Introduction to Knot Theory
by Crowell, Richard H.; Fox, Ralph H.Format: Paperback
Pub. Date: 2008-09-27
Publisher(s): Dover Publications
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Summary
Hailed by theBulletin of the American Mathematical Societyas "a very welcome addition to the mathematical literature," this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, it offers an accessible treatment that requires no previous knowledge of algebraic topology. 1963 edition.
Author Biography
A topologist and the world's foremost knot theorist, the late Ralph H. Fox was on the faculty at Princeton University. The late Richard H. Crowell was a Professor of Mathematics at Dartmouth College.
Table of Contents
Prerequisites
Chapter 1. Knots and Knot Types
Chapter 2. The Fundamental Group
Chapter 3. The Free Groups
Chapter 4. Presentation of Groups
Chapter 5. Calculation of Fundamental Groups
Chapter 6. Presentation of a Knot Group
Chapter 7. The Free Calculus and the Elementary Ideals
Chapter 8. The Knot Polynomials
Chapter 9. Characteristic Properties of the Knot Polynomials
Appendix I. Differentiable Knots are Tame
Appendix II. Categories and groupoids
Appendix III. Proof of the van Kampen theorem
Guide to the Literature
Bibliography
Index
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