Surface Topology

P A Firby (Author), C F Gardiner (Author)

9781898563778, Elsevier Science

Hardback, published 1 June 2001

270 pages
24.1 x 15.9 x 2.2 cm, 0.61 kg

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

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.

Intuitive ideas
Plane models of surfaces
Surfaces as plane diagrams
Distinguishing surfaces
Patterns on surfaces
Maps and graphs
Vector fields on surfaces
Plane tessellation representations of compact surfaces
Some applications of tessellation representations
Introducing the fundamental group
Surfaces with boundaries
Topology, graphs and groups
Tutorial solutions to exercises
Further reading
References and index.

Subject Areas: Topology [PBP]