Introduction to Knot Theory (Dover Books on Mathematics)

Crowell, Richard H.; Fox, Ralph H.

ISBN 10: 0486468941 / ISBN 13: 9780486468945

Published by Dover Publications (edition Illustrated), 2008

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 0486468941-11-1

Bibliographic Details

• Title: Introduction to Knot Theory (Dover Books on Mathematics)
• Publisher: Dover Publications (edition Illustrated)
• Publication Date: 2008
• Language: English
• ISBN 10: 0486468941
• ISBN 13: 9780486468945
• Binding: Paperback
• Edition: Illustrated.
• Condition: Very Good

About this title

Synopsis

Hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature," this text is appropriate for advanced undergraduates and graduate students. Written by two internationally renowned mathematicians, its accessible treatment requires no previous knowledge of algebraic topology.
Starting with basic definitions of knots and knot types, the text proceeds to examinations of fundamental and free groups. A survey of the historic foundation for the notion of group presentation is followed by a careful proof of the theorem of Tietze and several examples of its use. Subsequent chapters explore the calculation of fundamental groups, the presentation of a knot group, the free calculus and the elementary ideals, and the knot polynomials and their characteristic properties. The text concludes with three helpful appendixes and a guide to the literature.

About the Author

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.