Acknowledged author V. I. Arnold wrote Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) comprising 520 pages back in 1997. Textbook and etextbook are published under ISBN 0387968903 and 9780387968902. Since then Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) textbook was available to sell back to BooksRun online for the top buyback price of $8.07 or rent at the marketplace.
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.