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For questions about mathematical problems arising from physics, the natural science studying general properties of matter, radiation and energy.

13 votes

A soft introduction to physics for mathematicians who don't know the first thing about physics

It's very valuable for a mathematician to be able to read and understand recent physics arxiv postings, and the only way to do this is to go through some (perhaps accelerated) version of physics grad school … Here are some physics books which I have enjoyed. The list is of course constrained by my own limited experience. Electricity and Magnetism, Berkeley Physics Course Vol. II by Edward M. Purcell. …
28 votes
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Why/does 'low-dimension' topology end with dimension 4?

Contrary to the assumption in your question, understanding manifolds of dimension 5 and higher is considered to be easier than understanding 3- and 4-dimensional manifolds. Why? Because in $({\ge}5)$ …
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