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.
- Fractals by Dr. P. G. Dixon
- 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
- Ross Geoghegan's Home Page has a set of papers
- Numerical Analysis Notes by Lucio Tavernini
- Finite Element Method/Boundry Element Method by Peter Hunter
- 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
- Numerical Analysis by Steven Elliot Pav
- 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
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
- Lectures on Stochastic Calculus and Finance by Steven Shreve
- Essential Principles of Economics by Roger McCain
- Game theory examples by Roger McCain (html)
- Gametheory.net with lectures on the subject
- Determinacy in infinite games by Jindrich Zapletal
generatingfunctionology by Herbert Wilf Algorithms and Complexity by Herbert S. Wilf A=B by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger - 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
Introduction to Probability, by Charles Grinstead & J. Laurie Snell Probability, Random Processes, and Ergodic Properties by R.M. Gray - Dynamics in One Complex Variable: Introductory Lectures, John Milnor
- Geometrical theory of dynamical systems by Nils Berglun
- Lectures on Mechanics, Dynamics, and Symmetry by Jerrold E. Marsden
- Introduction to Statics and Dynamics by Andy Ruina and Rudra Pratap
- Entropy on the World Wide Web has links to expository articles, journals, software, and conferences pertaining to entropy.
- Dynamical Systems and Ergodic Theory, by Mark Pollicott and Michiko Yuri see also
- Ergodic Theory & Dyn. Sys. for errata and additions.
- 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
- lecture notes in Quantum Mechanics by Scott Pratt
- ADVANCED QUANTUM MECHANICS by Jouko Mickelsson
- Foundations of Quantum Mechanics & Quantum Information by M.B. Plenio
- Quantum Geometry and more by Micho Durdevich
- Quantum Probability Theory by Miklos Redei, Stephen J. Summers
- 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
- Lecture Notes from the Quantum Field Theory program at IAS, 1996-1997
- Books by Warren Siegel
- 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
- Algebraic Quantum Field Theory by Hans Halvorson, Michael Mueger
- 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
- Theory of Superconductivity by Helmut Eschrig
- High-Temperature Superconductivity by Peter Hirschfeld
- Solid State Physics Notes, Problem Sets, & Tests by Peter Hirschfeld
- Complex Surphaces in Materials Science with few books
- Special Relativity on the World Wide Web. Tutorials, lecture notes, and computer simulations.
- 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
- Lecture Notes on General Relativity by Sean M. Carroll
- General Relativity and Quantum Cosmology by Sean M. Carroll
- Public lectures by Stephen Hawking and Roger Penrose
- 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
- Teaching electromagnetic field theory using differential forms by K.Warnick,R.Selfridge and D.Arnold
- Lectures on integration of several variables by Michael Adler
- Methods of Mathematical Physics by Mark Trodden
- Concepts in Theoretical Physics by Ben Simons
- Further Mathematical Methods by Niels Walet
- Computational Physics by Angus MacKinnon
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Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.
Differential Geometry
- An Introduction to Riemannian Geometry - Sigmundur Gudmundsson, Lund University
- 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
- Lectures On Symplectic Geometry with and Eye Toward Combinatorics by Sue Tolman
- 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
- Undergraduate notes on Projective Geometry, Manifolds etc. by Nigel Hitchin
- Vector Bundles and an Introduction to Gauge Theory by Steven Bradlow, (Hung-Jen Hsu and Chris Willett)
- Twistor Geometry and Gauge Theory by Martin Wolf
- Complex Geometry of Nature and General Relativity by Giampiero Esposito
- 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
- Complex Variables by Robert B. Ash and W.P. Novinger
- 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
- Paul Garrett's lecture notes
- Functional Analysis (3rd year) lecture notes by Thomas Ward
- Harmonic Analysis and Partial Differential Equations - Björn E.J. Dahlberg and Carlos E. Kenig
- Functional Analysis by Thomas Ward
- An Introduction to C*-Algebras by Pierre de la Harpe and Vaughan Jones
- Functional Analysis by Dr. P. G. Dixon
- 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
- Nonlinear Analysis and Ordinary Differential Equations by Klaus Schmitt
- Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
- Ordinary Differential Equations Notes by Sheldon Newhouse
- 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
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