Mathematical methods of classical mechanics

Resource Information

The work Mathematical methods of classical mechanics represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Mathematical methods of classical mechanics

Statement of responsibility

V.I. Arnold ; translated by K. Vogtmann and A. Weinstein

Creator

• Arnolʹd, V. I., (Vladimir Igorevich), 1937-2010

Subject

• Mathematik
• Mathematische Methode
• Mathematische Methode
• Mechanics, Analytic
• Mechanics, Analytic
• Mechanics, Analytic
• Mechanik
• Mechanik
• Mekanik, Analitik
• Mécanique analytique
• Mécanique analytique
• Theoretische Mechanik
• mécanique
• mécanique Hamilton
• mécanique Lagrange
• mécanique Newton

Language

• eng
• rus
• eng

Summary

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 approach, based on the theory of the geometry of manifolds, distinguishes itself 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

Member of

• Graduate texts in mathematics, 60
• Matematicheskie metody klassicheskoĭ mekhaniki

Cataloging source

DLC

Illustrations

illustrations

Index

index present

LC call number

QA805

LC item number

.A6813 1989

Literary form

non fiction

Nature of contents

bibliography