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ON KNOTS. (AM-115) By Louis H. Kauffman **Mint Condition**

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eBay item number:404738078469
Last updated on 18 Feb, 2024 11:23:48 AEDSTView all revisionsView all revisions

Item specifics

Condition
Like new: A book that looks new but has been read. Cover has no visible wear, and the dust jacket ...
ISBN-10
0691084351
Book Title
On Knots. (AM-115)
Genre
MATHEMATICS
ISBN
9780691084350

About this product

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691084351
ISBN-13
9780691084350
eBay Product ID (ePID)
736847

Product Key Features

Number of Pages
498 Pages
Language
English
Publication Name
On Knots
Publication Year
1987
Subject
Topology, Research
Type
Textbook
Author
Louis H. Kauffman
Subject Area
Mathematics
Series
Annals of Mathematics Studies
Format
Trade Paperback

Dimensions

Item Height
1.1 in
Item Weight
24 Oz
Item Length
9.2 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
87-003195
Reviews
On Knotsis 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 to the reader to explore combinatorial patterns, which makes the book stimulating. -- American Mathematical Society, " 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 to the reader to explore combinatorial patterns, which makes the book stimulating."-- American Mathematical Society, 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 to the reader to explore combinatorial patterns, which makes the book stimulating., 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 to the reader to explore combinatorial patterns, which makes the book stimulating. -- American Mathematical Society, " 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 to the reader to explore combinatorial patterns, which makes the book stimulating." -- American Mathematical Society
Dewey Edition
19
Series Volume Number
115
Illustrated
Yes
Dewey Decimal
514/.224
Synopsis
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., 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 recentl
LC Classification Number
QA612.2.K38 1987

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