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Billiards

Billiards A Genetic Introduction to the Dynamics of Systems With Impacts - Translations of Mathematical Monographs

Hardback (30 Jul 1991)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821845509
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 515.352
DEWEY edition: 20
Language: English
Number of pages: 171
Weight: 482g
Height: 260mm
Width: 184mm
Spine width: 19mm