Mathematical Methods of Classical Mechanics
by V. I. Arnol'd
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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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Mechanics| Edition | Availability |
|---|---|
1
Mathematical Methods of Classical Mechanics
2013, Springer London, Limited
in English
1475720637 9781475720631
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2
Mathematical Methods of Classical Mechanics
1989, Springer-Verlag
in English
- Second edition
3540968903 9783540968900
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Translated from the Russian by K.Vogtmann & A.Weinstein.
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- Created September 19, 2008
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| March 28, 2025 | Edited by ImportBot | Redacting ocaids |
| December 7, 2022 | Edited by ImportBot | import existing book |
| July 16, 2020 | Edited by ImportBot | import existing book |
| May 18, 2017 | Edited by MARC Bot | merge authors |
| September 19, 2008 | Created by ImportBot | Imported from Talis record |