#DIFFERENTIAL GEOMETRY BOOKS PLUS#
Calculus: Early Transcendentals, Books a la Carte Plus MyLab Math/MyLab. Arnold's Mathematical Methods of Classical Mechanics is a classic and concise text that is a must-have reference for those with an interest in the mathematical physics of classical mechanics. Differential Geometry Erwin Kreyszig Apr 2013 I am currently brushing up on my differential geometry knowledge by working.Theres also a pretty recent text by Godinho, Natario on Riemannian geometry and applications to classical mechanics and some SR and GR. Fasano and Marmi's Analytical Mechanics, which contains some good chapters on statistical mechanics, chaos and ergodic theory in addition to classical mechanics built from the ground-up. Also, there are some differential geometry books which treat applications to physics, for example the book by W.D.Curtis on differential geometry and theoretical physics.It contains several historical and philosophical nuggets that would also give the working mathematician a rough idea about how physicists think about and approach a problem. Spivak's Physics for Mathematicians: Mechanics I which covers classical mechanics from the ground-up using the language of differential geometry.
Perhaps one of the nicest differential geometric accounts on classical mechanics, written by a mathematician and for mathematicians is, This book treats the fundamentals of differential geometry: manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de.
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