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Billiards: a Genetic Introduction to the Dynamics of Systems with Impacts (Translations of Mathematical Monographs) - Tapa dura

American Mathematical Society

 
9780821845509: Billiards: a Genetic Introduction to the Dynamics of Systems with Impacts (Translations of Mathematical Monographs)
Tapa dura
ISBN 10: 0821845500 ISBN 13: 9780821845509
Editorial: American Mathematical Society, 1991

Sinopsis

Clarifies the basic theories of dynamical systems with impact interactions, demonstrating that they are natural and effective. Focuses on the recently devised limit theorems, which justify various mathematical models of impact theory. Translated from the Russian. Annotation copyright Book News, Inc. Portland, Or.

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Reseña del editor

Starting with the work of G D Birkhoff, billiards have been a popular research topic drawing on such areas as ergodic theory, Morse theory, and KAM theory. Billiard systems are also remarkable in that they arise naturally in a number of important problems of mechanics and physics. This book is devoted to mathematical aspects of the theory of dynamical systems of billiard type. Focusing on the genetic approach, the authors strive to clarify the genesis of the basic ideas and concepts of the theory of dynamical systems with impact intereactions and also to demonstrate that these methods are natural and effective. Recent limit theorems, which justify various mathematical models of impact theory, are key features. Questions of existence and stability of periodic trajectories of elastic billiards occupy a special place in the book, and considerable attention is devoted to integrable billiards. A brief survey is given of work on billiards with ergodic behaviour. Each chapter ends with a list of problems.

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Editorial
American Mathematical Society
Año de publicación
1991
Idioma
Inglés
ISBN 10 
0821845500
ISBN 13 
9780821845509
Encuadernación
Tapa dura
Contacto del fabricante
no disponible
Persona responsable
no disponible