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Mathematical Aspects of Classical and Celestial Mechanics, Vladimir I. Arnold; E. Khukhro; Valery V. Kozlov;


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Автор: Vladimir I. Arnold; E. Khukhro; Valery V. Kozlov;
Название:  Mathematical Aspects of Classical and Celestial Mechanics
ISBN: 9783642066474
Издательство: Springer
Классификация:




ISBN-10: 364206647X
Обложка/Формат: Paperback
Страницы: 505
Вес: 0.74 кг.
Дата издания: 13.11.2010
Серия: Encyclopaedia of Mathematical Sciences
Язык: English
Размер: 234 x 156 x 27
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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 mechanics, rather than its physical foundations or applications.


Mathematical Methods of Classical Mechanics

Автор: Arnold V. I.
Название: Mathematical Methods of Classical Mechanics
ISBN: 0387968903 ISBN-13(EAN): 9780387968902
Издательство: Springer
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Цена: 7819.00 р.
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Описание: This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Celestial Mechanics and Astrodynamics: Theory and Practice

Автор: Gurfil
Название: Celestial Mechanics and Astrodynamics: Theory and Practice
ISBN: 3662503689 ISBN-13(EAN): 9783662503683
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This volume is designed as an introductory text and reference book for graduate students, researchers and practitioners in the fields of astronomy, astrodynamics, satellite systems, space sciences and astrophysics. The purpose of the book is to emphasize the similarities between celestial mechanics and astrodynamics, and to present recent advances in these two fields so that the reader can understand the inter-relations and mutual influences. The juxtaposition of celestial mechanics and astrodynamics is a unique approach that is expected to be a refreshing attempt to discuss both the mechanics of space flight and the dynamics of celestial objects. “Celestial Mechanics and Astrodynamics: Theory and Practice” also presents the main challenges and future prospects for the two fields in an elaborate, comprehensive and rigorous manner. The book presents homogenous and fluent discussions of the key problems, rendering a portrayal of recent advances in the field together with some basic concepts and essential infrastructure in orbital mechanics. The text contains introductory material followed by a gradual development of ideas interweaved to yield a coherent presentation of advanced topics.

Modern Celestial Mechanics: From Theory to Applications

Автор: Alessandra Celletti; Sylvio Ferraz-Mello; Jacques
Название: Modern Celestial Mechanics: From Theory to Applications
ISBN: 9048160782 ISBN-13(EAN): 9789048160785
Издательство: Springer
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Цена: 26120.00 р.
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Описание: Proceedings of the Third Meeting on Celestial Mechanics - Celmec III, held in Rome, Italy, 18-22 June 2001

Linear and Regular Celestial Mechanics

Автор: Eduard L. Stiefel; Gerhard Scheifele
Название: Linear and Regular Celestial Mechanics
ISBN: 3642650295 ISBN-13(EAN): 9783642650291
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Besides the possibility of the mutual fruitful interaction between celestial and oscillatory mechanics which is thereby created, our linear differential equations are as a result everywhere regular.

New Advances in Celestial Mechanics and Hamiltonian Systems

Автор: Joaqu?n Delgado; Ernesto A. Lacomba; Jaume Llibre;
Название: New Advances in Celestial Mechanics and Hamiltonian Systems
ISBN: 1461347785 ISBN-13(EAN): 9781461347781
Издательство: Springer
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Цена: 20962.00 р.
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Описание: The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects.

Mathematical Physics: Classical Mechanics

Автор: Andreas Knauf; Jochen Denzler
Название: Mathematical Physics: Classical Mechanics
ISBN: 366255772X ISBN-13(EAN): 9783662557723
Издательство: Springer
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Цена: 11878.00 р.
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Описание: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior.

IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method

Автор: Tadeusz Burczynski
Название: IUTAM/IACM/IABEM Symposium on Advanced Mathematical and Computational Mechanics Aspects of the Boundary Element Method
ISBN: 9048157374 ISBN-13(EAN): 9789048157372
Издательство: Springer
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Цена: 45979.00 р.
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Описание: held in Cracow, Poland, 31 May-3 June 1999

Stability and Chaos in Celestial Mechanics

Автор: Alessandra Celletti
Название: Stability and Chaos in Celestial Mechanics
ISBN: 3642261566 ISBN-13(EAN): 9783642261565
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This overview of classical celestial mechanics focuses the interplay with dynamical systems. Paradigmatic models introduce key concepts - order, chaos, invariant curves and cantori - followed by the investigation of dynamical systems with numerical methods.

Stability and Chaos in Celestial Mechanics

Автор: Alessandra Celletti
Название: Stability and Chaos in Celestial Mechanics
ISBN: 3540851453 ISBN-13(EAN): 9783540851455
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Presents classical celestial mechanics and its interplay with dynamical systems. This work uses paradigmatic models, such as the logistic map or the standard map, to introduce the reader to the concepts of order, chaos, invariant curves, and cantori. It approaches the study of collisions in the solar system through regularization theory.

The Geometry of Celestial Mechanics

Автор: Geiges
Название: The Geometry of Celestial Mechanics
ISBN: 1107125405 ISBN-13(EAN): 9781107125407
Издательство: Cambridge Academ
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Цена: 13464.00 р.
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Описание: A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numerous exercises and extensive historical notes also support self-study.

The Geometry of Celestial Mechanics

Автор: Geiges
Название: The Geometry of Celestial Mechanics
ISBN: 1107564808 ISBN-13(EAN): 9781107564800
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numerous exercises and extensive historical notes also support self-study.

Celestial Mechanics / The Waltz of the Planets

Автор: Celletti Alessandra, Perozzi Ettore
Название: Celestial Mechanics / The Waltz of the Planets
ISBN: 038730777X ISBN-13(EAN): 9780387307770
Издательство: Springer
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Цена: 3487.00 р.
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Описание: The common perception of Celestial Mechanics is that of a discipline which needs advanced mathematics and astronomy to be understood. Yet modern Celestial Mechanics has a rather different taste and a truly interdisciplinary nature. The number of celestial objects known to mankind has dramatically increased, the long-awaited presence of extrasolar planets has been eventually detected around other stars, spaceflight dynamics has brought new applications encompassing rocked dynamics, the place-in-orbit of artificial satellites and interplanetary mission design. Solar System exploration has grown as a long term strategy for the construction of a permanent base on the Moon and a manned mission to Mars.The aim of the book is to show to the people at large, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. After giving to the reader the necessary technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System & stellar systems, spaceflight dynamics) play a major role. As an example, spin-orbit resonances can be explained using fractional algebra and subsequently described in action as "cosmic spinning tops". Easily observable effects such as the existence of a "dark side of the Moon" (and of many other satellites) can be compared to the "complete synchronous rotation" achieved by a geostationary telecommunication satellite in order to be always in view of the receiving parabolas on the ground. On longer time scales, the consequences of spin-orbit interaction may dramatically change the evolution of a planet when chaos enters the scene and must be taken into account in searching habitable planets around other stars.


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