2004;
307 pp;
Softcover

MSC: Primary 57;

Print ISBN: 978-0-8218-3678-1

Product Code: KNOT

List Price: $34.00

AMS Member Price: $27.20

MAA member Price: $30.60

**Electronic ISBN: 978-1-4704-2490-9
Product Code: KNOT.E**

List Price: $34.00

AMS Member Price: $27.20

MAA member Price: $30.60

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#### Supplemental Materials

# The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots

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*Colin C. Adams*

Knots are familiar objects. We use them to moor our boats, to wrap our
packages, to tie our shoes. Yet the mathematical theory of knots quickly leads
to deep results in topology and geometry. The Knot Book is an
introduction to this rich theory, starting with our familiar understanding of
knots and a bit of college algebra and finishing with exciting topics of
current research.

The Knot Book is also about the excitement of doing
mathematics. Colin Adams engages the reader with fascinating examples, superb
figures, and thought-provoking ideas. He also presents the remarkable
applications of knot theory to modern chemistry, biology, and physics.

This is a compelling book that will comfortably escort you into the
marvelous world of knot theory. Whether you are a mathematics student, someone
working in a related field, or an amateur mathematician, you will find much of
interest in The Knot Book.

Colin Adams received the Mathematical Association of America (MAA) Award for
Distinguished Teaching and has been an MAA Polya Lecturer and a Sigma Xi
Distinguished Lecturer.

Other key books of interest available from the AMS are Knots and Links and The Shoelace Book: A Mathematical
Guide to the Best (and Worst) Ways to Lace your Shoes.

#### Readership

Undergraduates, graduate students, and research mathematicians interested in topology and knot theory.

#### Reviews & Endorsements

Amazingly understandable … After reading it twice, I still pick it up and scan it … this book belongs in every mathematical library.

-- Charles Ashbacher, Book Reviews Editor, Journal of Recreational Mathematics

Throughout the book there are lots of exercises of various degrees of difficulty. Many 'unsolved questions' provide opportunity for further research. I liked reading this book. ... well written, enjoyable to read, and very accessible.

-- Zentralblatt MATH

I thought the book was very well suited for an undergraduate knot theory/ topology course. The exposition was very clear.

-- Jennifer Taback, Bowdoin College

#### Table of Contents

# Table of Contents

## The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots

- Cover Cover11 free
- Title i2 free
- Copyright iv5 free
- Contents vii8 free
- Preface xi12 free
- Chapter 1 Introduction 116 free
- Chapter 2 Tabulating Knots 3146
- Chapter 3 Invariants of Knots 5772
- Chapter 4 Surfaces and Knots 7186
- Chapter 5 Types of Knots 107122
- Chapter 6 Polynomials 147162
- Chapter 7 Biology, Chemistry and Physics 181196
- Chapter 8 Knots, Links, and Graphs 215230
- Chapter 9 Topology 243258
- Chapter 10 Higher Dimensional Knotting 265280
- Knot Jokes and Pastimes 276291
- Appendix: Table of Knots, Links, and Knot and Link Invariants 279294
- Suggested Readings and References 291306
- Index 303318
- Corrections to the 2004 AMS Printing 307322
- Back Cover Back Cover1323