![]() The citations in those publications will also point to towards a lot of good material and there's more goodies if you dig around in the source code. Shutz's Geometrical Methods of Mathematical Physics and A First Course in General Relativity.ĭespite it's incredibly pompous title, Penrose's The Road to Reality: A Complete Guide to the Laws of the Universe provides an enjoyable high-level view of a vast expanse of mathematical physics.Īs mentioned by Cedric, I am a huge fan of Sussman and Wisdom's Structure and Interpretation of Classical Mechanics and the associated Functional Differential Geometry memo. Georgi's Lie Algebras In Particle Physics is enjoyable and fast-paced, but probably skips around too much to be used as an adequate first exposure. These also also published in modified form in his book, Spacetime and Geometry.īishop's Tensor Analysis on Manifolds is a great introduction to the subject, and published by Dover, is very cheap (less than $10 on amazon). Sean Carroll's Lecture Notes on General Relativity contain a superb introduction to the mathematics of GR (differential geometry on Riemann manifolds). O Appendix B: Fourier Series and Integrals ![]() * Special Functions and Complex Variables * An Introduction to Differential Topology Here's a list of topics: * Calculus of Variations *If the above URL doesn't work try this one: * (Since then I've tended to hit the pure math books, but that's a different story).Įven better, a version of the book is available online at Paul Goldbart's webpage. The last book I read on "background in math for physicists" was "Mathematics for Physics" by Stone and Goldbart, and I enjoyed it quite a bit.
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