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Surface Topology - P.A. Firby

Hardcover

Published: 24th May 2011
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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

In the top ten for books conveying the dreadful secret that mathematics is fascinating., New Scientist

List of Special Symbolsp. 9
Authors' Prefacep. 11
Preface to the Second Editionp. 13
Intuitive Ideasp. 15
Plane Models of Surfacesp. 32
Surfaces as Plane Diagramsp. 49
Distinguishing Surfacesp. 64
Patterns on Surfacesp. 77
Maps and Graphsp. 101
Vector Fields on Surfacesp. 120
Plane Tessellation Representations of Compact Surfacesp. 141
Some Applications of Tessellation Representationsp. 181
Introducing the Fundamental Groupp. 199
Surfaces with Boundariesp. 205
Topology, Graphs and Groupsp. 222
Outline solutions to the exercisesp. 229
Further reading and referencesp. 241
Indexp. 243
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781898563778
ISBN-10: 1898563772
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 270
Published: 24th May 2011
Publisher: Elsevier Science & Technology
Country of Publication: GB
Dimensions (cm): 24.13 x 17.78  x 1.91
Weight (kg): 0.61
Edition Number: 3
Edition Type: Revised