Explorations in Topology
eBook - ePub

Explorations in Topology

Map Coloring, Surfaces and Knots

  1. 332 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Explorations in Topology

Map Coloring, Surfaces and Knots

About this book

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 help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology. - Students begin to solve substantial problems from the start - Ideas unfold through the context of a storyline, and students become actively involved - The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material

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Yes, you can access Explorations in Topology by David Gay in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Elsevier
Year
2013
eBook ISBN
9780124166400
Edition
2

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. Preface
  7. Acknowledgments
  8. 1. Acme Does Maps and Considers Coloring Them
  9. 2. Tours
  10. 3. Maps Data
  11. 4. Map Data and Map Coloring
  12. 5. How to Color a Map with Four Colors
  13. 6. Doughnuts
  14. 7. The Möbius Strip
  15. 8. New Worlds: Klein Bottles and Other Surfaces
  16. 9. Surface Sums and Euler Numbers
  17. 10. Classification of Surfaces
  18. 11. Classification (Part II), Existence and Four-Space
  19. 12. Coloring Maps on Surfaces
  20. 13. Knots
  21. 14. Projects