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Geometry and Billiards
Serge Tabachnikov
€ 60.38
€ 55.84
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Description for Geometry and Billiards
Paperback. 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. Series: Student Mathematical Library. Num Pages: 176 pages, Illustrations. BIC Classification: PBM; PBW; WSJZ. Category: (P) Professional & Vocational. Weight in Grams: 242.
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 billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely ... Read more
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 billiard motion, symplectic geometry of rays of light and integral geometry, existence and nonexistence of caustics, optical properties of conics and quadrics and completely ... Read more
Product Details
Publisher
American Mathematical Society United States
Number of pages
176
Format
Paperback
Publication date
2005
Series
Student Mathematical Library
Condition
New
Weight
242g
Number of Pages
176
Place of Publication
Providence, United States
ISBN
9780821839195
SKU
V9780821839195
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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