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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:   eBook : Document : English : 3rd [rev. and exp.] edView all editions and formats
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Arnolʹd, V.I. (Vladimir Igorevich), 1937-
Mathematical aspects of classical and celestial mechanics.
Berlin ; New York : Springer, 2006
(DLC) 2006929597
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V I Arnolʹd; V V Kozlov; A I Neĭshtadt
ISBN: 9783540282464 3540282467 3540489266 9783540489269
OCLC Number: 228395762
Description: 1 online resource (xiii, 518 pages) : illustrations.
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.
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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