Digital library
Textbooks, references and open learning resources.
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Introduction to Matrix Algebra
Autar Kaw · University of South Florida
This book is an extended primer for undergraduate Matrix Algebra. The book is either to be used as a refresher material for students who have already taken a course in Matrix Algebra or as a just-in-time tool if the burden of teaching Matrix Algebra has been distributed to several courses.
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First-Semester Abstract Algebra: A Structural Approach
Jessica K. Sklar · Pacific Lutheran University
This text is specifically designed to suit a single-semester introductory abstract course, rather than to be a comprehensive reference source.
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College Algebra
Jay Abramson · Arizona State University
In the contents: 01: Algebra Review
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MATH11003 College Algebra
Leslie Shults & Teresa Jennings · Arkansas State University-Beebe
In the contents: R.02: R.2- Real Numbers - Algebra Essentials
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Math 10: College Algebra
Leif Jordan · College of the Desert
In the contents: 01: Algebra Essentials
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Math 140: College Algebra Workbook with Desmos Applications
Lynda Zenati · Olive Harvey College
The Math 140 (College Algebra) Workbook supports active learning through collaborative problem solving, conceptual exploration, and Desmos-enhanced activities. By combining instruction, hands-on learning, and guided reflection, it promotes deeper understanding and student engagement. More than a collection of activities, it provides a coherent framework for active, conceptually focused teaching in College Algebra.
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Intermediate Algebra
OpenStax · Sante Ana College
In the contents: 1.01: Prelude to the Foundations of Algebra · 1.02: Use the Language of Algebra
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Math 081: Introduction to Algebra
Patrick Kwoni · Highline College
In the contents: 6.01: Evaluating Algebraic Expressions
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Differential Equations (No Linear Algebra Required)
Marilena Beckstrand, Adam Manriquez & Emad Shonoda · Mt. San Jacinto College
LibreTexts
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Introduction to Algebraic Structures
Tom Denton · Google Research
In the contents: 9.01: A Return to Linear Algebra
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College Algebra (Math 3A - FCC)
David Yang · Fresno City College
LibreTexts
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Math 1: College Algebra
Mindy Carr · Mission College
LibreTexts
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Algebra in Cuneiform
Jens Høyrup · Roskilde University
In the contents: 1.02: The First Algebra and the First Interpretation · 05: Application of Quasi-algebraic Techniques to Geometry · 6.02: Algebra
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MAT 04C Linear Algebra
Zoya Kravets · Mission College
LibreTexts
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PreAlgebra
Davis Arnold · College of the Redwoods
In the contents: 03: The Fundamentals of Algebra · 3.00: Prelude to the Fundamentals of Algebra · 3.02: Evaluating Algebraic Expressions
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MATH 95: Elementary Algebra II
Melissa Halling · Minnesota State Community and Technical College
In the contents: 1.1.01: Simplifying Algebraic Expressions
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Tea Time Linear Algebra Explorations in Mathematics
Leon Brin · Leon Q. Brin · 2022
This creation is an all-purpose open source textbook for linear algebra classes of all ilks. Inside you will find a complete and engaging introduction to linear algebra, making it a perfect primary resource for classroom study. Take a ride through the landscape of linear algebra from basic mechanics through inner product spaces. 386 pages Over 1000 exercises with over 200 detailed solutions and hundreds more answers Over 250 illustrations Nearly 150 live SageMathCell links Open source Now with online homework and course management at MyOpenMath! Presented in a conversational style with plenty of motivation, illustrations, applications, and theory, this text should be a comfortable read for most beginning mathematicians. Readers and instructors alike will appreciate the numerous detailed exercise solutions accompanying each section. Examine the distribution of bicycles in the Capital Bikeshare system, model an un-preheated oven baking brownies, reproduce sounds via Fourier series, explore reptiles like the one decorating this cover, and more. Read proofs of the rank and nullity theorem, the determinant expansion formula, existence and uniqueness of solutions of linear systems and others. It's all here in Tea Time Linear Algebra.
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Elementary Abstract Algebra: Examples and Applications
Justin Hill; Chris Thron · Justin Hill and Chris Thron · 2019
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format.
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Fundamentals of Matrix Algebra
Gregory Hartman · APEX Calculus · 2011
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.
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Open Resources for Community College Algebra
Portland Community College Faculty · Portland Community College · 2018
Open Resources for Community College Algebra (ORCCA) is an open-source, openly-licensed textbook package (eBook, print, and online homework) for basic and intermediate algebra. At Portland Community College, Part 1 is used in MTH 60, Part 2 is used in MTH 65, and Part 3 is used in MTH 95.