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Serge Tabachnikov Geometry and Billiards (Paperback) (UK IMPORT)

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Book Title
Geometry and Billiards
Publication Name
Geometry and Billiards
Title
Geometry and Billiards
Author
Serge Tabachnikov
Format
Trade Paperback
EAN
9780821839195
ISBN
9780821839195
Edition
illustrated Edition
Publisher
American Mathematical Society
Genre
Science Nature & Math
Subject
Geometry / General, Pool, Billiards, Snooker, Calculus
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
Subject Area
Sports & Recreation, Mathematics
Number of Pages
176 Pages

Over dit 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

Author
Serge Tabachnikov
Publication Name
Geometry and Billiards
Format
Trade Paperback
Language
English
Subject
Geometry / General, Pool, Billiards, Snooker, Calculus
Publication Year
2005
Series
Student Mathematical Library
Type
Textbook
Subject Area
Sports & Recreation, Mathematics
Number of Pages
176 Pages

Dimensions

Item Weight
8.4 Oz

Additional Product Features

LCCN
2005-048181
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
Dewey Decimal
516
Dewey Edition
22
Illustrated
Yes

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