Mathematical Methods of Classical Mechanics
V.I. Arnol’d
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.
Categories:
Year:
1989
Publisher:
Springer
Language:
english
Pages:
525
ISBN 10:
1441930876
ISBN 13:
9781441930873
Series:
Graduate Texts in Mathematics
File:
DJVU, 15.51 MB
IPFS:
,
english, 1989
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