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Explorations in topology : map coloring, surfaces, and knots /
| 第一著者: | |
|---|---|
| フォーマット: | Printed Book |
| 言語: | English |
| 出版事項: |
Amsterdam ; Boston :
Elsevier Academic Press,
c2007.
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| 主題: | |
| オンライン･アクセス: | Table of contents only Publisher description |
目次:
- Acme does maps and considers coloring them
- Acme adds tours
- Acme collects data from maps
- Acme collects more data, proves a theorem, and returns to coloring maps
- Acme's solicitor proves a theorem: the four-color conjecture
- Acme adds doughnuts to its repertoire
- Acme considers the Möbius strip
- Acme creates new worlds: Klein bottles and other surfaces
- Acme makes order out of chaos: surface sums and Euler numbers
- Acme classifies surfaces
- Acme encounters the fourth dimension
- Acme colors maps on surfaces: Heawood's estimate
- Acme gets all tied up with knots
- Where to go from here: projects.