Possible Duplicate:
Classical Mechanics for Mathematician
Last time I asked a question, but it does not sound specific. I am currently taking graduate topology class (using Lee's Introduction to Smooth Manifolds), but I am in math program (not in physics), so I might lack physical intuition. Is it better to learn Symplectic geometry first (such as da Silva's Lectures on Symplectic Geometry) then learn mechanics with symplectic geometry emphasis (such as Abraham & Marsden, etc), or is Spivak's Physics book self-contained in terms of both motivation and mechanics in manifold? How about Arnold? Is his physical explanation requires prerequisite in university level physics?
