Klappentext Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the "Bulletin of the American Mathematical Society" as "a very welcome addition to the mathematical literature." 1963 edition. Inhaltsverzeichnis 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

Autorentext

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.

Inhalt

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