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Overview"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." Full Product DetailsAuthor: Richard H Crowell , Ralph H FoxPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 15.40cm , Height: 0.90cm , Length: 23.40cm Weight: 0.256kg ISBN: 9780486468945ISBN 10: 0486468941 Pages: 192 Publication Date: 26 December 2008 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationA 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. Tab Content 6Author Website:Countries AvailableAll regions |