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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
2
votes
A soft introduction to physics for mathematicians who don't know the first thing about physics
I have seen that most answers (based, perhaps, on the structure of the original question), have verged around quantum mechanics and relativity. I may suggest, however, the following book, which may be …
1
vote
Recent fundamental new directions in PDEs
A very active field of research (and to my understading, may fall into the "fundamental" category) is Domain Decomposition methods (DDM), which can be understood in the geometrical numerical and compu …