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Introduction to Knot Theory
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Introduction to Knot Theory Paperback - 2008 - 2nd Edition

by Richard H. Crowell; Ralph H. Fox


From the publisher

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.

Details

  • Title Introduction to Knot Theory
  • Author Richard H. Crowell; Ralph H. Fox
  • Binding Paperback
  • Edition number 2nd
  • Edition 2
  • Pages 192
  • Volumes 1
  • Language ENG
  • Publisher Dover Publications
  • Date 2008-09-27
  • Illustrated Yes
  • ISBN 9780486468945 / 0486468941
  • Weight 0.55 lbs (0.25 kg)
  • Dimensions 9.1 x 6 x 0.5 in (23.11 x 15.24 x 1.27 cm)
  • Library of Congress subjects Knot theory
  • Library of Congress Catalog Number 2008026447
  • Dewey Decimal Code 514.224

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.
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Introduction to Knot Theory (Dover Books on Mathematics)
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Introduction to Knot Theory (Dover Books on Mathematics)
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