Free Textbooks in Mathematics
The following is a list of links to useful textbooks in mathematics, available for free on the Internet. All books are legally safe to download, The books are in printable format  Postscript (PS) or Portable Document Format (PDF). You are free to download, read and print them.
General Mathematics
 Whiteman college, Community Calculus Website
 A Summary of Calculus Prof. Karl Heinz Dovermann
 Basic Concepts of Mathematics by Elias Zakon
 Mathemaics 1 Lecture notes: first year Calculus
 Mathematical Analysis I by Elias Zakon
 Calculus by Gilbert Strang, also Student Study Guide to Calculus and Instructor's Manual
 A first analysis course. by John O'Connor
 First Year Mathematics, (notes by William Chen)
 Multivariable Calculus by George Cain & James Herod
 Complex Analysis by George Cain
 Linear Algebra byJim Hefferon
 Elementary Linear Algebra by Keith Matthews
 A First Course in Linear Algebra by Robert A. Beezer (GNU Free Documentation License)
 Linear Algebra by Prof. Jim Hefferon (GNU Free Documentation License)
 Real Analysis by Prof. William F. Trench
 MEASURE THEORY by Prof. D.H.Fremlin (University of Essex) plain tex sources
 Complex Analysis by Douglas N. Arnold
 Real Analysis for Engineers by Erhan Cinlar and Robert J. Vanderbei
 Set Theoretic Real Analysis by Krzysztof Ciesielski
 Expository notes by Daniel Allcock in The finite reflection groups
 Difference Equations to Differential Equations by Dan Sloughter
 Course of linear algebra and multidimensional geometry by Ruslan Sharipov
 Examples, Lecture Notes and Specimen Exam Questions and Natural Sciences Tripos
 Calculus project of Michael Livshits
 The Matrix Cookbook by Kaare Brandt Petersen
 The Octonions by John C. Baez
 Advanced Calculus by Shlomo Sternber
Free Textbooks in Mathematical Logic and Set Theory
 Mathematical Logic  an Introduction by Michal Walicki
 Set theory by Dr. P. G. Dixon
 Set, Groups and Knotes Course (math 101 Harvard university) by Prof. Curtis McMullen
 Descriptive Set Theory by Prof. David Marker.
 Axiomatic Set Theory Michael Meyling
 Axiomatic Set Theory I by A.C. WalczakTypke (other formats: kindle, epub torrent).
 Proof, Sets, and Logic by M Randall Holmes (other formats: tex and complementary toc). More can be find in here.
 Elementary Set Theory with a Universal Set by Randall Holmes
 Philosophy 595  Set Theory by Gary Hardegree
 Philosophy 511: Introduction to Modal Logic by Gary Hardegree
 Philosophy 310: Intermediate Logic by Gary Hardegree
 Philosophy 382  Philosophy of Science by Gary Hardegree
 Philosophy 513  Math Logic I by Gary Hardegree
 Philosophy 595  Formal Semantics by Gary Hardegree
 Abstract Set Theory by Thoralf A. Skolem
 The Continuum and Other Types of Serial Order by Edward V. Huntington
 Descriptive Set Theory by Yiannis N. Moschovakis
 Lecture Notes in Logic by Yiannis N. Moschovakis
 Sense and denotation as algorithm and value by Yiannis N. Moschovakis and Fritz Hamm
 An Introduction to Set Theory by William Weiss
 Fundamentals of Model Theory by William Weiss
 Sets, Relations, Functions by Ivo Düntsch
 Mathematical Logic by Stephen G. Simpson
 Foundations of Mathematics by Stephen G. Simpson
 Model Theory by Stephen G. Simpson
 The theory of the foundations of mathematics  1870 to 1940 by Mark Scheffer
 Computability and Incompleteness by Jeremy Avigad
 Fundamentals of Model Theory by William Weiss and Cherie D'Mello
 Lecture notes in Motivic Integration by David Kazhdan
For more logic lecture notes go to: ASSOCIATION FOR SYMBOLIC LOGIC members.
For more set theory materials go to: Set Theory Preprint Sites
Free Textbooks in Number Theory
 The Circle Method by Steven J. Miller and Ramin TaklooBighash
 An Introduction to the Theory of Numbers by Leo Moser
 Elementary Number Theory by W. Edwin Clark
 Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997
 An Algebraic Circle Method, Thesis submitted by Thibaut PUGIN (Columbia U)
 Notes on the Theory of Algebraic Numbers by Steve Wright.
