outlining an effective negotiation framework for the microgrids that are connected to the smart grid.
creator: Mohamed A. Mohamed
source: https://mdpi-res.com/bookfiles/book/8839/Emerging_Technologies_towards_Energy_Cooperation_between_Smart_Grid_and_Microgrids.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Nonlinear Systems
subject: Applied Mathematic
description: Open Mathematics is a challenging notion for theoretical modeling, technical analysis, and numerical simulation in physics and mathematics, as well as in many other fields, as highly correlated nonlinear phenomena, evolving over a large range of time scales and length scales, control the underlying systems and processes in their spatiotemporal evolution.
creator: Quanxin Zhu
source: https://mdpi-res.com/bookfiles/book/6640/Nonlinear_Systems.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algorithmic Foundations for Social Advancement Recent Progress on Theory and Practice
subject: Algorithms
description: This Open access book provides an overview of the cutting-edge research to systematize innovative foundations in algorithmic theories and techniques, and apply them to solve socially significant real-life problems, thereby driving social transformation and advancement. Formulating such social problems into well-defined mathematical or computational terms requires not only a solid theoretical foundation but also a deep understanding of the application domain itself. The content is divided into three parts. Following an introductory chapter in Part I, Part II discusses how to bridge the gap between algorithmic solutions and social advancement
creator: Minato, Shin-ichi (editor) Uno, Takeaki (editor) Yasuda, Norihito (editor) Horiyama, Takashi (editor) Kawarabayashi, Ken-ichi (editor) Yamashita, Shigeru (editor) Ono, Hirotaka (editor)
source: https://library.oapen.org/bitstream/20.500.12657/99917/1/9789819606689.pdf
publisher: Springer Nature
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Innovative Research Approaches & Practices towards Sustainable Land Management, Preservation & Restoration
subject: Applied mathematics
description: Sustainable Land Management (SLM) is vital for soil health, biodiversity, and resilience. Climate change and human activity both accelerate land degradation, prompting urgent action according to the IPCC Climate Change Report (2023).
creator: Kleomenis Kalogeropoulos Andreas (Tsatsaris
source: https://mdpi-res.com/bookfiles/book/8857/Innovative_Research_Approaches__Practices_towards_Sustainable_Land_Management_Preservation__Restoration.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Symmetry and Symmetry-Breaking in Fluid Dynamics
subject: Mathematic Physics
description: Symmetry underlies many fluid phenomena and often provides a key to a better understanding as well as simpler analytical or numerical solutions for a variety of flows. This Special Issue of Symmetry aims to stimulate new insights and perspectives into the role of symmetry in a wide range of fluid flows, symmetry-breaking phenomena, and flows that are symmetric partially, locally, or intermittently.
creator: Andrzej Herczyński, Roberto Zenit
source: https://mdpi-res.com/bookfiles/book/9749/Symmetry_and_SymmetryBreaking_in_Fluid_Dynamics.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Animal Nutrition and Productions: Series II
subject: Mathematics Biology
description: The externalization of animals’ genetic potential is determined by a number of external factors, of which feeding plays a major role. Animal nourishment is one of the most important levers in ensuring the efficiency of animal production due to both the high share of feed costs in the total cost of products and the influence this has on the growth, reproduction, and health of animals, as well as the quality of products obtained from them.
creator: Daniel Simeanu, Daniel Mierlita
source: https://mdpi-res.com/bookfiles/book/9652/Animal_Nutrition_and_Productions_Series_II.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Research Progress of Plant Compounds for Diabetes and Its Complications
subject: Applied mathematics
description: Numerous chronic complications appear in the evolution of diabetes mellitus type 2 and type 1, and they significantly influence the duration of life of the patient. Diabetes mellitus is a metabolic disease where pro-oxidant and pro-inflammatory mechanisms are intensely expressed.
