Introduction to Knot Theory

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.

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.

PrerequisitesChapter 1. Knots and Knot TypesChapter 2. The Fundamental GroupChapter 3. The Free GroupsChapter 4. Presentation of GroupsChapter 5. Calculation of Fundamental GroupsChapter 6. Presentation of a Knot GroupChapter 7. The Free Calculus and the Elementary IdealsChapter 8. The Knot PolynomialsChapter 9. Characteristic Properties of the Knot PolynomialsAppendix I. Differentiable Knots are TameAppendix II. Categories and groupoidsAppendix III. Proof of the van Kampen theoremGuide to the LiteratureBibliographyIndex