Detail Book : Mathematical Methods of Classical Mechanics written by V.I. Arnol'd, published by Springer Science & Business Media which was released on 09 April 2013. Download Mathematical Methods of Classical Mechanics Books now! Available in PDF, ePub and Kindle. This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.