This is a list of mathematics books that are available for viewing online or downloading for free.
Abstract algebra
- Abstract Algebra: The Basic Graduate Year by Robert B. Ash
- Algebra: Abstract and Concrete by Frederick M. Goodman
- A Course in Commutative Algebra by Robert B. Ash
- Elementary Abstract Algebra by W. Edwin Clark
- Elements of Abstract and Linear Algebra by Edwin H. Connell
Analysis
- Mathematical Analysis I by Elias Zakon
- Mathematical Analysis II, by Elias Zakon
Calculus
- Calculus by Benjamin Crowell
- Elementary Calculus: An Approach Using Infinitesimals by H. Jerome Keisler
- Vector Calculus by Michael Corral
Combinatorics
- Graph Theory by Reinhard Dienstel
- Graph Theory with Applications by J.A. Bondy and U.S.R. Murty
Discrete mathematics
- Introduction to Finite Mathematics by John G. Kemeny, J. Laurie Snell, and Gerald L. Thompson
- Sets, relations, functions by Ivo Düntsch
Formal logic and mathematical foundations
- A = B by Marko Petkovsek, Herbert Wilf and Doron Zeilberger
- Abstract and Concrete Categories: The Joy of Cats by Jiri Adamek, Horst Herrlich, and George Strecker
- Basic Concepts of Mathematics by Elias Zakon
- Categories, Types and Structure by Andrea Asperti and Giuseppe Longo
- forall x: An Introduction to Formal Logic by P.D. Magnus
- Logic for Computer Science: Foundations of Automatic Theorem Proving by Jean Gallier
- Practical Foundations of Mathematics by Paul Taylor
- A Problem Course in Mathematical Logic by Stefan Bilaniuk
Game theory
- Bargaining and Markets by Martin J. Osborne and Ariel Rubinstein
- Game Theory by Thomas S. Ferguson
Geometry
- The Elements (Java Enhanced Edition) by Euclid
- Fundamentals of Geometry by Oleg A. Belyaev
Linear algebra
- Elementary Linear Algebra by Keith Matthews
- A First Course in Linear Algebra by Robert Beezer et al.
- Linear Algebra by Jim Hefferon
Number theory
- A Computational Introduction to Number Theory and and Algebra by Victor Shoup
- A Course in Algebraic Number Theory by Robert B. Ash
- Elementary Number Theory W. Edwin Clark
- An Introduction to the Theory of Numbers by Leo Moser
Physics
- Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze
- TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze
- Zeno meets modern science by Zurab K. Silagadze
Probability theory
- Introduction to Probability by Charles M. Grinstead and J. Laurie Snell
- An Introduction to Probability and Random Processes by Gian-Carlo Rota and Kenneth Baclawski
- Markov Chains and Stochastic Stability by S.P. Meyn and R.L. Tweedie
- Probability and Stochastic Processes with Applications by Oliver Knill
- Probability on Trees and Networks by Russell Lyons and Yuval Peres
- Probability Theory by S.R.S. Varadhan
- Probability Theory: The Logic of Science by Edwin T. Jaynes
- Probability, Random Processes, and Ergodic Properties by R.M. Gray
- Reversible Markov Chains and Random Walks on Graphs by David Aldous
Statistics
- Concepts and Applications of Inferential Statistics by Richard Lowry
- Introduction to Statistical Thought by Michael Lavine
- Lectures in Mathematical Statistics by D.S.G. Pollock
- Lectures on Statistics by Robert B. Ash
Various
- Applied Mathematical Programming by Stephen P. Bradley, Arnoldo C. Hax and Thomas L. Magnanti
- Sean's Applied Math Book by Sean Mauch