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Item Details
Title: MATHEMATICAL METHODS OF CLASSICAL MECHANICS
By: V. I. Arnold, K. Vogtmann, A. Weinstein
Format: Hardback

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ISBN 10: 0387968903
ISBN 13: 9780387968902
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Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 16 May, 1989
Edition: 2nd ed. 1989. Corr. 4th printing 1997
Series: Graduate Texts in Mathematics 60
Pages: 520
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. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.
Synopsis: 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.
Illustrations: XVI, 520 p.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Returnable
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DYNAMICS, STATISTICS AND PROJECTIVE GEOMETRY OF GALOIS FIELDS (PB)
ELEVEN PAPERS ON ANALYSIS (HB)
ELEVEN PAPERS ON NUMBER THEORY, ALGEBRA AND FUNCTIONS OF A COMPLEX VARIABLE (HB)
EXPERIMENTAL MATHEMATICS (PB)
FOURTEEN PAPERS ON FUNCTIONAL ANALYSIS AND DIFFERENTIAL EQUATIONS (HB)
FOURTEEN PAPERS TRANSLATED FROM THE RUSSIAN (HB)
GEOMETRICAL METHODS IN THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS (HB)
GEOMETRICAL METHODS IN THE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS (PB)
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HUYGENS AND BARROW, NEWTON AND HOOKE (PB)
LECTURES AND PROBLEMS (PB)
MATHEMATICAL ASPECTS OF CLASSICAL AND CELESTIAL MECHANICS (PB)
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SINGULARITIES OF DIFFERENTIABLE MAPS (PB)
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THE MATHEMATICIAN SOPHUS LIE (HB)
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THIRTEEN PAPERS ON FUNCTIONAL ANALYSIS AND DIFFERENTIAL EQUATIONS (HB)
THIRTY-ONE INVITED ADDRESSES (EIGHT IN ABSTRACT) AT THE INTERNATIONAL CONGRESS OF MATHEMATICIANS IN MOSCOW, 1966 (HB)
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TRANSACTIONS OF THE MOSCOW MATHEMATICAL SOCIETY (HB)

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