creator: Cosmin Mihai Vesa, Dana Zaha
source: https://mdpi-res.com/bookfiles/book/8900/Research_Progress_of_Plant_Compounds_for_Diabetes_and_Its_Complications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

High Fat Diet with Chronic Diseases
subject: Mathematics and Science Biology
description: This Special Issue, "High Fat Diet with Chronic Diseases," delves into the intricate relationship between dietary fat intake and chronic disease. Via a comprehensive exploration of topics such as obesity and metabolic disorders, pancreatic health and diabetes, skeletal and muscle health, and neurological and cognitive function, it provides valuable insights into the complex interplay between dietary factors and chronic diseases.
creator: Xiaoyu Wang, Frédéric Dutheil
source: https://mdpi-res.com/bookfiles/book/9305/High_Fat_Diet_with_Chronic_Diseases.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Algebraic, Analytic, and Computational Number Theory and Its Applications
subject: Mathematics Applied mathematics
description: Analytic number theory is a branch of number theory which uses methods from mathematical analysis in order to solve difficult problems about integers. Analytic number theory can be split into two major areas: multiplicative number theory and additive number theory.
creator: Diana Savin, Nicusor Minculete
source: https://mdpi-res.com/bookfiles/book/8618/Algebraic_Analytic_and_Computational_Number_Theory_and_Its_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Elements of Higher Mathematics
subject: Mathematics Learning Mathematics Number Theory
description: This is a textbook for beginning mathematics students. Knowledge of school mathematics is not presumed: it starts with the basics of counting. The underlying idea is that the best way to learn mathematics is by doing mathematics. For beginning students it is sometimes a problem to assume when looking for proof.
creator: Frans Keune
source: https://library.oapen.org/bitstream/handle/20.500.12657/94433/9789493296824_Elements_digital.pdf
publisher: Radboud University Press
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

New Developments in Geometric Function Theory II
subject: Computer science
description: This project aimed to gather together the latest developments in research concerning complex-valued functions from the perspective of geometric function theory. Scholars’ contributions were sought on topics including, but not limited to: new classes of univalent and bi-univalent functions; studies regarding coefficient estimates including the Fekete–Szego functional, Hankel determinants, and Toeplitz matrices; applications of different types of operators in geometric function theory including differential, integral,
creator: , Georgia Oros (editor)
source: https://mdpi-res.com/bookfiles/book/9167/New_Developments_in_Geometric_Function_Theory_II.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Theory of Functions and Applications
subject: Mathematics Applied mathematics
description: Theory of Functions and Applications published the latest results in the field of theory of functions, in particular, the theory of functions of a real variable, the theory of approximations, the theory of functions of a complex variable, and the theory of entire and meromorphic functions.
creator: Inna Kalchuk
source: https://mdpi-res.com/bookfiles/book/9259/Theory_of_Functions_and_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Submanifolds in Metric Manifolds
subject: Mathematics Geometry Cognitive studies
description: The present reprint contains articles accepted and published in the Special Issue “Submanifolds in Metric Manifolds” of the MDPI journal Mathematics; said articles cover a wide range of topics connected to the theory and applications of the geometry of manifolds and their submanifolds, alongside the geometrical and topological structures of submanifolds endowed by special structures in manifolds .
creator: Cristina-Elena Hretcanu
source: https://mdpi-res.com/bookfiles/book/9212/Submanifolds_in_Metric_Manifolds.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Differential Geometry
subject: Mathematics Statistical structure
description: This Special Issue presents recent developments in the field of structures on manifolds and their submanifolds. This volume covers a vast range of topics, including twister product Hermitian manifold, Legendrian warped product submanifold, Bertrand curve pair, CR-slant warped product, RW spacetime, Li–Yao-type gradient, Ricci–Yamabe solutions, etc., thus stimulating further research in this area.
