Mathematical Methods of Classical Mechanics
Download or Read eBook Mathematical Methods of Classical Mechanics PDF written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 530 pages. Available in PDF, EPUB and Kindle.
Author | : V.I. Arnol'd |
Publisher | : Springer Science & Business Media |
Total Pages | : 530 |
Release | : 2013-04-09 |
ISBN-10 | : 9781475720631 |
ISBN-13 | : 1475720637 |
Rating | : 4/5 (31 Downloads) |
Book Synopsis Mathematical Methods of Classical Mechanics by : V.I. Arnol'd
Book excerpt: 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.