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OverviewThis text is an introduction to classical knot theory. Topics covered include: different constructions of knots; knot diagrams; knot groups; fibred knots; characterization of torus knots; prime decomposition of knots; cyclic coverings; branched coverings and knots; Montesinos links; representations of knot groups; and surgery of 3-manifolds and knots. This edition has been revised and extended to include two new constructions of knot invariants: the Jones and homfly polynomials and the Vassiliev invariants. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known. The text should be accessible to advanced undergraduate and graduate students in mathematics. Full Product DetailsAuthor: Gerhard Burde , Heiner ZieschangPublisher: De Gruyter Imprint: De Gruyter Edition: 2nd rev. and ext. ed. Volume: 5 Dimensions: Width: 17.00cm , Height: 3.40cm , Length: 24.00cm Weight: 1.051kg ISBN: 9783110170054ISBN 10: 3110170051 Pages: 571 Publication Date: 16 December 2002 Recommended Age: College Graduate Student Audience: Professional and scholarly , Professional and scholarly , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Unknown Availability: Awaiting stock Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |