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Mathematical Methods of Classical Mechanics (Graduate texts in mathematics) - Hardcover

Vladimir Igorevich Arnold

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9780387903149: Mathematical Methods of Classical Mechanics (Graduate texts in mathematics)

Synopsis

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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