Mathematical Methods of Classical Mechanics - V.I. Arnol'd - Google Books

http://books.google.de/books?id=Pd8-s6rOt_cC&pg=PA5

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism.…