 Papers on Zeros of the Riemann Zeta Function and Related Topics, by Andrew Odlyzko
 Lecture notes on padic numbers (Andrew Baker)
 A Computational Introduction to Number Theory and Algebra by Victor Shoup
 A Course In Algebraic Number Theory by Robert B. Ash
 Course Notes for elementary and algebraic number theory by Ivan Fesenko
 Course Notes by Jim Milne: Algebraic Number Theory
 The Euclidean algorithm in algebraic number fields by Franz Lemmermeyer
 Algebra and Number Theory by Andrew Baker
 Notes for Dick Gross' Algebraic Number Theory Course by S. SatherWagstaff
 Algebraic Number Theory & Introduction to Automorphic Lfunctions by ChingLi Chai
 Lecture notes on Algebraic Number Theory by Jerome Hoffmann
 Introduction to Number Theory by Franz Lemmermeyer
 Introduction to Analytic Number Theory Lecture nottes by A.J. Hildebrand
 Introduction to Analytic Number Theory by Prof Noam D. Elkies Lecture notes for Havard Math 259 course
 Introduction to Analytic Number Theory lecture notes by A.J. Hildebrand
 Distribution of Prime Numbers, Lecture notes by William Chen
 Course notes for analytic number theory (Graham Everest) (ps 442K)
 Introduction to Analytic Number Theory by Noam Elkies
Free Textbooks in Algebra
 Lectures on Matrices by J. H. M. Wedderburn
 Abstract Algebra Theory and Applications by Thomas W. Judson. (LaTex source)
 Elementary Abstract Algebra by Edwin Clark
 Intro to Abstract Algebra by Paul Garrett
 Abstract Algebra done Concretely by Donu Arapura
 Elements of Abstract and Linear Algebra by Edwin H. Connell
 Abstract Algebra:The Basic Graduate Year by Robert Ash
 Notes for geometric group theory course, by John R. Stallings
 Advanced Linear Algebra lecture notes by Keith Matthews (with real algorithm for the real Jordan form)
 Commutative algebra by Ivan Fesenko
 Abstract Algebra  Number Theory, Group Theory, Galois Theory by Daviiid Wilkins
 Workbook in Higher Algebra by David Surowski with index, many exercises
 Abstract group theory Papers and Notes by Chuck Miller
 The Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald Solomon
 Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt
 Finite Groups and their Representations by Andrew Baker
 Classical Groups by Peter Cameron
 Galois theory by Miles Reid
 Toeplitz and Circulant Matrices by R. M. Gray
 Differential Algebra by Joseph Fels Ritt
 Structure and Representations of Jordan Algebras by Nathan Jacobson
 An Invitation to General Algebra and Universal Constructions, by George M. Bergman
 A Course in Universal Algebra by Stanley N. Burris and H.P. Sankappanavar
 Fundamental Problems in Algorithmic Algebra by Chee Yap
 Varieties of Lattices by Peter Jipsen and Henry Rose
 Commutator Theory for Congruence Modular Varieties by Ralph Freese and Ralph McKenzie
 Algebraic Geometry by Andreas Gathmann, Class Notes TU Kaiserslautern 2014
 Algebraic Geometry by J.S. Milne
 FOUNDATIONS OF ALGEBRAIC GEOMETRY by Ravi Vakil
 Algebraic geometry and projective differential geometry by Joseph M. Landsberg
 Introduction to Algebraic Geometry, Igor V. Dolgachev
 Metric Geometry and Geometric Group Theory by Lior Silberman
 REPRESENTATIONS OF REDUCTIVE GROUPS, by David Kazhdan
 Representations of finite groups, by David Kazhdan
 Lecture notes in Lie Algebras, by David Kazhdan
 Lecture notes in Representations of padic groups, by David Kazhdan
 Lecture notes in Category, by David Kazhdan
 Notes on Algebraic Geometry, J.S. Milne.
 Modular forms (Igor Dolgachev)
 Complex analytic and algebraic geometry  JeanPierre Demailly
 Moduli Spaces in Algebraic Geometry edited by L. Goettsche
 Lectures by David A. Cox  Introduction to Algebraic Geometry, Minicourse on Toric Varieties, etc.
