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On Knots. (AM-115), Volume 115
Louis H. Kauffman
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Description for On Knots. (AM-115), Volume 115
Paperback. Series: Annals of Mathematics Studies. Num Pages: 498 pages, illustrations. BIC Classification: PBPD; PBV. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 159 x 235 x 35. Weight in Grams: 726.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
1992
Publisher
Princeton University Press United States
Number of pages
498
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
498
Place of Publication
New Jersey, United States
ISBN
9780691084350
SKU
V9780691084350
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
Reviews for On Knots. (AM-115), Volume 115
"On Knots is chatty, and very pleasant for browsing. There are lots of wonderful illustrations and a wealth of detail from the author's bag of tricks, gathered over the years, relating to the combinatorics of knot diagrams and also to Seifert pairings, cobordism, signature invariants (several different ones), the Arf invariant, and the ubiquitous Alexander polynomial. There are many challenges ... Read more