Mathematical Methods of Classical Mechanics

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Science, Physics, Mathematical Physics
Cover of the book Mathematical Methods of Classical Mechanics by V.I. Arnol'd, Springer New York
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Author: V.I. Arnol'd ISBN: 9781475720631
Publisher: Springer New York Publication: April 9, 2013
Imprint: Springer Language: English
Author: V.I. Arnol'd
ISBN: 9781475720631
Publisher: Springer New York
Publication: April 9, 2013
Imprint: Springer
Language: English
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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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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