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. Walczak-Typke (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 Takloo-Bighash
- 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 p-adic 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
- Elementary Number Theory: Primes, Congruence, and Secrets by William A. Stein
- Notes for Dick Gross' Algebraic Number Theory Course by S. Sather-Wagstaff
- Algebraic Number Theory & Introduction to Automorphic L-functions by Ching-Li 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 p-adic 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 - Jean-Pierre Demailly
- Moduli Spaces in Algebraic Geometry edited by L. Goettsche
- Lectures by David A. Cox - Introduction to Algebraic Geometry, Minicourse on Toric Varieties, etc.
- Quasi-projective 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 X0(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
- Higher-Dimensional 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 Jean-Pierre 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 K-theory, 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 Semi-Groups 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 Euler-Lagrange 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 Atiyah-Singer 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
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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, 1996-1997
- Introduction to String Theory by Igor V. Dolgachev
- What is String Theory by Joseph Polchinski
- D-Brane Primer by Clifford V. Johnson
- Introduction to Superstring Theory by Elias Kiritsis
- Worked examples in the Geometry of Crystals by HKDH Bhadeshia
- Introduction to Solid-State Physics; Many-Body Theory by Chetan Nayak
- Concepts of Theoretical Solid State Physics by Alexander Altland
- Many-Body Physics by Piers Coleman
- High-Temperature 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
- Non-Equilibrium Statistical Mechanics by Klaus Schulten
- Course in Electrodynamics by Franz Wegner
- Order-of-magnitude-physics 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 non-printable 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 Xiang-Yang 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 Public-Key Cryptosystems Communications of the ACM 21.2 (1978): 120-126.
- 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 (1826-1866) 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, BN-pairs, 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 Lai-Sang 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)
- Online number theory lecture notes and teaching materials
- Open-culture list.
- http://www.techsupportalert.com/free-books-math 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)