On knots:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
[1987]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 115 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | 1 online resource |
| ISBN: | 9781400882137 |
| DOI: | 10.1515/9781400882137 |
Internformat
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| 490 | 1 | |a Annals of Mathematics Studies |v number 115 | |
| 520 | |a 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 | ||
| 546 | |a In English | ||
| 650 | 4 | |a Knot theory | |
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| 650 | 0 | 7 | |a Knoten |g Mathematik |0 (DE-588)4164314-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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| author | Kauffman, Louis H. 1945- |
| author_GND | (DE-588)134212614 |
| author_facet | Kauffman, Louis H. 1945- |
| author_role | aut |
| author_sort | Kauffman, Louis H. 1945- |
| author_variant | l h k lh lhk |
| building | Verbundindex |
| bvnumber | BV043712473 |
| classification_rvk | SI 830 SK 300 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400882137 (OCoLC)1165541647 (DE-599)BVBBV043712473 |
| dewey-full | 514/.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.224 |
| dewey-search | 514/.224 |
| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400882137 |
| format | Electronic eBook |
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| id | DE-604.BV043712473 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400882137 |
| language | English |
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| spelling | Kauffman, Louis H. 1945- (DE-588)134212614 aut On knots Louis H. Kauffman Princeton, NJ Princeton University Press [1987] © 1987 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 115 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 In English Knot theory Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s 1\p DE-604 Knoten Mathematik (DE-588)4164314-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08434-3 Annals of Mathematics Studies number 115 (DE-604)BV040389493 115 https://doi.org/10.1515/9781400882137?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kauffman, Louis H. 1945- On knots Annals of Mathematics Studies Knot theory Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4164318-5 (DE-588)4164314-8 |
| title | On knots |
| title_auth | On knots |
| title_exact_search | On knots |
| title_full | On knots Louis H. Kauffman |
| title_fullStr | On knots Louis H. Kauffman |
| title_full_unstemmed | On knots Louis H. Kauffman |
| title_short | On knots |
| title_sort | on knots |
| topic | Knot theory Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | Knot theory Knotentheorie Knoten Mathematik |
| url | https://doi.org/10.1515/9781400882137?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT kauffmanlouish onknots |