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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      Book details

      Publisher American Mathematical Society
      Published 9/30/2005 12:00:00 AM
      ISBN-13 9780821839195
      978-0821839195
      ISBN-10 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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