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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    View other formats and editions of Geometry and Billiards by Serge Tabachnikov

    Publisher: MP-AMM American Mathematical
    Publication Date: 9/30/2005 12:00:00 AM
    ISBN13: 9780821839195, 978-0821839195
    ISBN10: 0821839195
    Also in:
    Applied mathematics Snooker, billiards, pool

    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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