Textbooks in Mathematics

A list of links to useful mathematical textbooks available for free on the Internet.
They are all legal and maintained by their authors or by the legitimate publisher.

All the documents are in English. They are in a printable format - Postscript
or Adobe Portable Document Format. You are free to download, read and print them.
Here are some links to other sites offering lists of free mathematical textbooks.

For any comments, please, contact: alex_stef@yahoo.com

Remark:printed version indicates a book for which there is also a printed version
[new] indicates documents which appear for first time in the current edition of this page.

General Mathematics Number Theory Algebra, Algebraic Geometry Topology Analysis
Geometry Mathematical Physics Probability Theory Applied Mathematics Miscellanea

New documents

  • Undergraduate notes on Projective Geometry, Manifolds etc. by Nigel Hitchin [new]

    General Mathematics

  • elementary mathematics, Analysis, Lebesgue Integrals ..
  • Mathematical Logic and Set theory
  • Discrete Math

  • Number Theory

  • Introductory Number Theory
  • p-adic numbers
  • Arithmetic Geometry
  • Fermat's Last Theorem
  • Algebraic Number Theory
  • Analytic Number Theory

  • Algebra, Algebraic Geometry

  • Algebra, Abstract
  • Algebraic Geometry
  • Elliptic Curves
  • Category Theory
  • Lie Algebras

  • Topology

  • Algebraic Topology
  • K-Theory
  • Knots

  • Analysis

  • Functional Analysis
  • Differential Equations


  • Differential Geometry
  • Cartan's Corner Differential geometry & Topology


  • Dynamics
  • Entropy
  • Quantum Mechanics
  • Quantum Field Theory
  • Condensed Matter
  • Special and General Relativity
  • Physics
  • Topics in Mathematical Physics by Victor Palamodov
  • Quick introduction to tensor analysis by Ruslan Sharipov
  • printed versionTraveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.
  • SunySB guide - A Collection of Lecture Notes in theoretical physics

    Probability Theory

  • printed version Introduction to Probability, by Charles Grinstead & J. Laurie Snell
  • Probability.Net Tutorials by Noel Vaillant
  • Probability Theory: The Logic of Science, by Edwin Thompson Jaynes
  • Probability Theory As Extended Logic collection of articles and books by Larry Bretthorst
  • Introduction to Probability, by Oliver Knill
  • Probability Theory As Extended Logic Comprises many documents!
  • Random Walks and Diffusion Lecture Notes by Martin Z. Bazant
  • Reversible Markov Chains and Random Walks on Graphs by Aldous and Fill (monograph in preparation)
  • An Invitation to Sample Paths of Brownian Motion
  • Notes on probability theory by H. W. Lenstra
  • An introduction to stochastic differential equations - Lawrence Craig Evans
  • Stochastic Calculus Notes by Alan Bain
  • Probability Theory by S.R.S.Varadhan
  • Statistics by S.R.S.Varadhan
  • Stochastic Processes by S.R.S.Varadhan
  • Lectures on Stochastic Analysis by Thomas G.Kurtz
  • Stochastic Integration and Stochastic Differential Equations by Klaus Bichteler
  • Notes on Hilbert Spaces, Fourier Transform and Probability by Pierre Brémaud
  • printed version Probability, Random Processes, and Ergodic Properties by R.M. Gray [new]

    Applied Mathematics

  • Numerical Analysis
  • Information Theory
  • Financial mathematics
  • Game Theory
  • Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.
  • Linear Algebra, Infinite Dimensions, and Maple by James Herod
  • printed version generatingfunctionology by Herbert Wilf
  • printed version Algorithms and Complexity by Herbert S. Wilf
  • printed versionA=B by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger
  • Applied Math Textbook, by Sean Mauch beta version (unfinished)
  • Mathematical Tools for Physics by James Nearing
  • Applied Mathematics by Peter J. Olver and Chehrzad Shakiban
  • Surveys in Combinatorics
  • Complexity Theory by Oded Goldreich
  • Papers on Combinatorial Enumeration and Asymptotics by Andrew Odlyzko
  • Hyperplane Arrangements by Richard Stanley

  • Cryptography

  • Miscellanea

  • What is and what will be: Integrating spirituality and science
    book on the foundations of mathematics by Paul P. Budnik

  • Fractals
  • Graph Theory
  • Coxeter groups
  • Nielsen Fixed Point Theory
  • Permutation Puzzles

  • How to prepare documents? TEX,LATEX etc.

    Last edited: July, 28, 2005 1