#marketplace, .navbar, .container, .container-fluid, #media, #category, #ewards, #careers, .blueHeroSearchContainer, #photoHeroBanner, #etextbooks-page-2015, .slider-arrow, #books-page-2015, #my-account-wrapper-2015 {display:none;} .noscriptmsg p, .noscriptmsg h1 {color: #000;} body {background-color: #ccc !important; font-size: 14px; }

We're sorry, but eCampus.com doesn't work properly without JavaScript.

Either your device does not support JavaScript or you do not have JavaScript enabled.

How to enable JavaScript in your browser.

Need help? Call 1-855-252-4222

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Geometry and Billiards

Name: Geometry and Billiards
Price: $43.96 USD
Availability: InStock
Author: Tabachnikov, Serge
ISBN: 9780821839195

by Tabachnikov, Serge

ISBN13: 9780821839195
ISBN10: 0821839195
Format: Paperback
Copyright: 2005-09-28
Publisher: Amer Mathematical Society

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Your order must be $59 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
1. Geometry and Billiards > ISBN13: 9780821839195

List Price: ~~$44.00~~ Save up to $12.65

Rent Book $31.35

Free Shipping

Rent Textbook Options

TERM

PRICE

DUE

Short Term

$29.70

Jan 4

Semester

$33.00

Jan 4

Quarter

$31.35

Dec 18

USUALLY SHIPS IN 3-5 BUSINESS DAYS

*This item is part of an exclusive publisher rental program and requires an additional convenience fee. This fee will be reflected in the shopping cart.

Buy New
$43.96

Add to Cart

USUALLY SHIPS IN 3-5 BUSINESS DAYS

How To: Textbook Rental

Looking to rent a book? Rent Geometry and Billiards [ISBN: 9780821839195] for the semester, quarter, and short term or search our site for other textbooks by Tabachnikov, Serge. Renting a textbook can save you up to 90% from the cost of buying.

Summary

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. This volume has been copublished with the Mathematics Advanced Study Semesters program at Penn State.

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
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Rent More, Save More! Use code: ECRENTAL

Rent More, Save More! Use code: ECRENTAL

5% off 1 book, 7% off 2 books, 10% off 3+ books

Geometry and Billiards

How To: Textbook Rental

Summary

Table of Contents

Supplemental Materials

Rewards Program