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
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
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
Calculus in Context
James Callahan, lead author
Calculus I, II, III
Jerrold E. Marsden and Alan Weinstein
Calculus
Gilbert Strang
OpenStax Calculus
Gilbert Strang and Edwin Herman, lead authors
Vector Calculus
Michael Corral
Mathematics for Elementary Teachers
Mathematics for Elementary Teachers
Michelle Manes
Linear Algebra
A First Course in Linear Algebra
Rob Beezer
Linear Algebra
Jim Hefferon
Linear Algebra Done Wrong
Sergei Treil
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
Differential Equations
Notes on Diffy Qs
Jiří Lebl
Elementary Differential Equations (with Boundary Value Problems)
William F. Trench
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
Combinatorics Through Guided Discovery
Kenneth Bogart
Foundations of Combinatorics with Applications
Edward A. Bender and S. Gill Williamson
Mathematical Computing
Sage for Undergraduates
Gregory Bard
Numerical Analysis
Tea Time Numerical Analysis
Leon Q. Brin
Abstract Algebra
Abstract Algebra: Theory and Applications
Tom Judson
Elements of Abstract and Linear Algebra
E. H. Connell
Algebra: Abstract and Concrete
Frederick Goodman
Number Theory
Elementary Number Theory: Primes, Congruences, and Secrets
William Stein
A Computational Introduction to Number Theory and Algebra
Victor Shoup
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
Statistics
OpenIntro Statistics
David M. Diez, Christopher D. Barr, Mine Çetinkaya-Rundel
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
Justin Hill and Chris Thron
Books Using Sage
Several of the textbooks on the approved list make extensive use of Sage.
A First Course in Linear Algebra
Rob Beezer
Applied Discrete Structures
Alan Doerr and Kenneth Levasseur
Sage for Undergraduates
Gregory Bard
Abstract Algebra: Theory and Applications
Tom Judson
Elementary Number Theory: Primes, Congruences, and Secrets
William Stein
