Mathematical Aspects of Classical and Celestial Mechanics

Vladimir I. Arnold

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Language: English

Published by Springer Berlin Heidelberg Nov 2010, 2010

364206647X / 9783642066474

Series: Book 41 of 47 - Encyclopaedia of Mathematical Sciences

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -In this book we describe the basic principles, problems, and methods of cl- sical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth rst and foremost the 'working' apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated. 536 pp. Englisch.…

Seller Inventory # 9783642066474

Title
Mathematical Aspects of Classical and Celestial Mechanics
Author
Vladimir I. Arnold
Publisher
Springer Berlin Heidelberg Nov 2010
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
364206647X
ISBN 13
9783642066474
Item weight
803 grams
Dimensions
235x155x29 mm
Series
Book 41 of 47: Encyclopaedia of Mathematical Sciences

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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