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

Precalculus

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

Precalculus / College Algebra / Trigonometry
Carl Stitz and Jeff Zeager

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

Differential Equations

Linear Algebra

Introduction to Proofs

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

Numerical Analysis

Abstract Algebra

Number Theory

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

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