Explorations in topology : map coloring, surfaces and knots / David A. Gay.
Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will h...
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Full Text (via ScienceDirect) |
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Main Author: | |
Format: | eBook |
Language: | English |
Published: |
London :
Elsevier,
2014.
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Edition: | 2nd ed. |
Series: | Elsevier insights.
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Subjects: |
Table of Contents:
- 1. Acme does maps and considers coloring them
- 2. Tours
- 3. Maps data
- 4. Map data and map coloring
- 5. How to color a map with four colors
- 6. Doughnuts
- 7. The Mobius strip
- 8. New worlds : Klein bottles and other surfaces
- 9. Surface sums and Euler numbers
- 10. Classification of surfaces
- 11. Classification (Part II), existence and four-space
- 12. Coloring maps on surfaces
- 13. Knots
- 14. Projects.