 |
|
| EXPLORATIONS IN TOPOLOGY
| |
| | |
|
|
Map Coloring, Surfaces and Knots
To order this title, and for more information, click here
By
David Gay
Description
This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers
them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal
topology course. The innovative story-line style of the text models the problems-solving process, presents the development of concepts
in a natural way, and through its informality seduces the reader into engagement with the material. The end-of-chapter Investigations
give the reader opportunities to work on a variety of open-ended, non-routine problems, and, through a modified ?Moore method?, to make
conjectures from which theorems emerge. The students themselves emerge from these experiences owning concepts and results. The 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 opportunities for continued involvement in ?research? beyond the topics of the book.
Audience
Upper division, junior/senior mathematics majors and for high school mathematics teachers; individuals who are interested in innovative
approaches to the teaching of advanced undergraduate mathematics; mathematicians/mathematics educators interested/specializing in curriculum
development.
Contents
Preface
Chapter 1: Acme Does Maps and Considers Coloring Them
Chapter 2: Acme Adds Tours
Chapter 3: Acme Collects Data from Maps
Chapter
4: Acme Collects More Data, Proves a Theorem, and Returns to Coloring Maps
Chapter 5: Acme's Solicitor Proves a Theorem: the Four-Color
Conjecture
Chapter 6: Acme Adds Doughnuts to Its Repertoire
Chapter 7: Acme Considers the M bius Strip
Chapter 8: Acme Creates New
Worlds: Klein Bottles and Other Surfaces
Chapter 9: Acme Makes Order Out of Chaos: Surface Sums and Euler Numbers
Chapter 10: Acme
Classifies Surfaces
Chapter 11: Acme Encounters the Fourth Dimension
Chapter 12: Acme Colors Maps on Surfaces: Heawood's Estimate
Chapter 13: Acme Gets All Tied Up with Knots
Chapter 14: Where to Go from Here: Projects
Index
| Bibliographic details |
Hardbound, 352 pages, publication date: NOV-2006
ISBN-13: 978-0-12-370858-8
ISBN-10: 0-12-370858-3
Imprint: ACADEMIC PRESS
|
| Price and Ordering |
Price:
GBP 28.99
EUR 31.95
USD 46.95
|  |
Books and book related electronic products are priced in euro (EUR), and Great Britain Pounds (GBP) and US dollars (USD). EUR prices apply in Europe. GBP prices apply to the UK. USD prices apply to the Americas, Asia Pacific and the rest of the world.
|
See also information about conditions of sale & ordering procedures, and links to our regional sales offices.
|
030/507
Last update: 20 Feb 2010
|
|
| |
| | |
|
|
| |
Home | Elsevier Sites | Privacy Policy | Terms and Conditions | Feedback | Site Map | A Reed Elsevier Company