Overview

A guide to the calculation of elementary geometric topology, where geometry guides the calculation. The book starts with a wealth of examples of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces, such as the Klein bottle, the book explores the properties of polyhedra drawn on these surfaces. Even in the simplest case, of spherical polyhedra, there are good questions to be asked. More refined tools are developed in a chapter on winding number, and an appendix gives a glimpse of knot theory. There are many examples and exercises making this a useful textbook for a first undergraduate course in topology. For much of the book the prerequisites are slight, though, so anyone with curiosity and tenacity should be able to enjoy the book. As well as arousing curiosity, the book gives a firm geometrical foundation for further study.

ISBN-13

9781852333775

ISBN-10

1852333774

Weight

0.65 Pounds

Dimensions

6.50 x 0.50 x 9.00 In

List Price

$39.95

Edition

1st Edition

Format

Paperback

Pages

ix, 166 pages

Publisher

Springer

Published On

2001-04-20



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