Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) (Graduate Texts in Mathematics, 60)
ISBN-13:
9780387968902
ISBN-10:
0387968903
Edition:
2nd
Author:
V. I. Arnold
Publication date:
1989
Publisher:
Springer
Format:
Hardcover
536 pages
Category:
Civil & Environmental
,
Engineering
,
Mechanical
,
Applied
,
Mathematics
,
Mathematical Analysis
,
Pure Mathematics
,
Mathematical Physics
,
Physics
,
Mechanics
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Book details
ISBN-13:
9780387968902
ISBN-10:
0387968903
Edition:
2nd
Author:
V. I. Arnold
Publication date:
1989
Publisher:
Springer
Format:
Hardcover
536 pages
Category:
Civil & Environmental
,
Engineering
,
Mechanical
,
Applied
,
Mathematics
,
Mathematical Analysis
,
Pure Mathematics
,
Mathematical Physics
,
Physics
,
Mechanics
Summary
Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60) (Graduate Texts in Mathematics, 60) (ISBN-13: 9780387968902 and ISBN-10: 0387968903), written by authors
V. I. Arnold, was published by Springer in 1989.
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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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