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Geometry and Billiards

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Geometry and Billiards
Serge Tabachnikov

Table of Contents

Chapter 1. Motivation: Mechanics and Optics

Chapter 2. Billiard in the Circle and the Square

Chapter 3. Billiard Ball Map and Integral Geometry

Chapter 4. Billiards inside Conics and Quadrics

Chapter 5. Existence and Non-existence of Caustics

Chapter 6. Periodic Trajectories

Chapter 7. Billiards in Polygons

Chapter 8. Chaotic Billiards

Chapter 9. Dual Billiards

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