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Mathematical Methods of Classical Mechanics

✍ Scribed by V. I. Arnold, A. Weinstein, K. Vogtmann

Publisher
Springer, Berlin
Year
1989
Tongue
English
Leaves
536
Series
Graduate Texts in Mathematics
Edition
2 Sub
Category
Library
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✦ Synopsis

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 approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

πŸ“œ SIMILAR VOLUMES

Mathematical Methods of Classical Mechan
πŸ“ Mathematical Methods of Classical Mechanics
✍ V. I. Arnold, A. Weinstein, K. Vogtmann πŸ“‚ Library πŸ“… 1989 πŸ› Springer 🌐 English

This book is an excellent introduction to the world of classical physics for NON-PHYSICISTS. While some physicists will no doubt find it accessible, there is considerable reduction of physical concepts in order to get to the heart of the ideas underlying the formalism. Also, the material goes beyo

Mathematical Methods of Classical Mechan
πŸ“ Mathematical Methods of Classical Mechanics
✍ V. I. Arnold, A. Weinstein, K. Vogtmann πŸ“‚ Library πŸ“… 1989 πŸ› Springer 🌐 English

This book is an excellent introduction to the world of classical physics for NON-PHYSICISTS. While some physicists will no doubt find it accessible, there is considerable reduction of physical concepts in order to get to the heart of the ideas underlying the formalism. Also, the material goes beyo

Mathematical Methods of Classical Mechan
πŸ“ Mathematical Methods of Classical Mechanics
✍ V.I. Arnol’d πŸ“‚ Library πŸ“… 1989 πŸ› Springer 🌐 English

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