On Knots (Annals of Mathematics Studies, 115) - Image 1

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Princeton University Press On Knots (Annals of Mathematics Studies, 115)

Name: On Knots (Annals of Mathematics Studies, 115)
Brand: Princeton University Press
Price: 50.0 GBP
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Combinatorics & Graph Theory

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Description

On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.

Product Specifications

Brand: Princeton University Press
Format: hardcover
ASIN: 0691084343
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Combinatorics & Graph Theory
Domain: Amazon UK
Release Date: 01 July 1992
Listed Since: 10 December 2006

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Princeton University Press On Knots (Annals of Mathematics Studies, 115)

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