Approved Textbooks

The list below groups open textbooks by course title. All the books have been judged to meet the evaluation criteria set by the AIM editorial board. Books that are available in a WCAG compliant format are indicated.

Liberal Arts Math

Mathematical Discovery
Andrew M. Bruckner, Brian S. Thomson, Judith B. Bruckner

Math in Society
David Lippman

Introduction to Game Theory: a Discovery Approach
(WCAG compliant) Jennifer Firkins Nordstrom

Elementary and Intermediate Algebra

ORCCA: Open Resources for Community College Algebra (WCAG compliant)
Portland Community College

Elementary Algebra (WCAG compliant)
Katherine Yoshiwara

Intermediate Algebra: Functions and Graphs (WCAG compliant)
Katherine Yoshiwara

College Algebra and Precalculus

Modeling, Functions, and Graphs: Algebra for College Students (WCAG compliant)
Katherine Yoshiwara

Precalculus
David H. Collingwood, K. David Prince, Matthew M. Conroy

Precalculus / College Algebra / Trigonometry
Carl Stitz and Jeff Zeager

Trigonometry

Trigonometry (WCAG compliant)
Katherine Yoshiwara

College Trigonometry
Carl Stitz and Jeff Zeager

Mathematics for Elementary Teachers

Mathematics for Elementary Teachers
Michelle Manes

Business Calculus

Business Calculus with Excel
(WCAG compliant) Mike May and Anneke Bart

Calculus

Calculus
David Guichard

Active Calculus
(WCAG compliant) Matt Boelkins

APEX Calculus
(WCAG compliant) Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar

CLP Calculus
(WCAG compliant) Joel Feldman, Andrew Rechnitzer, Elyse Yeager

Calculus in Context
James Callahan, Kenneth Hoffman, David Cox, Donal O’Shea, Harriet Pollatsek, Lester Senechal

Calculus I, II, III
Jerrold E. Marsden and Alan Weinstein

Elementary Calculus
Vector Calculus
Michael Corral

Linear Algebra

Understanding Linear Algebra
(WCAG compliant) David Austin

Linear Algebra Done Right
Sheldon Axler

A First Course in Linear Algebra
Rob Beezer

Introduction to Applied Linear Algebra
Stephen Boyd and Lieven Vandenberghe

Linear Algebra
Jim Hefferon

Linear Algebra Done Wrong
Sergei Treil

Differential Equations

Elementary Differential Equations (with Boundary Value Problems)
William F. Trench

Notes on Diffy Qs
(WCAG compliant) Jiří Lebl

The Ordinary Differential Equations Project
(WCAG compliant) Tom Judson

Introduction to Proofs

An Introduction to Proof via Inquiry-Based Learning
(WCAG compliant) Dana Ernst

A Gentle Introduction to the Art of Mathematics
Joseph E. Fields

Book of Proof
Richard Hammack

Mathematical Reasoning: Writing and Proof
Ted Sundstrom

Game Theory

Introduction to Game Theory: a Discovery Approach
(WCAG compliant) Jennifer Firkins Nordstrom

Discrete Math

Applied Discrete Structures
(WCAG compliant) Alan Doerr and Kenneth Levasseur

Discrete Mathematics: An Open Introduction
(WCAG compliant) Oscar Levin

Discrete Mathematics: First and Second Course
Edward A. Bender and S. Gill Williamson

Combinatorics

Applied Combinatorics
(WCAG compliant) Mitchel T. Keller and William T. Trotter

Counting Rocks!
H. Adams, K. Emmrich, M. Gillespie, S. Golden, R. Pries

Combinatorics Through Guided Discovery
(WCAG compliant) Kenneth Bogart

Foundations of Combinatorics with Applications
Edward A. Bender and S. Gill Williamson

Computing and Numerical Analysis

Sage for Undergraduates
Gregory Bard

Computational Mathematics with SageMath
Paul Zimmermann et al.

Tea Time Numerical Analysis
Leon Q. Brin

Number Theory

Number Theory: In Context and Interactive
(WCAG compliant) Karl-Dieter Crisman

Elementary Number Theory: Primes, Congruences, and Secrets
William Stein

A Computational Introduction to Number Theory and Algebra
Victor Shoup

Abstract Algebra

Abstract Algebra: Theory and Applications
(WCAG compliant) Tom Judson

Elements of Abstract and Linear Algebra
E. H. Connell

Algebra: Abstract and Concrete
Frederick Goodman

Real Analysis

Basic Analysis: Introduction to Real Analysis
(WCAG compliant) Jiří Lebl

Introduction to Real Analysis
William F. Trench

Elementary Real Analysis
Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner

Mathematical Analysis I
Elias Zakon

How We Got from There to Here: A Story of Real Analysis
Robert Rogers and Eugene Boman

Complex Analysis

A First Course in Complex Analysis
(WCAG compliant) Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka

Complex Analysis
(WCAG compliant) Russell Howell and John Mathews

Geometry and Topology

Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman

Probability

Introduction to Probability
Charles M. Grinstead and J. Laurie Snell

Probability: Lectures and Labs
Mark Huber

Statistics

OpenIntro Statistics (WCAG compliant)
David M. Diez, Christopher D. Barr, Mine Çetinkaya-Rundel

Introduction to Modern Statistics (WCAG compliant)
Mine Çetinkaya-Rundel and Johanna Hardin

Introductory Statistics for the Life and Biomedical Sciences
Julie Vu and David Harrington

SticiGui
Philip Stark

Online Statistics Education
David Lane, lead author

Logic

A Friendly Introduction to Mathematical Logic
Christopher C. Leary and Lars Kristiansen

Data Science and Machine Learning

Mathematics for Machine Learning
Marc Peter Deisenroth, A. Aldo Faisal, Cheng Song Ong

Probability for Data Science
Stanley H. Chan

Additional Resources

Books Using Sage