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

## 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, 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
*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

*An Introduction to Proof via Inquiry-Based Learning
*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

## 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

*Complex Analysis
*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*

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.

*A First Course in Linear Algebra
*Rob Beezer

*Applied Discrete Structures
*Alan Doerr and Kenneth Levasseur

*Sage for Undergraduates
*Gregory Bard

*Computational Mathematics with SageMath
*Paul Zimmermann et al.

*Understanding Linear Algebra
*David Austin

*The Ordinary Differential Equations Project
*Tom Judson

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

*Abstract Algebra: Theory and Applications
*Tom Judson

*Number Theory: In Context and Interactive
*Karl-Dieter Crisman

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