creator: Mohammad Hasan Shahid
source: https://mdpi-res.com/bookfiles/book/10003/Differential_Geometry_Structures_on_Manifolds_and_Submanifolds.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The Many-Worlds Interpretation of Quantum Mechanics
subject: Mathematics Physics
description: Next year, there will be a 100-year celebration of quantum mechanics, but there is no consensus on the interpretation of this theory. This reprint presents recent works on one of the most intriguing interpretations, the many-worlds interpretation, presented at a workshop in October 2022 at Tel Aviv University. The many-worlds interpretation solves the measurement problem, avoids action at a distance and indeterminism, and does not contradict empirical evidence.
creator: Lev Vaidman
source: https://mdpi-res.com/bookfiles/book/9238/The_ManyWorlds_Interpretation_of_Quantum_Mechanics.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Computational Mathematics and Applied Statistics
subject: Information technology industries Computer science
description: Rapid advances in modelling research have created new challenges and opportunities for statisticians. Statistical inference in observational studies and many other emerging fields have motivated statisticians worldwide to develop cutting-edge methods and analytical strategies.
creator: Sandra Ferreira
source: https://mdpi-res.com/bookfiles/book/7340/Computational_Mathematics_and_Applied_Statistics.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Recent Advances and Applications in Partial Least Squares Structural Equation Modeling (PLS-SEM)
subject: Mathematics Research and information
description: This reprint includes 23 research articles and 1 review accepted and published by MDPI in the Special Issue entitled "Recent Advances and Applications in Partial Least Squares Structural Equation Modeling (PLS-SEM)", comprising 7 articles in Economies, 6 articles in Mathematics, 10 articles in Sustainability and 1 article in Data.
creator: María del Carmen José-María Montero
source: https://mdpi-res.com/bookfiles/topic/8364/Recent_Advances_and_Applications_in_Partial_Least_Squares_Structural_Equation_Modeling_PLSSEM.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Origins and Natures of Inflation, Dark Matter and Dark Energy
subject: Applied mathematics
description: Exploring the origins of a field to understand inflation, dark matter, and dark energy is one of the most important problems in modern physics and cosmology. The future detection of primordial gravitational waves is strongly expected to reveal the energy scale of inflation in the early universe. Furthermore, there are two possibilities for the origin of dark matter, namely, new particles in particle-theory models beyond the standard model, and astrophysical objects.
creator: Kazuharu Bamba
source: https://mdpi-res.com/bookfiles/book/9064/Origins_and_Natures_of_Inflation_Dark_Matter_and_Dark_Energy.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Environmental Analytical Chemistry
subject: Applied mathematics
description: The domain of environmental analytical chemistry includes all analytical aspects of studies related to environmental problems and their management. The analysis of organic, inorganic, and radioactive pollutants in air, water, soil, and biota is quite a challenging task at a time of large social development and climate change. In addition, the development of new analytical methods or the improvement of existing ones for the monitoring of pollutants is of paramount importance for achieving such goals.
creator: Stefan Tsakovski, Tony Venelinov
source: https://mdpi-res.com/bookfiles/book/8681/Environmental_Analytical_Chemistry.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Plant–Soil–Microorganism Interaction in Grassland Agroecosystem
subject: Mathematics and Science Biology Microbiology
description: Plant–soil–microorganism interactions span a vast continuum, from beneficial to detrimental, and play a major role in natural and agricultural ecosystems. Beneficial or mutualistic plant-colonizing microbiology is widely distributed and provides benefits to the plant by supplying nutrients and increasing plant stress tolerance or disease resistance. This is the case with mycorrhizal fungi, a group of diverse fungal taxa that are associated with the roots of about 90% of all plant species and provide plants with mineral nutrients in exchange for fixed carbon.
creator: Xingxu Zhang Tingyu Duan Xiangling Fang
source: https://mdpi-res.com/bookfiles/book/9454/PlantSoilMicroorganism_Interaction_in_Grassland_Agroecosystem.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Differential Equations for Studies in Computational Electrophysiology
subject: Mathematics Computer science Life sciences
description: This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations.