 Quasiprojective Moduli for Polarized Manifolds by Eckart Viehweg
 Lectures on Vanishing Theorems by Hélène Esnault, Eckart Viehweg
 Introduction to Algebraic Geometry by Ravi Vakil
 Determinantal rings by Winfried Bruns and Udo Vetter
 Elliptic curves by Miles Reid
 Elliptic curves, student project, Annegret Weng (ps 726K)
 Arithmetic on hyperelliptic curves, Annegret Weng (ps 148K)
 Course Notes by Jim Milne: Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
 The Modular curves X_{0}(N), Lecture notes by Bas Edixhoven
 Expository articles  Computing rational points on curves, Elliptic curves by Bjorn Poonen
 A Gentle Introduction to Category Theory, by Maarten M.Fokkinga
 Mixed Motives by Marc Levine
 David Madore's Math Page has a 50 page treatise on categories, in DVI and PS.
 Toposes, Triples and Theories by Michael Barr and Charles Wells
 HigherDimensional Categories: an illustrated guide book by Eugenia Cheng and Aaron Lauda
 Abstract and Concrete Categories by J. Adamek, H. Herrlich, G. Strecker
 Higher Operads, Higher Categories by Tom Leinster
 Algebraic Groups and Discontinuous Subgroups by Armand Borel and George D. Mostow
 Linear Algebraic Groups  minor thesis by David Dumas
 Lie Algebras by Shlomo Sternberg
Free Textbooks in Topology
 Textbook in Problems on Elementary Topology by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov and N.Y.Netsvetaev unfinished
 Topology Course Lecture Notes by Aisling McCluskey and Brian McMaster
 Topology lecture notes(3rd year) by Thomas Ward
 Allen Hatcher's homepage has a (nearly complete) textbook.
 Cohomology, Connections, Curvature and Characteristic Classes by David Mond
 Introduction to Characteritic Classes and Index Theory by JeanPierre Schneiders
 Algebraic Topology by Allen Hatcher.
 Algebraic Topology by Solomon Lefschetz, AMS 1942, 389 pp.
 Abstract group theory and topology articles by Walter Neumann
 An introduction to algebraic Ktheory, by Charles Weibel.
 Knots Knotes. by J. D. Roberts
 Vassiliev invariants and combinatorial structures by S.V.Duzhin
 Introduction to Vassiliev knot invariants by S.Chmutov, S.Duzhin
 Collection: "History of Knot Theory" by Andrew Ranicki
 Lecture Notes On Knot Theory by Swatee Naik
 Knot theory from Vandermonde to Jones by Jozef H. Przytycki
Free Textbooks in Analysis
 A First Course in Complex Analysis by Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka
 Riemann Surfaces ( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,) by Prof. Victor Palamodov
 An Introduction to Real Analysis by John K Hunter
 Riemann Surfaces and Nonlinear Equations (1) by Prof. Victor Palamodov
 Homeomorphisms in Analysis by Casper Goffman, Togo Nishiura, and Daniel Waterman
 Why the Boundary of a Round Drop Becomes a Curve of Order Four by A. N. Varchenko and P. I. Etingof
 Lectures on Entire Functions by B. Ya. Levin
 Constructive Real Numbers and Constructive Function Spaces by N. A. Sanin
 Foundations of Nonstandard Analysis by Erland Gadde
 Analytic functions by Stanislaw Saks, Antoni Zygmund
 Theory of Functions of real variable by Shlomo Sternberg
 Functional Analysis by Douglas N. Arnold
 Topics in Real and Functional Analysis by Gerald Teschl
 Paul Garrett's lecture notes
 Functional Analysis (3rd year) lecture notes by Thomas Ward
 Functional Analysis and SemiGroups by Einar Hille and R. S. Phillips, AMS 1957, 808 pp
 The Convenient Setting of Global Analysis by Andreas Kriegl and Peter W. Michor, AMS 1997, 618pp
 Hilbert Space Methods for Partial Differential Equations, by R.E. Showalter
 Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, by R. E. Showalter
 Harmonic Analysis and Partial Differential Equations  Björn E.J. Dahlberg and Carlos E. Kenig
 Functional Analysis by Thomas Ward
 Harmonic Function Theory by Sheldon Axler, Paul Bourdon, and Wade Ramey printing disabled
 An Introduction to C*Algebras by Pierre de la Harpe and Vaughan Jones
 Introduction to Microlocal Analysis by Richard Melrose
 Bernoulli Periodic distributions Notes by Miguel Lerma
 Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall
 Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
 Partial Differential Equations by William W. Symes
 Lectures on analytic differential equations by Yulij Ilyashenko and Sergei Yakovenko
 Exterior Differential Systems and EulerLagrange Partial Differential Equations by Robert L. Bryant, Phillip A. Griffiths, Daniel A. Grossman
 Numerical Methods for Large Eigenvalue Problems  2nd Edition by Yousef Saad.
