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Mathematical aspects of classical and celestial mechanics

Author: V I Arnolʹd; V V Kozlov; A I Neĭshtadt
Publisher: Berlin ; New York : Springer, 2006.
Series: Encyclopaedia of mathematical sciences, v. 3.; Dinamicheskie sistemy., 3.
Edition/Format:   Print book : English : 3rd [rev. and exp.] edView all editions and formats
Database:WorldCat
Summary:
Describes the fundamental principles, problems, and methods of classical mechanics. This book devotes its attention to the mathematical side of the subject. It aims to acquaint the reader with classical mechanics as a whole, in both its classical and its contemporary aspects.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V I Arnolʹd; V V Kozlov; A I Neĭshtadt
ISBN: 9783540282464 3540282467
OCLC Number: 65166678
Description: xiii, 518 pages : illustrations ; 24 cm.
Contents: 1 Basic Principles of Classical Mechanics * 2 The n-Body Problem * 3 Symmetry Groups and Order Reduction * 4 Variational Principles and Methods * 5 Integrable Systems and Integration Methods * 6 Perturbation Theory for Integrable Systems * 7 Non-Integrable Systems * 8 Theory of Small Oscillations * 9 Tensor Invariants of Equations of Dynamics * References.
Series Title: Encyclopaedia of mathematical sciences, v. 3.; Dinamicheskie sistemy., 3.
Other Titles: Matematicheskie aspekty klassicheskoĭ i nebesnoĭ mekhaniki.
Responsibility: Vladimir I. Arnold, Valery V. Kozlov, Anatoly I. Neishtadt.
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Abstract:

In its expanded and improved 3rd edition, this work describes the fundamental principles, problems, and methods of classical mechanics. The authors stress the working apparatus of classical  Read more...

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From the reviews of the previous editions: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The Read more...

 
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