Mathematical Methods of Classical Mechanics

V. I. Arnol'd

ISBN 10: 1441930876 / ISBN 13: 9781441930873

Verlag: Springer New York, Springer New York Dez 2010, 2010

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 536 pp. Englisch.

Bestandsnummer des Verkäufers 9781441930873

Bibliografische Details

• Titel: Mathematical Methods of Classical Mechanics
• Verlag: Springer New York, Springer New York Dez 2010
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 1441930876
• ISBN-13: 9781441930873
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

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.

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