 Iterative Methods for Sparse Linear Systems by Yousef Saad.
 Boundery Element Method for Laplace Problems by Stephen Kirkup
 Ordinary Differential Equations Modern Perspective by Mohan C Joshi (IIT Bombay)
Free Textbooks in Geometry
 The Geometry Junkyard Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff (by Prof. David Eppstein)
 Geometry in Action by Prof. David Eppstein.
 Introduction to Tensor Calculus and Continuum Mechanics, by John H. Heinbockel
 Topics in Differential Geometry, Peter W. Michor.
 Intrinsic Geometry of Surfaces by A. D. Aleksandrov and V. A. Zalgaller
 Riemann Surfaces, Dynamics and Geometry Curtis McMullen
 Invariance Theory, the Heat Equation, and the AtiyahSinger Index Theorem by Peter B. Gilkey
 Differentiable Manifolds lecture notes (growing) by Mariusz Wodzicki
 Lecture notes for the course in Differential Geometry by Sergei Yakovenko
 Differential Geometry lecture notes by Gabriel Lugo
 Differential geometry reconstructed by Alan U. Kennington
 Course of Differential Geometry by Ruslan Sharipov
 A Modern Course on Curves and Surfaces by Richard S. Palais
 Twistor Geometry and Gauge Theory by Martin Wolf
 Complex Geometry of Nature and General Relativity by Giampiero Esposito
 Geometric Asymptotics by Victor Guillemin and Shlomo Sternberg
 Projective Geometry by Balázs Csikós
 Differential Geometry by Balázs Csikós
 Projective and Polar Spaceas by Peter Cameron
 Transformation groups for begginers by S. V. Duzhin and B. D. Tcherbotarevsky
Free Textbooks in Mathematical Physics
 Dynamical Systems George D. Birkhoff, AMS 1927, 305 pp.
 Dynamics in One Complex Variable: Introductory Lectures, John Milnor
 Introduction to Statics and Dynamics by Andy Ruina and Rudra Pratap

see also
 Entropy of Compact Group Automorphisms by Thomas Ward
 Valuations and Hyperbolicity in Dynamics by Thomas Ward
 Lecture Notes on Mechanics, Probability and Irreversibility by Alexandre J. Chorin

Effective Hamiltonians and averaging for Hamiltonian dynamics  Lawrence
Craig Evans
 Entropy and partial
differential equations  Lawrence Craig Evans
 CLASSICAL AND QUANTUM CHAOS by Predrag Cvitanovic'
 Dynamical systems by Shlomo Sternberg
 Schrödinger Operators by Gerald Teschl
 Quantum Mechanics by Klaus Schulten
 Foundations of Quantum Mechanics & Quantum Information by M.B. Plenio
 Quantum Geometry and more by Micho Durdevich
 Comprehensive textbook on quantum (and classical) field theory by Warren Siegel
 Quantum Field Theory by Ben Simons
 Mathematical ideas and notions of quantum field theory by Pavel Etingof
 Introduction to Algebraic and Constructive Quantum Field Theory by John C. Baez, Irving E. Segal and Zhengfang Zhou scanned pdf. extermely big 200 megabytes
 Lecture Notes from the Quantum Field Theory program at IAS, 19961997
 Introduction to String Theory by Igor V. Dolgachev
 What is String Theory by Joseph Polchinski
 DBrane Primer by Clifford V. Johnson
 Introduction to Superstring Theory by Elias Kiritsis
 Worked examples in the Geometry of Crystals by HKDH Bhadeshia
 Introduction to SolidState Physics; ManyBody Theory by Chetan Nayak
 Concepts of Theoretical Solid State Physics by Alexander Altland
 ManyBody Physics by Piers Coleman
 HighTemperature Superconductivity by Peter Hirschfeld
 Solid State Physics Notes, Problem Sets, & Tests by Peter Hirschfeld
 Mechanics and Special Relativity introductiry textbook by David Morin
 SERGIU KLAINERMAN General Relativity, Nonlinear PDEs, etc.
