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Explorations in topology : map coloring, surfaces, and knots /

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...

全面介绍

书目详细资料
主要作者: Gay, David
格式: Printed Book
语言:English
出版: Amsterdam: Elsevier, 2014.
版:Second edition.
丛编:Elsevier insights.
主题:
书本目录:
  • 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 Möbius 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.