Surface topology
Author(s)
Bibliographic Information
Surface topology
（Ellis Horwood series in mathematics and its applications）
Ellis Horwood, 1991
2nd ed
- : pbk
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
This text examines the topology of compact surfaces through the development of some simple ideas in place geometry, an approach which allows a treatment of an area of mathematics that is particularly attractive both for the richness of its applications, and for the variety of its interactions with other branches of mathematics. A wide variety of topics are linked with surface topology, such as graph theory, group theory, vector field theory and plane Euclidean and non-Euclidean geometry. Each topic is treated from its beginnings, thus offering a bird's eye view of many branches of mathematics. The author's introductions are presented in simple terms and, for those who wish to extend their knowledge of the topics discussed, a bibliography is provided.
Table of Contents
- Intuitive ideas
- plane models of surfaces
- surfaces as plane diagrams
- distinguishing surfaces
- patterns on surfaces
- maps and graphs
- vector fields on surfaces
- plane tesselation representation of computer surfaces
- some applications of tesselation representations
- introducing the fundamental group.
by "Nielsen BookData"
