Geometry and Billiards (Student Mathematical Library)
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Description
ISBN: 0821839195
Title: Geometry and Billiards (Student Mathematical Library)
Author: Serge Tabachnikov
Publisher: American Mathematical Society
Publication Date: 2005-09
Number Of Pages: 176
1.0 Mb pdf
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections off the boundary or, equivalently, the behavior of rays of light in a domain with ideally reflecting boundary. From the point of view of differential geometry, the billiard flow is the geodesic flow on a manifold with boundary. This book is devoted to billiards in their relation with differential geometry, classical mechanics, and geometrical optics. Topics covered include variational principles of ..
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