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Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics
  • Author : V.I. Arnol'd
  • Publsiher : Springer
  • Release : 01 December 2010
  • ISBN : 9781441930873
  • Pages : 520 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKMathematical Methods of Classical Mechanics

Summary:
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.