creator: Karoline Horgmo Jæger, Aslak Tveito
source: https://library.oapen.org/bitstream/handle/20.500.12657/63576/978-3-031-30852-9.pdf
publisher: Springer Nature
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Probability and statistics
subject: Statistics Probability
description: With Response Surface Methods - Theory, Applications, and Optimization Techniques, one can unlock the full potential of experimental designs. This comprehensive guide delves into the complexity of Response Surface Methodology (RSM), offering both foundational theories and cutting-edge applications. This book provides novices and experienced practitioners with the tools and knowledge required to optimize processes, enhance quality, and drive innovation. Through a mix of theoretical insights and practical case studies, one addresses how RSM can be applied across a diverse set of fields, including engineering, chemistry, biology, health care, and more.
creator: Valter Silva João Sousa Cardoso
source: https://intech-files.s3.amazonaws.com/a043Y000010Jz77QAC/0015326_Authors_Book%20%282024-07-18%2010%3A58%3A35%29.pdf
publisher: IntechOpen
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Numerical Linear Algebra and the Applications
subject: Algebra Aljabar Mathematical algebra
description: Numerical linear algebra is a very important topic in mathematics and has important recent applications in deep learning, machine learning, image processing, applied statistics, artificial intelligence and other interesting modern applications in many fields. The purpose of this Special Issue in Mathematics is to present the latest contributions and recent developments in numerical linear algebra and applications in different real domains.
creator: Khalide Jbilou Marilena Mitrouli
source: https://mdpi-res.com/bookfiles/book/4606/Numerical_Linear_Algebra_and_the_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2021
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Number Fields
subject: Mathematics
description: Number Fields is a textbook for algebraic number theory. It grew out of lecture notes of master courses taught by the author at Radboud University, the Netherlands, over a period of more than four decades. It is self-contained in the sense that it uses only mathematics of a bachelor level, including some Galois theory. Part I of the book contains topics in basic algebraic number theory as they may be presented in a beginning master course on algebraic number theory. It includes the classification of abelian number fields by groups of Dirichlet characters.
creator: Frans Keune
source: https://library.oapen.org/bitstream/handle/20.500.12657/62284/9789493296039.pdf
publisher: Radboud University Press
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Operator Theory
subject: Algebra Mathematics
description: Operator theory is a fascinating model that includes essential theorems and diverse applications in all science. This book discusses some fundamental aspects of pure and applied operator theory and the use of the theory to solve a large array of problems. As such, it will be of interest to scholars, researchers, and undergraduate and graduate students in pure and applied mathematics, classical and modern physics, engineering, and science in general.
creator: Abdo Abou Jaoudé
source: https://mts.intechopen.com/storage/books/11865/authors_book/authors_book.pdf
publisher: IntechOpen
date: 2023
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Bridging Eigenvalue Theory and Practice
subject: Mathematics
description: Eigenvalue theory is a cornerstone of applied mathematics, playing a fundamental role in stability analysis, control theory, computational methods, and engineering applications. This volume explores the interplay between theoretical insights and real-world implementations, demonstrating how eigenvalue-based techniques drive advancements in modern engineering. Covering topics such as numerical linear algebra, spectral analysis, high-performance computing, and data-driven methodologies, this collection presents innovative approaches for solving complex eigenvalue problems in control systems, structural analysis, machine learning, and large-scale simulations alongside cutting-edge numerical methods that enhance computational efficiency and accuracy.
creator: Bruno Carpentieri
source: https://intech-files.s3.amazonaws.com/a043Y000011YN2UQAW/0015831_Authors_Book%20%282025-04-10%2010%3A50%3A50%29.pdf
publisher: IntechOpen
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Beginning in Algebraic Geometry
subject: Algebraic geometry Algebra Mathematics
description: Introductory textbooks on algebraic geometry typically demand a strong mathematical background and can be challenging even for advanced students. While many excellent texts aim to bridge the gap to mastering this rich field, learners who are new to abstract algebra—or who have never studied it through a geometric lens—still often find the subject inaccessible. Beginning in Algebraic Geometry achieves a remarkable balance, offering a rigorous and detailed development of algebraic geometry that is nevertheless intended to be readable by students with only a first course in abstract algebra and linear algebra as prerequisites.
