Free textbooks (aka open textbooks) written by knowledgeable scholars are a relatively new phenomenon. Below, find a meta list of Free Math Textbooks.
- Abstract Algebra: The Basic Graduate Year by Robert B. Ash, University of Illinois
- Abstract Algebra: Theory and Applications by Thomas W. Judson, Stephen F. Austin State University
- Advanced Algebra II by Kenny Felder, Raleigh Charter High School
- Advanced Calculus by Sternberg Shlomo and Lynn Loomis, Harvard University
- Algebra 1 (Grades 9 & 10) by Andrew and Anne Gloag, High Tech High in San Diego, California
- Algebra and Analysis for Computer Science by Jean Gallier, University of Pennsylvania.
- Applied Probability by Paul Pfeiffer, Rice University
- Basic Analysis by Jiří Lebl, University of Illinois at Urbana-Champaign
- Basic Concepts of Mathematics by Elias Zakon, The University of Windsor
- Basic Probability Theory by Robert B. Ash, University of Illinois
- Basic Probability and Statistics by Brenda Meery, high school mathematics teacher in Glace Bay, Nova Scotia
- Book of Proof by Dr. Richard Hammack, Virginia Commonwealth University
- Calculus for Beginners and Artists by MIT
- Calculus Online Textbook, by Gilbert Strang, MIT
- Calculus (PDF) by David Guichard, Whitman College.
- Calculus (PDF) by Gilbert Strang, MIT
- Calculus 1 by Paul Dawkins, Lamar University
- Calculus 2 by Paul Dawkins, Lamar University
- Calculus 3 by Paul Dawkins, Lamar University
- Calculus with Applications, by Daniel Kleitman, MIT
- CK-12 Geometry (Grades 10-12) by multiple authors. Covers California curriculum.
- CK-12 Single Variable Calculus (Grades 11-12) by Multiple authors. Covers California curriculum.
- CK-12 Trigonometry – Second Edition (Grades 10-12) by multiple authors. Covers California curriculum.
- Collaborative Statistics by Barbara Illowsky, Ph.D and Susan Dean, De Anza College
- College Algebra by Paul Dawkins, Lamar University
- Complex Analysis by George Cain, Georgia Institute of Technology
- Complex Variables by Robert B. Ash, University of Illinois
- Computational Geometry by Nicholas M. Patrikalakis, Takashi Maekawa, MIT
- A Computational Introduction to Number Theory and Algebra by Victor Shoup, NYU
- A Course In Algebraic Number Theory by Robert B. Ash, University of Illinois
- A Course In Commutative Algebra by Robert B. Ash, University of Illinois
- Design of Comparative Experiments by R. A. Bailey, University of London
- Difference Equations to Differential Equations: An Introduction to Calculus by Dan Sloughter, Furman University
- Differential Equations by Paul Dawkins, Lamar University
- Discrete Mathematics: An Open Introduction by Oscar Levin, University of Northern Colorado
- Dynamical Systems by S. Sternberg, Harvard University
- Electronic Statistics Textbook by T. Hill & P. Lewicki.
- Elementary Abstract Algebra by W. Edwin Clark, University of Southern Florida
- Elementary Calculus: An Infinitesimal Approach by H. Jerome Keisler, University of Wisconsin-Madison
- Elementary Differential Equations (PDF) by William F. Trench, Trinity University
- Elementary Differential Equations with Boundary Value Problems (PDF) by William F. Trench, Trinity University
- Student Solutions Manual for Elementary Differential Equations and Elementary Differential Equations with Boundary Value Problems (PDF) by William F. Trench, Trinity University
- Elementary Linear Algebra by Keith Matthews, University of Queensland
- Elementary Number Theory by W. Edwin Clark, University of Southern Florida
- Elements of Abstract and Linear Algebra by Edwin H. Connell, University of Miami
- First Course in Complex Analysis by Matthias Beck, Gerald Marchesi, and Dennis Pixton, SUNY – Binghamton
- First Course in Linear Algebra by Dr. Robert Beezer, University of Puget Sound
- Functions Defined by Improper Integrals (PDF) by William F. Trench, Trinity University
- GeneratingFunctionology by Herbert Wilf, University of Pennsylvania
- Introduction to Matrix Algebra by Autar K Kaw, University of South Florida
- Introduction to Probability, Statistics, and Random Processes by Hossein Pishro-Nik, UMass Amherst
- Introduction to Probability (PDF) by Charles Grinstead & J. Laurie Snell, Swarthmore & Dartmouth Colleges
- Introduction to Real Analysis (PDF) by William F. Trench, Trinity University
- An Introduction to Statistical Learning (PDF) by Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani
- Introduction to Social Network Methods by Robert A. Hanneman and Mark Riddle, UC Riverside
- Introduction to Statistical Thought by Michael Lavine, UMASS
- Introduction to the Theory of Numbers by Leo Moser, McGill
- Introductory Statistics: Concepts, Models, and Applications by David W. Stockburger, Missouri State
- Lectures on Probability, Statistics and Econometrics by Marco Taboga, Economist, Bank of Italy
- Lectures on Statistics by Robert B. Ash, University of Illinois
- Linear Algebra (PDF) by Jim Hefferon, Saint Michael’s College
- Linear Algebra by Paul Dawkins, Lamar University
- Math Alive by Ingrid Daubechies, Princeton University
- Math in Society by David Lipmann, Pierce College
- Math, Numerics, and Programming (for Mechanical Engineers) by Masayuki Yano, MIT
- Mathematical Methods of Engineering Analysis (PDF) by Erhan Çinlar and Robert J. Vanderbei, Princeton University
- Multivariable Calculus by George Cain & James Herod, Georgia Tech
- Proofs and Concepts: The Fundamentals of Abstract Mathematics by Dave Witte Morris and Joy Morris, University of Lethbridge
- Real Variables with Basic Metric Space Topology by Robert B. Ash, University of Illinois
- Statistics by Philip B. Stark, University of California – UC Berkeley
- A Summary of Calculus by Karl Heinz Dovermann, University of Hawaii
- The Book “A=B” by Marko Petkovsek, Herbert Wilf and Doron Zeilberger, Univ. of Pennsylvania and Rutgers
- The Elements of Statistical Learning by Trevor Hastie, Robert Tibshirani and Jerome Friedman
- The Method of Lagrange Multipliers (PDF) by William Trench, Trinity University
- The Calculus of Functions of Several Variables by Dan Sloughter, Furman University
- Yet Another Calculus Text by Dan Sloughter, Furman University