Digital library
Textbooks, references and open learning resources.
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MTH 95: Algebra 3
Math Department · Clackamas Community College
In this course, you’ll take an in-depth look at linear, quadratic, and rational relations, each with a focus on graphical properties, algebraic techniques, and real-world applications. Along the way, you’ll sharpen your number sense, deepen your critical thinking, and build the persistence to face new challenges head-on.
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Math 420: Differential Equations
Ron Breitenbach · Cosumnes College
This text is written for students in science, engineering, and mathematics who have completed single variable calculus. This course will cover the theory and the applications of the solutions of ordinary differential equations and systems of ordinary differential equations. The course will introduce students to various topics useful in the solution of differential equations including power series, Laplace transforms, matrices, eigenvalues and eigenvectors, and numerical methods.
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Math C160: Introduction to Statistics
Chau D Tran · Coastline College
Statistical topics covered include collecting of data, sampling, probability, hypothesis testing, analyzing of variance, correlation and regression, nonparametric testing, and correlating for application in the natural sciences, social sciences, business, and management. Use of statistical technology will be introduced.
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Intermediate Algebra
David Arnold · College of the Redwoods
This textbook is used by the Department of Mathematics at College of the Redwoods in Eureka, California for instructional purposes in their Math 120 course, Intermediate Algebra. This text was written by the department specifically for use in Math 120.
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Quantitative Problem Solving in Natural Resources
Peter L. Moore · Iowa State University
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.
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Applied Combinatorics
Mitchel T. Keller & William T. Trotter · Georgia Tech & Morningside College
This book arose from our feeling that a text that met our approach to Applied Combinatorics was unavailable. Because of the diverse set of instructors assigned to the course, the standard text was one that covered every topic imaginable, but provided little depth. We took a different approach, attacking the central subjects of the course description to provide exposure, but taking the time to go into greater depth in select areas to give the students a better feel for how combinatorics works.
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College Technical Math 1A (NWTC)
Rachel Johnson · Northeast Wisconsin Technical College
This text covers fundamental mathematical concepts essential for technical fields, including operations with real numbers, solving equations, and graphing linear equations. It also addresses practical applications such as working with measurements, percents, proportions, geometry, trigonometry, and vectors, providing a solid foundation for students in technical programs.
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Mission College MAT 003B
Benjamin Fineman · Mission College
Math 3B (Calculus II) builds upon differential calculus to focus on integral calculus and its applications. The core mission of the course is to master advanced integration techniques, explore infinite sequences and series, and analyze parametric equations and polar coordinates.
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Functions Defined by Improper Integrals
William F. Trench · Trinity University
This is a supplement to the author’s Introduction to Real Analysis text.
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Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman · Linfield College
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.
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Linear Algebra: A First Course
Doli Bambhania, Fatemeh Yarahmadi and Bill Wilson · De Anza College
This book offers a comprehensive and accessible introduction to linear algebra. It begins with methods for solving linear systems, followed by an exploration of matrices and their properties, including a dedicated chapter on determinants. The text then introduces vectors, covering essential concepts such as span, linear independence, subspaces, and linear transformations. From there, it develops spectral theory, including diagonalization and orthogonal diagonalization with their applications.
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Elementary First Order Dynamic Equations on Time Scales
Svetlin G. Georgiev · Sorbonne University
This text introduces basic first-order differential-like equations within the framework of time scales calculus, a mathematical theory that unifies differential equations (continuous time) and difference equations (discrete time) into a single approach.
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Partial Differential Equations
Niels Walet · University of Manchester
A partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model. PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid dynamics, elasticity, or quantum mechanics.
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International Finance - Theory and Policy
Anonymous · LibreTexts
Intermediate-level international economics texts seem to fall into one of two class. Some are written for students who may one day continue in advanced training and develop advanced general equilibrium models and use sophisticated mathematics. Other intermediate texts are written for noneconomics majors and present descriptive information about the world and the bare basics about how economic models are used to describe that world. This text strives to reach a median between both approaches.
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Elementary Algebra
Lynn Marecek (OpenStax) · Sante Ana College
Elementary Algebra is designed to meet scope and sequence requirements for a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on 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.
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Introductory Probability
Charles Grinstead & J. Laurie Snell · Dartmouth & Swarthmore Universities
This text is designed for an introductory probability course taken by sophomores, juniors, and seniors in mathematics, the physical and social sciences, engineering, and computer science. It presents a thorough treatment of probability ideas and techniques necessary for a firm understanding of the subject. The text can be used in a variety of course lengths, levels, and areas of emphasis.
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Active Calculus
Matthew Boelkins, David Austin & Steven Schlicker · Grand Valley State University
The style of the Active Calculus 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.
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Physical Modeling in MATLAB
Allen B. Downey · Olin College
Modeling and simulation are powerful tools for explaining the world, making predictions, designing things that work, and making them work better. Learning to use these tools can be difficult; this book is my attempt to make the experience as enjoyable and productive as possible. By reading this book—and working on the exercises—you will learn some programming, some modeling, and some simulation. With basic programming skills, you can create models for a wide range of physical systems.
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Math C185: Calculus II
Michael Everett · Coastline College
Second course in the calculus sequence. It satisfies the requirement for majors in mathematics, science, or engineering. Topics include techniques and applications of integration, calculus applied to parametric curves and polar curves, analytic geometry, sequences, series, and an introduction to differential equations.
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Yet Another Calculus Text - A Short Introduction with Infinitesimals
Dan Sloughter · Furman University
This text is an introduction to calculus based on the hyperreal number system and uses infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, none are provided for the hyperreals. The text is aimed primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most o