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

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

### Algebraic Geometry

### Calculus

- Active Calculus, Matt Boelkins
- Vector Calculus, Michael Corral
- Fundamentals of Calculus, Benjamin Crowell, Joel Robbin, and Sigurd Angenent
- Calculus, David Guichard
- APEX Calculus, Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar
- Elementary Calculus: An In, H. Jerome Keisler
- Calculus: Early Transcendentals, Lyryx
- Calculus I, II, and III, Jerrold E. Marsden and Alan Weinstein
- Calculus, Gilbert Strang
- The Calculus of Functions of Several Variables, Dan Sloughter

### Combinatorics and Discrete Mathematics

- Foundations of Combinatorics with Applications, Edward A. Bender and S. Gill Williamson
- Combinatorics Through Guided Discovery, Kenneth P. Bogart
- Applied Discrete Structures, Al Doerr and Ken Levasseur
- A=B, Marko Petkovsek, Herbert Wilf, and Doron Zeilberger

### Complex Analysis

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

### Differential Equations

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

### Geometry

- Geometry Unbound, Kiran S. Kedlaya

### Linear Algebra

- A First Course in Linear Algebra, Rob Beezer
- Linear Algebra, David Cherney, Tom Denton, Rohit Thomas, and Andrew Waldron
- Linear Algebra, Jim Hefferon
- A First Course in Linear Algebra, Kenneth Kuttler and Lyryx
- Linear Algebra with Applications, W. Keith Nicholson
- Linear Algebra Done Wrong, Sergei Treil

### Logic

- 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 Computing

- Sage for Undergraduates, Gregory Bard

### Number Theory

- Yet Another Introductory Number Theory Textbook, Jonathan A. Poritz
- Elementary Number Theory: Primes, Congruences, and Secrets, William Stein

### Precalculus

- Precalculus, Jay Abramason
- Trigonometry, Michael Corral
- 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

### Proofs

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

### Real Analysis

- 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
- Introduction to Real Analysis, William Trench
- Functions Defined by Improper Integrals, William Trench
- The Method of Lagrange Multipliers, William Trench
- Mathematical Analysis I, Elias Zakon
- Mathematical Analysis II, Elias Zakon

### Statistics

- OpenIntro Statistics, David M. Diez, Christopher D. Barr, and Mine Çetinkaya-Rundel
- Collaborative Statistics, Barbara Illowsky and Susan Dean
- Introduction to Probability and Statistics Using R, G. Jay Kerns
- Online Statistics Education: A Multimedia Course of Study, David Lane
- Introduction to Statistical Thought, Michael Lavine
- SticiGui, Philip Stark