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On Knots, Paperback by Kauffman, Louis H., Brand New, Free shipping in the US
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Item specifics
- Condition
- Book Title
- On Knots
- ISBN
- 9780691084350
- Publication Name
- On Knots. (Am-115) , Volume 115
- Item Length
- 9.2in
- Publisher
- Princeton University Press
- Publication Year
- 1987
- Series
- Annals of Mathematics Studies
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 1.1in
- Item Width
- 6.1in
- Item Weight
- 24 Oz
- Number of Pages
- 498 Pages
About this product
Product Information
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 Identifiers
Publisher
Princeton University Press
ISBN-10
0691084351
ISBN-13
9780691084350
eBay Product ID (ePID)
736847
Product Key Features
Publication Name
On Knots. (Am-115) , Volume 115
Format
Trade Paperback
Language
English
Publication Year
1987
Series
Annals of Mathematics Studies
Type
Textbook
Number of Pages
498 Pages
Dimensions
Item Length
9.2in
Item Height
1.1in
Item Width
6.1in
Item Weight
24 Oz
Additional Product Features
Series Volume Number
417
Lc Classification Number
Qa612.2.K38 1987
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
Copyright Date
1988
Topic
Topology, Research
Lccn
87-003195
Dewey Decimal
514/.224
Intended Audience
College Audience
Dewey Edition
19
Illustrated
Yes
Genre
Mathematics
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