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Serge Tabachnikov Geometry and Billiards (Paperback) (UK IMPORT)
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eBay item number:276290056603
Item specifics
- Condition
- Book Title
- Geometry and Billiards
- Publication Name
- Geometry and Billiards
- Title
- Geometry and Billiards
- Format
- Trade Paperback
- EAN
- 9780821839195
- ISBN
- 9780821839195
- Edition
- illustrated Edition
- Publisher
- American Mathematical Society
- Genre
- Science Nature & Math
- Subject
- Sports & Hobbies
- Release Date
- 30/09/2005
- Release Year
- 2005
- Language
- English
- Country/Region of Manufacture
- US
- Item Weight
- 8.4 Oz
- Series
- Student Mathematical Library
- Publication Year
- 2005
- Type
- Textbook
- Number of Pages
- 176 Pages
About this product
Product Information
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 integrable billiards, periodic billiard trajectories, polygonal billiards, mechanisms of chaos in billiard dynamics, and the lesser-known subject of dual (or outer) billiards.The book is based on an advanced undergraduate topics course. Minimum prerequisites are the standard material covered in the first two years of college mathematics (the entire calculus sequence, linear algebra). However, readers should show some mathematical maturity and rely on their mathematical common sense. A unique feature of the book is the coverage of many diverse topics related to billiards, for example, evolutes and involutes of plane curves, the four-vertex theorem, a mathematical theory of rainbows, distribution of first digits in various sequences, Morse theory, the Poincare recurrence theorem, Hilbert's fourth problem, Poncelet porism, and many others. There are approximately 100 illustrations. The book is suitable for advanced undergraduates, graduate students, and researchers interested in ergodic theory and geometry.
Product Identifiers
Publisher
American Mathematical Society
ISBN-10
0821839195
ISBN-13
9780821839195
eBay Product ID (ePID)
47523120
Product Key Features
Publication Name
Geometry and Billiards
Format
Trade Paperback
Language
English
Publication Year
2005
Series
Student Mathematical Library
Type
Textbook
Number of Pages
176 Pages
Dimensions
Item Weight
8.4 Oz
Additional Product Features
Series Volume Number
30
Lc Classification Number
Qa462.2.G34t33 2005
Table of Content
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.
Copyright Date
2005
Target Audience
Scholarly & Professional
Topic
Geometry / General, Pool, Billiards, Snooker, Calculus
Lccn
2005-048181
Dewey Decimal
516
Dewey Edition
22
Illustrated
Yes
Genre
Sports & Recreation, Mathematics
Item description from the seller
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eBay item number:276290056603
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