How and from where does a mathematician learn physics from a mathematical stand point? I am reading the book by Spivak Elementary Mechanics from a mathematicians view point. The first couple of pages of Lecture 1 of the book summarizes what I intend by physics from a mathematical stand point. I wanted to find out what are the other good sources for other branches of physics.
[Physics] Physics for mathematicians
mathematical physicsresource-recommendations
Best Answer
You want the book by V.I. Arnold, Mathematical Methods of Classical Mechanics. It takes a very rigorous, axiomatic approach to Lagrangian and Hamiltonian mechanics, and it should be accessible to, and enjoyable by, a broad spectrum of mathematicians.
For more details see this review by Ian Sneddon, which also covers Walter Thirring's A course in mathematical physics, vol. 1: Classical dynamical systems.