Mathematical Methods of Classical Mechanics (Graduate texts in mathematics)
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Language: English
Published by Springer-Verlag, 1978
- Hardcover
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- Title
- Mathematical Methods of Classical Mechanics (Graduate texts in mathematics)
- Author
- Vladimir Igorevich Arnold
- Publisher
- Springer-Verlag
- Publication year
- 1978
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387903143
- ISBN 13
- 9780387903149
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.
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Language Notes
Text: English, Russian (translation)
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