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Online Math: Mathematical Physics
Alexandre Stefanov has long maintained a list of
online math texts and other materials at Geocities; this material
has now been moved to 110MB Hosting. Because these resources may be of interest to our readers,
we present here a modified version of Stefanov's list as of November 18, 2009.
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Topics include the following:
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Dynamics
Entropy
- Entropy on the World Wide Web, has links to expository articles, journals, software, and conferences pertaining to entropy.
- Entropy of Compact Group Automorphisms, by Thomas Ward
- Valuations and Hyperbolicity in Dynamics, by Thomas Ward
- Effective Hamiltonians and averaging for Hamiltonian dynamics, by Lawrence Craig Evans
- Entropy and partial differential equations, by Lawrence Craig Evans
- CLASSICAL AND QUANTUM CHAOS, by Predrag Cvitanovic
- Dynamical systems, by Shlomo Sternberg
Quantum Mechanics
Quantum Field Theory
- 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
- Graduate textbooks: Field Theory, Relativity, Superspace, Strings, by Warren Siegel
- Introduction to String Theory, by Igor V. Dolgachev
- What is String Theory, by Joseph Polchinski
- Operator Algebras and Quantum Statistical Mechanics, Volumes I & II, by Ola Bratteli
- D-Brane Primer, by Clifford V. Johnson
- Introduction to Superstring Theory, by Elias Kiritsis
- Algebraic Quantum Field Theory, by Hans Halvorson and Michael Mueger
Condensed Matter
- Worked examples in the Geometry of Crystals, by HKDH Bhadeshia
- 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 Surfaces in Materials Science, with few books
- Photonic Crystals: Molding the Flow of Light, by John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, and Robert D. Meade
Special and General Relativity
- General Relativity, Nonlinear PDEs, etc., Sergiu Klainerman
- Special Relativity and Geometry, by C. E. Harle, R. Bianconi
- Relativity on the World Wide Web. Tutorials, lecture notes, and computer simulations.
- 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
Physics
- 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
- Light and Matter, by Ben Crowell
- 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
- Differential Forms in Electromagnetic Theory, 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
- Zeno meets modern science, by Zurab K. Silagadze
- Feynman's derivation of Maxwell equations and extra dimensions, by Zurab K. Silagadze
- TeV scale gravity, mirror universe, and ... dinosaurs, by Zurab K. Silagadze
- Quick introduction to tensor analysis, by Ruslan Sharipov
- Traveling Wave Solutions of Parabolic Systems, by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.
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