Surface topology
著者
書誌事項
Surface topology
(Ellis Horwood series in mathematics and its applications)
Ellis Horwood, 1991
2nd ed
- : pbk
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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