 Special Relativity and Geometry by C. E. Harle, R. Bianconi
 Differential Geometry (and Relativity) notes by Bob Gardner
 General Relativity and Quantum Cosmology by Sean M. Carroll
 Essential Physics 1 by Frank Firk
 Introduction to Groups, Invariants & Particles by Frank W.K. Firk
 Classical Electrodynamics by Bo Thidé
 Classical electrodynamics and theory of relativity by Ruslan Sharipov
 Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross and P. Robert Kotiuga
 MOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph Schiller
 Fundamentals of Thermodynamics by J. Karl Johnson
 NonEquilibrium Statistical Mechanics by Klaus Schulten
 Course in Electrodynamics by Franz Wegner
 Orderofmagnitudephysics a book by Sanjoy Mahajan
 A Brief Introduction to Physics for Mathematicians, Igor V. Dolgachev
 Physical Applications of Geometric Algebra by Anthony Lasenby and Chris Doran
 Group Theory for Physicists by Predrag Cvitanovic'
 An Elementary Introduction to Groups and Representations by Brian C. Hall
 Geometric Models for Noncommutative Algebras by A. Cannas da Silva and A. Weinstein
 Concepts in Theoretical Physics by Ben Simons
Free Textbooks in Probability Theory
Free Textbooks in Applied Mathematics
 Numerical Analysis Notes by Lucio Tavernini
 An Introduction to Multigrid Methods by Pieter Wesseling
 Numerical Recipes by William H.Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery
 Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Barrett, Richard
 Numerical Analysis at the University of Cambridge
 Numerical Mathematics and Scientific Computation by Germund Dahlquist and Åke Björck
 Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk
 Information Theory, Inference and Learning Algorithms. A Textbook by David J.C. MacKay
 A Short Course in Information Theory  8 lectures by David J.C. MacKay
 Primer on Information Theory by Thomas Schneider
 Several books ! by G. J. Chaitin (not only Information Theory)
 Algorithms and Complexity by Herbert S. Wilf

Applied Quantitative Finance by W. Härdle, T. Kleinow, G. Stahl
printing disabled
Also other nonprintable books on the same page  Measure theory, Probability, Stochastic calculus, General theory of processes, Financial mathematics lectures notes by Rich Bass
 Structural Analysis of Discrete Data and Econometric Applications, editors: Ch. Manski, D. McFadden
 Game theory examples by Roger McCain (html)
 Gametheory.net with lectures on the subject
 Game Theory by Yuval Peres with contribution from David Wilson.
 Handbook of Applied Cryptography, by Alfred J. Menezes , Paul C. van Oorschot, and Scott A. Vanstone
 Fundamentals of Cryptology (A Professional Reference and Interactive Tutorial) by Henk C.A. van Tilborg (Eindhoven University of Technology The Netherlands)
 Mathematical Cryptology, by Keijo Ruohonen
 An Introduction to Cryptography , by Keijo Ruohonen
 Cryptography and Network Security by XiangYang Li
 Cryptography for Beginners by Stu Schwartz
 Foundations of Cryptography
 Lecture Notes on Cryptography
 Cryptography and Network Security
 Cryptography and Cryptanalysis Lecture notes
 Modern Cryptography
 Cryptography and Cryptanalysis by Glenn Durfee
 Lecture Notes on Cryptography by S. Goldwasser and M. Bellare
 Algebra , Coding Theory and Cryptography Lecture Notes by Lior Silberman
 Rivest, Ronald L., Adi Shamir, and Len Adleman. A Method for Obtaining Digital Signatures and PublicKey Cryptosystems Communications of the ACM 21.2 (1978): 120126.
