Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
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Language: English
Published by Springer, 1989
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- New
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- Title
- Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)
- Author
- V. I. Arnold
- Publisher
- Springer
- Publication year
- 1989
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387968903
- ISBN 13
- 9780387968902
- Edition
- 2nd Edition
- Series
- Book 124 of 180: Graduate Texts in Mathematics
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.
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Language Notes
Text: English (translation)
Original Language: Russian
Original Language: Russian
"About the title" may belong to another edition of this title.
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