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Product No. 6654 Supplementary Print Price: FREE with membership
 

Knottedness (GeoMAP)

Bridget Arvold and Peter Cromwell


Mathematics Topic:
Geometry
Application Areas:
Design, construction, engineering, medicine
Prerequisites:
Algebra

| ©1995 by COMAP, Inc. | 58 pages |


From magic tricks, to sailing, to Egyptian hieroglyphics, knots have appeared throughout history and in virtually all cultures. Using topology, students explore the nature of knots, a new and exciting area of mathematical research. As students work through this module, they will have the opportunity to explore and extend the mathematics of knots. Although this module does not focus on possible uses of knot theory, students are encouraged to ponder possible applications. The module is not a mini-textbook, either. Instead, it is intended to guide students into the world of mathematics research.

GeoMAP library available on CD-ROM product no. 7592

Table of Contents:

SECTION ONE: INTRODUCTION

SECTION TWO: LOOPS AND PROJECTIONS

SECTION THREE: DIFFERENT KINDS OF KNOTTEDNESS

SECTION FOUR: KNOT DIAGRAMS

SECTION FIVE: DISTINGUISHING KNOTS

APPENDIX