Description

Book Synopsis
Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variational principles of billiard motion, and symplectic geometry of rays of light and integral geometry. It is suitable for students interested in ergodic theory and geometry.

Table of Contents
Motivation: Mechanics and optics Billiard in the circle and the square Billiard ball map and integral geometry Billiards inside conics and quadrics Existence and non-existence of caustics Periodic trajectories Billiards in polygons Chaotic billiards Dual billiards Bibliography Index.

Geometry and Billiards

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    A Paperback by Serge Tabachnikov

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 9/30/2005 12:00:00 AM
      ISBN13: 9780821839195, 978-0821839195
      ISBN10: 0821839195

      Description

      Book Synopsis
      Describes billiards and their relation with differential geometry, classical mechanics, and geometrical optics. This book covers such topics as variational principles of billiard motion, and symplectic geometry of rays of light and integral geometry. It is suitable for students interested in ergodic theory and geometry.

      Table of Contents
      Motivation: Mechanics and optics Billiard in the circle and the square Billiard ball map and integral geometry Billiards inside conics and quadrics Existence and non-existence of caustics Periodic trajectories Billiards in polygons Chaotic billiards Dual billiards Bibliography Index.

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