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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| Edition | Availability |
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Mathematical methods of classical mechanics
2010, Springer
in English
- 2. ed.
1441930876 9781441930873
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- Created July 5, 2019
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| September 28, 2024 | Edited by MARC Bot | import existing book |
| February 26, 2022 | Edited by ImportBot | import existing book |
| July 5, 2019 | Edited by MARC Bot | import existing book |
| July 5, 2019 | Edited by MARC Bot | import existing book |
| July 5, 2019 | Created by MARC Bot | Imported from Internet Archive item record |