Vogtmann K. Mathematical Methods of Classical Mechanics

Updated version of a classic text (first published 1974 in Russian, and 1978 in English translation) by a man who for several decades has been universally acknowledged to stand at the forefront of the effort to clarify the deep mathematical problems to which classical mechanics gives rise, and who h...

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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.

Topplisten: Springer-Verlag New York Inc. Matematikk og naturfag

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