creator: Emily Clader Dustin Ross
source: https://library.oapen.org/bitstream/handle/20.500.12657/103560/9783031888199.pdf
publisher: Springer Nature
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Numerical Analysis and Optimization
subject: Mathematics
description: In the proposed reprint, readers will have the opportunity to explore contemporary numerical optimization methods that address a wide range of problems. Some of the topics covered include GNN and ZNN dynamic systems, differential evolution methods, inclusion models, multi-product and multi-criteria supply–demand network equilibrium models, and conjugate gradient and accelerated hybrid quasi-Newton approaches for determining optimal solutions to given problems, among others.
creator: Milena J. Petrović, Predrag S. Stanimirović, Gradimir Milovanović
source: https://mdpi-res.com/bookfiles/book/11129/Numerical_Analysis_and_Optimization.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Statistical Physics and Its Applications in Economics and Social Sciences
subject: Mathematics Physics
description: Econophysics and sociophysics are interdisciplinary research fields that merge social and economic problems using techniques derived from statistical physics. While econophysics delves into financial market behavior and wealth distribution inequality, sociophysics explores opinion formation, polls and technology adoption. Over the past three decades, these interdisciplinary fields have undergone significant development, capturing ongoing interest as they strive to provide statistical descriptions of various phenomena in the realm of social sciences.
creator: José Roberto Iglesias
source: https://mdpi-res.com/bookfiles/book/9358/Statistical_Physics_and_Its_Applications_in_Economics_and_Social_Sciences.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

The University and the Algorithmic Gaze
subject: Linguistics Algorithms Higher education
description: This open access book takes an innovative and critical look at the ways in which digital data and algorithms are changing the face of higher education in multiple ways. It examines their impact at both the macro scale of universities and systems worldwide, but also at the more subtle level of effects on academics and students. In doing so, it focuses on the day-to-day life of the university, examining how the digital is changing the way that we communicate, learn, and create new knowledge.
creator: Lesley Gourlay
source: https://library.oapen.org/bitstream/handle/20.500.12657/98182/9781350281585.pdf
publisher: Bloomsbury Academic
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Geometry and Topology with Applications
subject: Mathematics Geometry
description: This reprint is a Special Issue of MDPI’s Mathematics, titled “Geometry and Topology with Applications”, and it collects several papers that are in some way related to the general research field of geometry. More specifically, among the 13 papers composing the reprint, there are several specific topics, ranging from low-dimensional topology to geometric group theory, differential geometry to algebraic topology, and group theory to graph theory.
creator: Daniele Ettore Otera
source: https://mdpi-res.com/bookfiles/book/10887/Geometry_and_Topology_with_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Advanced Techniques for the Analysis of Protein and RNA
subject: Mathematics Biology
description: Proteins and RNAs are vital components of cellular machinery, playing diverse roles from structural functions to regulating signaling pathways and cellular processes. Their involvement is especially critical during development and in response to environmental stimuli, influencing growth, differentiation, immune responses, and other key biological activities. Enhancing the detection of proteins and RNAs, including mRNA and microRNA, is crucial for deepening our understanding of cellular dynamics and their roles in health and disease.
creator: Xiaolong Yang
source: https://mdpi-res.com/bookfiles/book/9719/Advanced_Techniques_for_the_Analysis_of_Protein_and_RNA.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

New Trends in Production and Operations Management
subject: Applied mathematics
description: The scope of this Special Issue on “New Trends in Production and Operations Management” is to provide scientific research on the interests and concerns of managers who manage the operations, design, and supply chains of products and processes.
