Mathematical Methods of Classical Mechanics

Released on by V.I. Arnol'd
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  • Mathematical Methods of Classical Mechanics Book Detail

  • Author : V.I. Arnol'd
  • Release Date : 2013-04-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 530
  • ISBN 13 : 1475720637
  • File Size : 49,49 MB
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Mathematical Methods of Classical Mechanics by V.I. Arnol'd PDF Summary

Book Description: 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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