Surface Topology ( 3 )

Publication series :3

Author: Firby   P A;Gardiner   C F  

Publisher: Elsevier Science‎

Publication year: 2001

E-ISBN: 9780857099679

P-ISBN(Paperback): 9781898563778

P-ISBN(Hardback):  9781898563778

Subject: O189.2 algebraic topology

Language: ENG

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Description

This updated and revised edition of a widely acclaimed and successful text for undergraduates examines topology of recent compact surfaces through the development of simple ideas in plane geometry. Containing over 171 diagrams, the approach allows for a straightforward treatment of its subject area. It is particularly attractive for its wealth of applications and variety of interactions with branches of mathematics, linked with surface topology, graph theory, group theory, vector field theory, and plane Euclidean and non-Euclidean geometry.

  • Examines topology of recent compact surfaces through the development of simple ideas in plane geometry
  • Contains a wealth of applications and a variety of interactions with branches of mathematics, linked with surface topology, graph theory, group theory, vector field theory, and plane Euclidean and non-Euclidean geometry

Chapter

Front Cover

pp.:  1 – 4

About Our Authors

pp.:  3 – 10

Surface Topology

pp.:  4 – 5

Copyright Page

pp.:  5 – 6

Table of Contents

pp.:  6 – 3

Notation

pp.:  10 – 12

Authors' preface

pp.:  12 – 14

Preface to this 3rd edition

pp.:  14 – 16

Chapter 1. Intuitive ideas

pp.:  16 – 33

Chapter 2. Plane models of surfaces

pp.:  33 – 50

Chapter 3. Surfaces as plane diagrams

pp.:  50 – 65

Chapter 4. Distinguishing surfaces

pp.:  65 – 78

Chapter 5. Patterns on surfaces

pp.:  78 – 102

Chapter 6. Maps and graphs

pp.:  102 – 121

Chapter 7. Vector fields on surfaces

pp.:  121 – 142

Chapter 8. Plane tessellation representations of compact surfaces

pp.:  142 – 182

Chapter 9. Some applications of tessellation representations

pp.:  182 – 200

Chapter 10. Introducing the fundamental group

pp.:  200 – 206

Chapter 11. Surfaces with Boundaries

pp.:  206 – 223

Chapter 12. Topology, Graphs and Groups

pp.:  223 – 230

Outline solutions to the exercises

pp.:  230 – 242

Further reading and references

pp.:  242 – 244

Index

pp.:  244 – 262

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