creator: Panagiotis Tsarouhas
source: https://mdpi-res.com/bookfiles/book/9003/New_Trends_in_Production_and_Operations_Management.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Special Abilities of Microbes and Their Application in Agro-Biology
subject: Mathematics Biology Agriculture
description: Amid the growing challenges posed by climate change, securing global food security has never been more critical. This imperative is at the heart of the United Nations' "Zero Hunger" SDG. This reprint unveils the innovational role of microbial-based biofertilizers in creating sustainable agricultural solutions. Microbes, resilient and adaptable, thrive in the most extreme environments on Earth—from the icy polar regions and searing hot springs to polluted and arid lands.
creator: Anuj Ranjan, Vishnu D. Rajput, Abhishek Chauhan
source: https://mdpi-res.com/bookfiles/book/9778/Special_Abilities_of_Microbes_and_Their_Application_in_AgroBiology.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Applications of Fractional Operator in Image Processing and Stability of Control Systems
subject: Research and information Mathematics and Science
description: Fractional calculus and fractional processes are research areas that are gaining increasing attention, with applications in control systems and image processing. Fractional-order systems are a natural generalization of classical integer-order systems with the ability to accurately model a wide range of real-world physical systems. The fusion and noise suppression of medical images in image processing are essential, as these techniques provide valuable information to support clinical diagnosis and treatment.
creator: Xuefeng Zhang, Driss Boutat, Da-Yan Liu
source: https://mdpi-res.com/bookfiles/book/10635/Applications_of_Fractional_Operator_in_Image_Processing_and_Stability_of_Control_Systems.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Fractional Order Complex Systems
subject: Mathematics
description: Fractional-order systems extend classical integer-order models, providing a more accurate description of real-world physical phenomena. In image processing, critical techniques like noise suppression and image fusion in medical imaging are essential for clinical diagnosis and treatment. The increasing diversity of image acquisition models has further emphasized the importance of these techniques.
creator: Jin-Xi Zhang, Xuefeng Zhang, et.al.
source: https://mdpi-res.com/bookfiles/book/10770/Fractional_Order_Complex_Systems.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2025
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Statistical Methods in Data Science and Applications
subject: Mathematics Statistical Methods
description: The rise of big data has significantly elevated the significance of data science, catalyzing extensive research across multiple fields, including mathematics, statistics, computer science, and artificial intelligence. Data science encompasses modeling, computation, and learning processes to transform data into information, information into knowledge, and knowledge into actionable decisions.
creator: Niansheng Tang, Shen-Ming Lee
source: https://mdpi-res.com/bookfiles/book/9160/Statistical_Methods_in_Data_Science_and_Applications.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Chemical and Biochemical Processes for Energy Sources
subject: Mathematics Physics Energy
description: This Issue illustrates the variety of contributions made by chemical and biochemical processes to the production of energy carriers, mostly renewables, to carbon dioxide processing (the capturing, storage, and recycling of value-added chemicals), and to some auxiliary unit operations make the recovery of the main product possible. The main renewable fuels considered are ethanol, biodiesel, biogas, and methane production, as well as hydrogen production based on chemical catalysis and biological processes.
creator: Venko N. Beschkov, Konstantin Petrov
source: https://mdpi-res.com/bookfiles/topic/9380/Chemical_and_Biochemical_Processes_for_Energy_Sources.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks

Statistical Inference in Linear Models
subject: Statistics
description: Linear models are statistical models that play a crucial role in several fields of science and are of practical importance in statistics. The most typical type is the linear regression model. Many phenomena, such as those in biology, medicine, economics, management, geology, meteorology, agriculture and industry, can be approximately described with linear models. Thus, the further research and development of linear models is still a hot research topic.
creator: Sandra Ferreira
source: https://mdpi-res.com/bookfiles/book/8782/Statistical_Inference_in_Linear_Models.pdf
publisher: MDPI - Multidisciplinary Digital Publishing Institute
date: 2024
contributor: Mustabsyirah
rights: Creative Commons
format: PDF
language: English
type: Textbooks