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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature: 295 (Astrophysics and Space Science Library) - Tapa dura
Sinopsis
Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.
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Reseña del editor
Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied.
Reseña del editor
This book combines a most interesting area of study, celestial mechanics, with modern geometrical methods in physics. According to recently developed views and research, one of the basic qualitative characteristics of an integrable Hamiltonian system is a structure of the Liouville foliation. A number of interesting results have been obtained. In particular, some of the constructed topological invariants did not appear in integrable cases investigated by many researchers earlier on. The topology of the isoenergy surfaces is also strongly different from what authors presented before. Some new topological effects in the problems of dynamics on spaces of constant curvature have been discovered. At present there are no other books published in this particular area.
This book is intended for specialists and post-graduate students in celestial mechanics, differential geometry and applications, and Hamiltonian mechanics.
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Astrophysics and Space Science Library: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Volume 295)
Publicado por
Kluwer Academic, 2003
ISBN 10: 1402015216
ISBN 13: 9781402015212
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Condición: Good. Volume 295. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9781402015212. Nº de ref. del artículo: 9890176
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295, Band 295) [Hardcover] Vozmischeva, T.G.
Librería: SpringBooks, Berlin, Alemania
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Hardcover. Condición: Very Good. Unread, with a mimimum of shelfwear. Immediately dispatched from Germany. Nº de ref. del artículo: CEA-2311C-GRILLE-03-1000XS
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature: 295 (Astrophysics and Space Science Library, 295)
Publicado por
Kluwer Academic, 2003
ISBN 10: 1402015216
ISBN 13: 9781402015212
Antiguo o usado
Tapa dura
Librería: Anybook.com, Lincoln, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:9781402015212. Nº de ref. del artículo: 5843929
Cantidad disponible: 1 disponibles
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295)
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Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address. Nº de ref. del artículo: SHUB166127
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INTEGRABLE PROBLEMS OF CELESTIAL MECHANICS IN SPACES OF CONSTANT CURVATURE
Librería: Basi6 International, Irving, TX, Estados Unidos de America
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior . Nº de ref. del artículo: 257051065
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
Publicado por
Springer Netherlands Okt 2003, 2003
ISBN 10: 1402015216
ISBN 13: 9781402015212
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied. 200 pp. Englisch. Nº de ref. del artículo: 9781402015212
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295)
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
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Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295)
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