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.
Details Mathematical Methods of Classical Mechanics
Reviews Mathematical Methods of Classical Mechanics
- Mathematical Methods of Classical Mechanics, Vladimir I. Arnold, K. Vogtmann (Translator), A. Weinstein (Translator)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. This modern approach, based on the theory of the geometry of manifolds, distingu...
- I can only recommend to anyone who would like to give further thoughts to physics and mathematics, some serious but very exciting reading. I feel awfully comfortable with Arnold's writing, I must admit... and I do enjoy the fact that I finally have an excuse to include this book - only one chapter, though - in my formal studies, aka thesis.
- Very clean book. Goes very deep too.