Knots and Surfaces~tqw~_darksiderg

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INFO
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Title................: Knots and Surfaces
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 9.36 MB
Torrent Hash.........: 4729B07FC20395F48765DE5452C00312361584C0
Posted by............: ~tqw~

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CONTENTS
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Knots and Surfaces~tqw~_darksiderg preview 0
Synopsis:
This highly readable text details the interaction between the mathematical
theory of knots and the theories of surfaces and group presentations. It
expertly introduces several topics critical to the development of pure
mathematics while providing an account of math "in action" in an unusual
context. Beginning with a simple diagrammatic approach to the study of knots
that reflects the artistic and geometric appeal of interlaced forms, Knots
and Surfaces takes the reader through recent research advances. Topics
include topological spaces, surfaces, the fundamental group, graphs, free
groups, and group presentations. The authors skillfully combine these topics
to form a coherent and highly developed theory to explore and explain the
accessible and intuitive problems of knots and surfaces to students and
researchers in mathematics.

Table Of Contents:
1 Knots, links, and diagrams 1
2 Knot and link polynomials 19
3 Topological spaces 42
4 Surfaces 55
5 The arithmetic of knots 96
6 Presentations of groups 111
7 Graphs and trees 163
8 Alexander matrices and Alexander polynomials 178
9 The fundamental group 197
10 Van Kampen's theorem 212
11 Applications of the Van Kampen theorem 224
12 Covering spaces 250
Bibliography 264
Index 266

Product Details:
* ISBN: 0198514905
* ISBN-13: 9780198514909
* Format: Textbook Paperback, 280pp
* Publisher: Oxford University Press
* Pub. Date: February 1996
* Edition Description: REPRINT
* Edition Number: 1

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Greetz Fellow UL'ers
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