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Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60)

V. I. Arnold




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 | #482277 in Books |  1997-09-05 | Original language:English | PDF # 1 |  9.21 x1.19 x6.14l,1.97 | File type: PDF | 520 pages

||3 of 3 people found the following review helpful.| Reveals "hidden" structures in Mechanics, Main interests are the Appendices|By Polymath Virtuoso|This book written by the great Geometric mechanic provides a firm and stable introduction and reference for mathematicians and physicists of Geometric mechanics. Arnold begins the book with a brief introduction to Newtonian mechanics and develops onto Lagrangian and Hamiltonian form| ||Second Edition |V.I. Arnol’d |Mathematical Methods of Classical Mechanics |"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of hist

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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