Mathematical Methods of Classical Mechanics - Couverture rigide

Arnold, V. I.; Arnold, V.I.

Couverture rigide

ISBN 10 : 3540968903 ISBN 13 : 9783540968900

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1989

Synopsis

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.

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 1989
• Langue: anglais
• ISBN 10: 3540968903
• ISBN 13: 9783540968900
• Reliure: Relié
• Nombre de pages: 524
• Coordonnées du fabricant: Springer-Verlag GmbH; customerservice@springernature.com; ; Tiergartenstraße 17; Heidelberg; Baden-Württemberg; 69121; Allemagne