 computer science bibliography
 Hacking Secret Ciphers with Python by Albert Sweigart
 Introduction to Statistical Signal Processing by R.M. Gray and L.D. Davisson
 Markov Chains and Mixing Times by David A. Levin Yuval Peres Elizabeth L. Wilmer
 Zeros of Gaussian Analytic Functions and Determinantal Point Processes by Ben J. Hough, Manjunath Krishnapur, Balint Virag and Yuval Peres
 DRAFT Lecture notes for summer school at UBC on Mixing for Markov chains and spin systems by Yuval Peres
 Probability on Trees: An Introductory Climb by Yuval Peres, Dimitris Gatzouras and David Levin
 Probability on Trees and Networks (In Progress) by by Russell Lyons with Yuval Peres
 Notes from a course on probability on trees and networks, Berkeley, Fall 2004 by Yuval Peres (Edited by Asaf Nachmias)
 Statistics 205B : Probability Theory II (Notes from a graduate course in probability, Berkeley) by Yuval Peres
 Brownian Motion by Peter M ?rters and Yuval Peres
 Lecture notes on Brownian motion by Yuval Peres
Softwares and Applications
Octave
(Edition 3 for Octave version 3.6.1
February 2011)
History of Mathematics
 The Euler Archive. The life and work (including English translation) of Leonhard Euler.
 Mathematics History: AMS Books and Resources
 On the Numbers of Prime Numbers less than a Given Quantity English Translation by David R Wilkins
 The Mathematical Papers of Georg Friedrich Bernhard Riemann (18261866) English Translation by David R Wilkins
Writing Mathematics
Miscellanea
book on the foundations of mathematics by Paul P. Budnik
 Fractals in the Plane  the Ergodic Theory Methods by F. Przytycki and M. Urbanski
 Lecture notes in Conformal Dynamics, taught by Curt McMullen.
 Interactive Graph theory tutorials by Chris K. Caldwell must register to use
 Mirrors and Reflections: The Geometry of Finite Reflection Groups by Alexandre V. Borovik, Anna s. Borovik
 Miscellaneous facts about Coxeter groups by Robert B. Howlett
 Buildings, BNpairs, Hecke algebras, classical groups by Paul Garrett
 Ross Geoghegan's Home Page has a set of papers
 Mathematics of Rubik's cube by David Joyner is a good source for discrete group theory with applications to permutation puzzles.
Reference Sources
Ergodic Theory
 A Simple Introduction to Ergodic Theory by Karma Dajani and Sjoerd Dirksin
 Ergodic Theory (2016) by Charles Walkden
 Notes on ergodic theory by Mike Hochman
 Ergodic Theory of Differentiable Dynamical Systems by LaiSang Young
 Lecture Notes on Ergodic Theory by Omri Sarig
 Hyperbolic manifolds, discrete groups and ergodic theory by C. McMullen (Harvard University)
 The remarkable effectiveness of ergodic theory in number theory by Alexander Arbieto, Carlos Matheus and Carlos G. Moreira
 Notes on ergodic theory by Michael Hochman from the Hebrew University
 Ergoic Theory (Lecture Notes) by Joan Andreu and Lazaro Camf
 Some topics in ergodic theory by Prof. Yuri Bakhtin
 The remarkable effectiveness of ergodic theory in number theory by Alexander Arbieto, Carlos Matheus and Carlos G. Moreira (ENSAIOS MATEMATICOS 2009, Volume 17, 1–104)
 Topics in Ergodic Theory (Lecture notes for the course) by PETER VARJU
Other Lists
 list of links to lecture notes by Franz Lemmermeyer
 List of free math textbooks from open culture web site.
 Online Mathematics Textbooks by George Cain
 Related Links by William F. Trench (Trinity University)
 AIM Open Textbook Initiative by American Institute of Mathematics
 Online number theory lecture notes and teaching materials
 Openculture list.
 http://www.techsupportalert.com/freebooksmath from Gizmo's freeware website
 List of math related softwares and applications
 Formatting information  A beginner's introduction to typesetting with LaTeX by Peter Flynn
 TeX by Topic theTeXbook of Victor Eijkhout.
 Mathematical Illustrations, a manual of geometry and postscript by Bill Casselman
 The TeXbook by Donald Knuth is the most comrehensive book about TEX (tex source)
 The METAFONTbook is also downloadable (tex source)