The following textbooks are on topics typically taught as part of an undergraduate program in mathematics. We have also included textbooks for mathematical methods courses often included in other degree programs (life sciences, liberal arts, etc.).

## Subjects

### Abstract Algebra

- Abstract Algebra: Theory and Applications, Tom Judson
- Algebra: Abstract and Concrete, Frederick M. Goodman
- Elements of Abstract and Linear Algebra, Edwin H. Connell

### Algebraic Geometry

### Calculus

- Active Calculus, Matt Boelkins
- APEX Calculus, Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar
- Calculus, Gilbert Strang
- Calculus I, II, and III, Jerrold E. Marsden and Alan Weinstein
- Calculus: Early Transcendentals, Lyryx
- Calculus in Context, James Callahan
- The Calculus of Functions of Several Variables, Dan Sloughter
- CLP Calculus, Joel Feldman, Andrew Rechnitzer, and Elyse Yeager
- Community Calculus, David Guichard
- Contemporary Calculus, Dale Hoffman
- Elementary Calculus: An Infinitesimal Approach, H. Jerome Keisler
- Fundamentals of Calculus, Benjamin Crowell, Joel Robbin, and Sigurd Angenent
- OpenStax Calculus, Gilbret Strand and Edwin Herman
- Vector Calculus, Michael Corral

### Combinatorics and Discrete Mathematics

- Applied Discrete Structures, Al Doerr and Ken Levasseur
- Applied Combinatorics, Mitchel T. Keller and William T. Trotter
- A=B, Marko Petkovsek, Herbert Wilf, and Doron Zeilberger
- Combinatorics Through Guided Discovery, Kenneth P. Bogart
- Discrete Mathematics: An Open Introduction, Oscar Levin
- Foundations of Combinatorics with Applications, Edward A. Bender and S. Gill Williamson
- Lectures in Discrete Mathematics, Edward A. Bender and S. Gill Williamson

### Complex Analysis

- A First Course in Complex Analysis, Matthias Beck, Gerald Marchesi, and Dennis Pixton
- Complex Variables, R. B. Ash and W. P. Novinger

### Differential Equations

- Elementary Differential Equations, William Trench
- Elementary Differential Equations with Boundary Value Problems, William Trench
- Notes on Diffy Qs: Differential Equations for Engineers, Jiří Lebl
- Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems, William Trench

### Elementary and Intermediate Algebra

- ORCCA: Open Resources for Community College Algebra, Portland Community College Faculty
- Elementary Algebra, Katherine Yoshiwara
- Intermediate Algebra: Functions and Graphs, Katherine Yoshiwara
- OpenStax Elementary and Intermediate Algebra, Katherine Yoshiwara

### Geometry

- Geometry Unbound, Kiran S. Kedlaya
- Geometry with an Introduction to Cosmic Topology, Michael P. Hitchman

### Linear Algebra

- A First Course in Linear Algebra, Rob Beezer
- A First Course in Linear Algebra, Kenneth Kuttler and Lyryx
- Introduction to Applied Linear Algebra, Stephen Boyd and Lieven Vandenberghe
- Linear Algebra, David Cherney, Tom Denton, Rohit Thomas, and Andrew Waldron
- Linear Algebra, Jim Hefferon
- Linear Algebra, Jason Siefken
- Linear Algebra Done Wrong, Sergei Treil
- Linear Algebra with Applications, W. Keith Nicholson

### Logic

- A Friendly Introduction to Mathematical Logic, Christopher C. Leary and Lars Kristiansen
- A Problem Course in Mathematical Logic, Stefan Bilaniuk
- forall x: An Introduction to Formal Logic, P. D. Magnus

### Mathematics for Liberal Arts Majors

- Math in Society, David Lippman
- Mathematical Discovery, Andrew M. Bruckner, Brian S. Thomson, Judith B. Bruckner

### Mathematical Computing and Numerical Analysis

- Computational Mathematics with SageMath, Paul Zimmermann, et al
- Sage for Undergraduates, Gregory Bard
- Tea Time Numerical Analysis, Leon Q. Brin

### Number Theory

- A Computational Introduction to Number Theory and Algebra, Victor Shoup
- Elementary Number Theory: Primes, Congruences, and Secrets, William Stein
- Number Theory: In Context and Interactive, Karl-Dieter Crisman
- Yet Another Introductory Number Theory Textbook, Jonathan A. Poritz

### Precalculus and College Algebra

- Algebra and Trigonometry, Jay Abramson
- College Algebra, Jay Abramson
- Modeling, Functions, and Graphs: Algebra for College Students, Katherine Yoshiwara
- Precalculus, Jay Abramason
- Precalculus, D. H. Collingwood, K. D. Prince and M. M. Conroy
- Precalculus / College Algebra / Trigonometry, Carl Stitz and Jeff Zeager

### Probability

- Introduction to Probability, Charles M. Grinstead and J. Laurie Snell
- Probability: Lectures and Labs, Mark Huber

### Proofs

- A Gentle Introduction to the Art of Mathematics, Joe Fields
- An Introduction to Proofs and the Mathematical Vernacular, Martin Day
- Book of Proof, Richard Hammack
- Mathematical Reasoning: Writing and Proof, Ted Sundstrom
- Proofs and Concepts, Dave Witte Morris and Joy Morris

### Real Analysis

- The Calculus Integral, Brian S. Thomson
- A Companion to Real Analysis, John M. Erdman
- Basic Analysis: Introduction to Real Analysis, Jiří Lebl
- Elementary Real Analysis, Brian S. Thomson, Judith B. Bruckner, and Andrew M. Bruckner
- Functions Defined by Improper Integrals, William Trench
- How We Got from There to Here: A Story of Real Analysis, Robert Rogers and Eugene Boman
- Introduction to Real Analysis, William Trench
- Mathematical Analysis I, Elias Zakon
- Mathematical Analysis II, Elias Zakon
- The Method of Lagrange Multipliers, William Trench
- Theory of the Integral, Brian S. Thomson

### Statistics

- Introduction to Probability and Statistics Using R, G. Jay Kerns
- Introduction to Statistical Thought, Michael Lavine
- Introductory Business Statistics, Alexander Holmes, Barbara Illowsky, and Susan Dean
- Introductory Statistics, Barbara Illowsky and Susan Dean
- Introductory Statistics for the Life and Biomedical Sciences, David Vu, Dave Harrington
- Online Statistics Education: A Multimedia Course of Study, David Lane
- OpenIntro Statistics, David M. Diez, Christopher D. Barr, and Mine Çetinkaya-Rundel
- SticiGui, Philip Stark

### Trigonometry

- Precalculus / College Algebra / Trigonometry, Carl Stitz and Jeff Zeager
- Trigonometry, Michael Corral
- Trigonometry, Katherine Yoshiwara

## Other resources

- OpenStax
- Open Textbook Intitiative, American Institute of Mathematics
- Open Textbook Library
- OpenTextBookStore