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.

Liberal Arts Math

Math in Society
David Lippman

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

Elementary and Intermediate Algebra

ORCCA: Open Resources for Community College Algebra
Portland Community College

Elementary Algebra
Katherine Yoshiwara

Intermediate Algebra: Functions and Graphs
Katherine Yoshiwara

College Algebra and Precalculus

Modeling, Functions, and Graphs: Algebra for College Students
Katherine Yoshiwara

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

Precalculus / College Algebra / Trigonometry
Carl Stitz and Jeff Zeager

Trigonometry

Trigonometry
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
Mike May and Anneke Bart

Calculus

Calculus
David Guichard

Active Calculus
Matt Boelkins

APEX Calculus
Gregory Hartman, Brian Heinold, Troy Siemers, Dimplekumar Chalishajar

CLP Calculus
Joel Feldman, Andrew Rechnitzer, Elyse Yeager

Calculus in Context
James Callahan, lead author

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

Elementary Calculus
Vector Calculus
Michael Corral

Linear Algebra

Understanding Linear Algebra
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
Jiří Lebl

The Ordinary Differential Equations Project
Tom Judson

Introduction to Proofs

Book of Proof
Richard Hammack

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

Mathematical Reasoning: Writing and Proof
Ted Sundstrom

Discrete Math

Applied Discrete Structures
Alan Doerr and Kenneth Levasseur

Discrete Mathematics: An Open Introduction
Oscar Levin

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

Combinatorics

Applied Combinatorics
Mitchel T. Keller and William T. Trotter

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

Combinatorics Through Guided Discovery
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
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
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
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
Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka

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
David M. Diez, Christopher D. Barr, Mine Çetinkaya-Rundel

Introduction to Modern Statistics
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

Course materials that can supplement the approved textbooks or serve as resources for reading courses and independent study.

A Course on Number Theory
Peter Cameron

Games and Puzzles
Volker Ecke and Christine von Renesse

Abstract Algebra: Examples and Applications
Justin Hill and Chris Thron

SIAM Guidebooks on Math Modeling
Karen M. Bliss, Kathleen R. Kavanagh,
Benjamin J. Galluzzo, Rachel Levy

Books Using Sage

Several of the textbooks on the approved list make extensive use of Sage.