Verwandte Artikel zu Integrable Problems of Celestial Mechanics in Spaces...
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature: 295 (Astrophysics and Space Science Library) - Hardcover
Inhaltsangabe
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.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
EUR 47,51
EUR 14,96 für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerNeu kaufen
Diesen Artikel anzeigen
EUR 116,23
EUR 13,85 für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Integrable Problems of Celestial Mechanics in Spaces...
Beispielbild für diese ISBN
Astrophysics and Space Science Library: Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Volume 295)
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: 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. Artikel-Nr. 9890176
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature: 295 (Astrophysics and Space Science Library, 295)
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: 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. Artikel-Nr. 5843929
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In. Artikel-Nr. ria9781402015212_new
Anzahl: Mehr als 20 verfügbar
Beispielbild für diese ISBN
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature (Astrophysics and Space Science Library, 295, Band 295) [Hardcover] Vozmischeva, T.G.
Anbieter: SpringBooks, Berlin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good. Unread, with a mimimum of shelfwear. Immediately dispatched from Germany. Artikel-Nr. CEA-2311C-GRILLE-03-1000XS
Anzahl: 1 verfügbar
Foto des Verkäufers
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
Verlag:
Springer Netherlands, Springer Netherlands Okt 2003, 2003
ISBN 10: 1402015216
ISBN 13: 9781402015212
Neu
Hardcover
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 200 pp. Englisch. Artikel-Nr. 9781402015212
Anzahl: 2 verfügbar
Foto des Verkäufers
Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature
Verlag:
Springer Netherlands, Springer Netherlands, 2003
ISBN 10: 1402015216
ISBN 13: 9781402015212
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9781402015212
Anzahl: 1 verfügbar