Limit search to available items
Book Cover
E-book
Author Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010.

Title Mathematical aspects of classical and celestial mechanics / Vladimir I. Arnold, Valery V. Kozlov, Anatoly I. Neishtadt
Edition 3rd [rev. and exp.] ed
Published Berlin ; New York : Springer, 2006

Copies

Description 1 online resource (xiii, 518 pages) : illustrations
Series Encyclopaedia of mathematical sciences ; v. 3
Dynamical systems ; 3
Encyclopaedia of mathematical sciences ; v. 3.
Dinamicheskie sistemy. English ; 3.
Contents Basic Principles of Classical Mechanics -- The n-Body Problem -- Symmetry Groups and Order Reduction -- Variational Principles and Methods -- Integrable Systems and Integration Methods -- Perturbation Theory for Integrable Systems -- Non-Integrable Systems -- Theory of Small Oscillations -- Tensor Invariants of Equations of Dynamics
Summary "This work describes the fundamental principles, problems, and methods of classical mechanics. The main attention is devoted to the mathematical side of the subject. The authors have endeavored to give an exposition stressing the working apparatus of classical mechanics. The book is significantly expanded compared to the previous edition. The authors have added two chapters on the variational principles and methods of classical mechanics as well as on tensor invariants of equations of dynamics. Moreover, various other sections have been revised, added or expanded." "The main purpose of the book is to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects. The book addresses all mathematicians, physicists and engineers."--Jacket
Bibliography Includes bibliographical references (pages 475-506) and indexes
Subject Mechanics, Analytic.
Celestial mechanics.
Mécanique analytique.
Mécanique céleste.
Mechanics, Analytic.
Celestial mechanics.
Mecánica analítica
Mecánica celeste
Celestial mechanics
Mechanics, Analytic
Form Electronic book
Author Kozlov, V. V
Neĭshtadt, A. I
ISBN 9783540282464
3540282467
3540489266
9783540489269
6610951632
9786610951635
Other Titles Matematicheskie aspekty klassicheskoĭ i nebesnoĭ mekhaniki. English