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I have a master's degree in operations research and took several PhD level math courses. In particular I'm most familiar with analysis/measure theory, probability theory, and stochastic processes, and have more limited knowledge of algebra, topology, combinatorics, differential equations. I took a course in operator theory and it was very interesting, although the examples were mostly from physics, which were completely over my head. I took intro physics I/II several years ago, and thought electromagnetism was really cool.

I'd like to branch out a bit and study a bit of physics instead of just pure math (in my spare time, not in school anymore), but don't really know where to get started. Is the MIT OCW course decent? What are some texts that would be appropriate given my background? Specifically, I am looking for resources that are mathematically rigorous, but don't require too much prior knowledge of physics itself.

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Before answering, please see our policy on resource recommendation questions. Please write substantial answers that detail the style, content, and prerequisites of the book, paper or other resource. Explain the nature of the resource so that readers can decide which one is best suited for them rather than relying on the opinions of others. Answers containing only a reference to a book or paper will be removed!

closed as primarily opinion-based by CuriousOne, Qmechanic Jun 9 '15 at 18:35

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise. If this question can be reworded to fit the rules in the help center, please edit the question.

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My recommendations are:

For Mechanics, Mathematical Methods of Classical Mechanics, by Arnold.

For Electromagnetism, Modern Electrodynamics, Zangwill.

For Quantum Mechanics, Quantum Physics, Le Bellac, or, at an easier level, Introduction to quantum mechanics, Griffiths.

For General Relativity, General Relativity, Wald.

This should give you a (good) start.

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