0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Topology

Buy Now

How Surfaces Intersect In Space: An Introduction To Topology (2nd Edition) (Hardcover, 2nd Revised edition) Loot Price: R1,940
Discovery Miles 19 400
How Surfaces Intersect In Space: An Introduction To Topology (2nd Edition) (Hardcover, 2nd Revised edition): J. Scott Carter

How Surfaces Intersect In Space: An Introduction To Topology (2nd Edition) (Hardcover, 2nd Revised edition)

J. Scott Carter

Series: Series on Knots & Everything, 2

 (sign in to rate)
Loot Price R1,940 Discovery Miles 19 400 | Repayment Terms: R182 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

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 Moebius 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.

General

Imprint: World Scientific Publishing Co Pte Ltd
Country of origin: Singapore
Series: Series on Knots & Everything, 2
Release date: May 1995
First published: May 1995
Authors: J. Scott Carter
Dimensions: 220 x 152 x 23mm (L x W x T)
Format: Hardcover
Pages: 338
Edition: 2nd Revised edition
ISBN-13: 978-981-02-2082-2
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
Books > Science & Mathematics > Mathematics > Topology > General
Promotions
LSN: 981-02-2082-0
Barcode: 9789810220822

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Geometry - Bundles…
Clifford Henry Taubes Hardcover R4,015 Discovery Miles 40 150
Michael Atiyah Collected Works - Volume…
Michael Atiyah Hardcover R9,656 Discovery Miles 96 560
Cyclic Modules and the Structure of…
S.K. Jain, Ashish K. Srivastava, … Hardcover R5,490 Discovery Miles 54 900
Riemann Surfaces
Simon Donaldson Hardcover R4,199 Discovery Miles 41 990
Undergraduate Topology - A Working…
Aisling McCluskey, Brian McMaster Hardcover R2,187 Discovery Miles 21 870
Traces and Determinants of…
Simon Scott Hardcover R3,872 Discovery Miles 38 720
New Foundations for Physical Geometry…
Tim Maudlin Hardcover R3,395 Discovery Miles 33 950
Gromov-Witten Theory of Quotients of…
Hiroshi Iritani, Todor Milanov, … Paperback R2,210 Discovery Miles 22 100
Hyperskew Polyhedra - Being the Ninth…
Patrick Taylor Paperback R269 Discovery Miles 2 690
Topology - Pearson New International…
James Munkres Paperback R2,297 Discovery Miles 22 970
Groups and Topological Dynamics
Volodymyr Nekrashevych Paperback R2,257 Discovery Miles 22 570
Math Girls 6 - The Poincare Conjecture
Hiroshi Yuki Hardcover R883 Discovery Miles 8 830

See more

Partners