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Mathematical Methods of Classical Mechanics
by K. Vogtmann and A. Weinstein and V. I. Arnol'd


Overview - In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism.  Read more...

 
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More About Mathematical Methods of Classical Mechanics by K. Vogtmann; A. Weinstein; V. I. Arnol'd
 
 
 
Overview
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.


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Details
  • ISBN-13: 9780387968902
  • ISBN-10: 0387968903
  • Publisher: Springer
  • Publish Date: September 1997
  • Page Count: 520

Series: Graduate Texts in Mathematics #146

Related Categories

Books > Mathematics > Applied
Books > Science > Mechanics - General
Books > Technology > Mechanical

 
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