
Explorations in Topology
Map Coloring, Surfaces and Knots
Description
Key Features
- 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
Readership
Table of Contents
Dedication
Preface
To the Reader
Format of the Chapters
Overview of the Chapters
Success in the Course for Which the Book Is Designed
Instructor’s Manual
Acknowledgments
1. Acme Does Maps and Considers Coloring Them
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Investigations, Questions, Puzzles, and More
Notes
References
2. Tours
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Investigations, Questions, Puzzles, and More
Notes
References
3. Maps Data
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Scene 5
Investigations, Questions, Puzzles, and More
Notes
References
4. Map Data and Map Coloring
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Scene 3
Investigations, Questions, Puzzles, and More
Notes
References
5. How to Color a Map with Four Colors
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Investigations, Questions, Puzzles, and More
Notes
References
6. Doughnuts
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Investigations, Questions, Puzzles, and More
Notes
References
7. The Möbius Strip
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Investigations, Questions, Puzzles, and More
Notes
References
8. New Worlds: Klein Bottles and Other Surfaces
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Investigations, Questions, Puzzles, and More
Notes
References
9. Surface Sums and Euler Numbers
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Investigations, Questions, Puzzles, and More
Notes
References
10. Classification of Surfaces
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Investigations, Questions, Puzzles, and More
Notes
References
11. Classification (Part II), Existence and Four-Space
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Investigations, Questions, Puzzles, and More
Notes
References
12. Coloring Maps on Surfaces
Investigations, Questions, Puzzles, and More
Notes
References
13. Knots
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Investigations, Questions, Puzzles, and More
Notes
References
14. Projects
Project Ideas
I Map Coloring
II Surfaces
III Surfaces and Maps
IV Three-Space
V Knots and Links
VI Miscellaneous
Resources
References
Communicating Project Results
Product details
- No. of pages: 332
- Language: English
- Copyright: © Elsevier 2013
- Published: December 4, 2013
- Imprint: Elsevier
- eBook ISBN: 9780124166400