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Billiards: A Genetic Introduction to the Dynamics of Systems with Impacts
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.
Russia Executive Government Encyclopedic Directory Volume 2 Top Government Officials: Strategic Information and Contacts
2011 Updated Reprint. Updated Annually. Russia Executive Government Encyclopedic Directory
Chess Results, 1971-1974
This continuation of a series of comprehensive chronological reference works lists the results of men's chess competitions all over the world--individual and team matches. The present volume covers 1971 through 1974. Entries record location and, when available, the group that sponsored the event. First and last names of players are included whenever possible and are standardized for easy reference. Compiled from contemporary sources such as newspapers, periodicals, tournament records and match books, this work contains 966 tournament cross tables and 148 match scores, and is indexed by events and by players.
Russia Executive Government Encyclopedic Directory
2011 Updated Reprint. Updated Annually. Russia Executive Government Encyclopedic Directory Volume 1
