Mathematical Methods of Classical Mechanics: 60 (Graduate Texts in Mathematics) - Softcover

Arnol'd, V.I.

Softcover

ISBN 10: 1441930876 ISBN 13: 9781441930873

Verlag: Springer, 2010

Inhaltsangabe

This text begins with the basic facts of classical mechanics and proceeds to examine many important questions in dynamics. This modern approach, based on the theory of the geometry of manifolds, distinguishes itself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout.

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Críticas

Second Edition

V.I. Arnol’d

Mathematical Methods of Classical Mechanics

"The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising . . . The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview."

―AMERICAN MATHEMATICAL MONTHLY

Reseña del editor

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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• ISBN 10: 1441930876
• ISBN 13: 9781441930873
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 540
• Kontakt zum Hersteller: Nicht verfügbar