HOW SURFACES INTERSECT IN SPACE: AN INTRODUCTION TO TOPOLOGY. Second edition. Series on Knots and Everything Volume 2
Language: English
Published by World Scientific Publishing Company, 1995
- Softcover
- Used
Seller: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.Zubal-Books, Since 1961
AbeBooks seller since July 12, 1996
Condition: Used - Very good
£ 15.55
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2nd edition, 338 pp., previous owner's name to half-title page else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Seller Inventory # ZB1342651
- Title
- HOW SURFACES INTERSECT IN SPACE: AN INTRODUCTION TO TOPOLOGY. Second edition. Series on Knots and Everything Volume 2
- Author
- Carter, J Scott
- Publisher
- World Scientific Publishing Company
- Publication year
- 1995
- Condition
- Very Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 9810220669
- ISBN 13
- 9789810220662
- Edition
- 2nd Edition
This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. The first chapter discusses the meaning of surface and space and gives the classification of orientable surfaces. In the second chapter we are introduced to the Möbius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary. Basic applications to knot theory are discussed and four-dimensional space is introduced.
In Chapter 4 we learn about some 3-dimensional spaces and surfaces that sit inside them. These surfaces help us imagine the structures of the larger space.
Chapter 5 is completely new! It contains recent results of Cromwell, Izumiya and Marar. One of these results is a formula relating the rank of a surface to the number of triple points. The other major result is a collection of examples of surfaces in 3-space that have one triple point and 6 branch points. These are beautiful generalizations of the Steiner Roman surface.
Chapter 6 reviews the movie technique for examining surfaces in 4-dimensional space. Various movies of the Klein bottle are presented, and the Carter-Saito movie move theorem is explained. The author shows us how to turn the 2-sphere inside out by means of these movie moves and this illustration alone is well worth the price of the book!
In the last chapter higher dimensional spaces are examined from an elementary point of view.
This is a guide book to a wide variety of topics. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.
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Zubal-Books, Since 1961
Cleveland, OH, U.S.A.
AbeBooks seller since July 12, 1996
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