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.
About V.I. Arnol'd
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Author  :  V.I. Arnol'd 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  23 September 1997 
ISBN  :  0387968903 
EAN  :  9780387968902 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  540 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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