Knots:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
de Gruyter
2003
|
| Ausgabe: | 2., rev. and extended ed |
| Schriftenreihe: | De Gruyter studies in mathematics
5 |
| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers URL des Erstveröffentlichers |
| Beschreibung: | Literaturverzeichnis S. [367] - 505 Main description: This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds and knots. Knot theory has expanded enormously since the first edition of this book published in 1985. A special feature of this second completely revised and extended edition is the introduction to two new constructions of knot invariants, namely the Jones and homfly polynomials and the Vassiliev invariants. The book contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known. The text is accessible to advanced undergraduate and graduate students in mathematics |
| Beschreibung: | 1 Online-Ressource (PDF-Datei, 572 p.) |
| ISBN: | 9783110198034 |
| DOI: | 10.1515/9783110198034 |
Internformat
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| 500 | |a Literaturverzeichnis S. [367] - 505 | ||
| 500 | |a Main description: This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds and knots. Knot theory has expanded enormously since the first edition of this book published in 1985. A special feature of this second completely revised and extended edition is the introduction to two new constructions of knot invariants, namely the Jones and homfly polynomials and the Vassiliev invariants. The book contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known. The text is accessible to advanced undergraduate and graduate students in mathematics | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Burde, Gerhard 1931- |
| author_GND | (DE-588)143762907 (DE-588)11564489X |
| author_facet | Burde, Gerhard 1931- |
| author_role | aut |
| author_sort | Burde, Gerhard 1931- |
| author_variant | g b gb |
| building | Verbundindex |
| bvnumber | BV042346816 |
| classification_rvk | SK 300 |
| collection | ZDB-23-DGG ZDB-23-GBA |
| ctrlnum | (OCoLC)437191145 (DE-599)BVBBV042346816 |
| 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 | 10.1515/9783110198034 |
| edition | 2., rev. and extended ed |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:19:03Z |
| institution | BVB |
| isbn | 9783110198034 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027783297 |
| oclc_num | 437191145 |
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| physical | 1 Online-Ressource (PDF-Datei, 572 p.) |
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| publishDate | 2003 |
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| publisher | de Gruyter |
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| series2 | De Gruyter studies in mathematics |
| spelling | Burde, Gerhard 1931- Verfasser (DE-588)143762907 aut Knots Gerhard Burde; Heiner Zieschang 2., rev. and extended ed Berlin [u.a.] de Gruyter 2003 1 Online-Ressource (PDF-Datei, 572 p.) txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematics 5 Literaturverzeichnis S. [367] - 505 Main description: This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched coverings and knots, Montesinos links, representations of knot groups, surgery of 3-manifolds and knots. Knot theory has expanded enormously since the first edition of this book published in 1985. A special feature of this second completely revised and extended edition is the introduction to two new constructions of knot invariants, namely the Jones and homfly polynomials and the Vassiliev invariants. The book contains many figures and some tables of invariants of knots. This comprehensive account is an indispensable reference source for anyone interested in both classical and modern knot theory. Most of the topics considered in the book are developed in detail; only the main properties of fundamental groups and some basic results of combinatorial group theory are assumed to be known. The text is accessible to advanced undergraduate and graduate students in mathematics 28 gnd Knoten gnd Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Electronic books Knotentheorie (DE-588)4164318-5 s 1\p DE-604 Knoten Mathematik (DE-588)4164314-8 s 2\p DE-604 Zieschang, Heiner 1936-2004 Sonstige (DE-588)11564489X oth Erscheint auch als Druck-Ausgabe, Hardcover 3-11-017005-1 http://www.degruyter.com/doi/book/10.1515/9783110198034 Verlag URL des Erstveröffentlichers Volltext https://doi.org/10.1515/9783110198034 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 | Burde, Gerhard 1931- Knots 28 gnd Knoten gnd Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| subject_GND | (DE-588)4164318-5 (DE-588)4164314-8 |
| title | Knots |
| title_auth | Knots |
| title_exact_search | Knots |
| title_full | Knots Gerhard Burde; Heiner Zieschang |
| title_fullStr | Knots Gerhard Burde; Heiner Zieschang |
| title_full_unstemmed | Knots Gerhard Burde; Heiner Zieschang |
| title_short | Knots |
| title_sort | knots |
| topic | 28 gnd Knoten gnd Knotentheorie (DE-588)4164318-5 gnd Knoten Mathematik (DE-588)4164314-8 gnd |
| topic_facet | 28 Knoten Knotentheorie Knoten Mathematik |
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