Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, 60, Band 60) - Hardcover

Buch 124 von 180: Graduate Texts in Mathematics

Arnol'd, V.I.

 
9780387968902: Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, 60, Band 60)
Hardcover
ISBN 10: 0387968903 ISBN 13: 9780387968902
Verlag: Springer, 1989

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
1989
Sprache
Englisch
ISBN 10 
0387968903
ISBN 13 
9780387968902
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
536
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Softcover