Knots and Links

by Peter R. Cromwell

Overview

Knot theory is the study of embeddings of circles in space. Peter Cromwell has written a textbook on knot theory designed for use in advanced undergraduate or beginning graduate-level courses. The exposition is detailed and careful yet engaging and full of motivation. Numerous examples and exercises serve to help students through the material, while an instructor's manual is available online.

Product Details

ISBN-13:	9780521548311
Publisher:	Cambridge University Press
Publication date:	10/14/2004
Edition description:	New Edition
Pages:	348
Product dimensions:	6.69(w) x 9.61(h) x 0.71(d)

Table of Contents

Preface; 1. Introduction; 2. A topologist's toolkit; 3. Link diagrams; 4. Constructions and decompositions of links; 5. Spanning surfaces and genus; 6. Matrix invariants; 7. The Alexander-Conway polynomial; 8. Rational tangles; 9. More polynomials; 10. Closed braids and arc presentations; Appendix A. Knot diagrams; Appendix B. Numerical invariants; Appendix C. Properties; Appendix D. Polynomials; Appendix E. Polygon coordinates; Appendix F. Family properties; Bibliography; Index.

Editorial Reviews

"The book has a satisfying, unifying goalclear prose, systematic rigor, attractive layout, and copious diagrams all add to the overall appeal. Highly recommended." Choice

"The book under review wil be of great help to anyone who sudies or teaches knot theory. It reflects adequately the contemporary state of the parts of the theory it covers, and the reader finishes it with a natural feeling that at some time in the future, knot theory will become an obligatory study for each math undergraduate..." Mathematical Reviews, Sergei K. Lando

From the Publisher