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Bibliographic Details
Main Author:	Burde, Gerhard 1931- (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] de Gruyter 2003
Edition:	2., rev. and extended ed
Series:	De Gruyter studies in mathematics 5
Subjects:	28 Knoten Knoten > Mathematik Knotentheorie Electronic books
Online Access:	Volltext Volltext
Item Description:	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
Physical Description:	1 Online-Ressource (PDF-Datei, 572 p.)
ISBN:	9783110198034
DOI:	10.1515/9783110198034

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MARC


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Record in the Search Index

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dewey-hundreds	500 - Natural sciences and mathematics
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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	2025-02-19T17:39:34Z
institution	BVB
isbn	9783110198034
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027783297
oclc_num	437191145
open_access_boolean
owner	DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 DE-19 DE-BY-UBM DE-706
owner_facet	DE-859 DE-860 DE-739 DE-1046 DE-1043 DE-858 DE-19 DE-BY-UBM DE-706
physical	1 Online-Ressource (PDF-Datei, 572 p.)
psigel	ZDB-23-DGG ZDB-23-GBA FKE_PDA_DGG FLA_PDA_DGG UPA_PDA_DGG FAW_PDA_DGG FCO_PDA_DGG ZDB-23-GBA_2000/2014
publishDate	2003
publishDateSearch	2003
publishDateSort	2003
publisher	de Gruyter
record_format	marc
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 Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Knotentheorie (DE-588)4164318-5 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 Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd
subject_GND	(DE-588)4164314-8 (DE-588)4164318-5
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 Knoten Mathematik (DE-588)4164314-8 gnd Knotentheorie (DE-588)4164318-5 gnd
topic_facet	28 Knoten Knoten Mathematik Knotentheorie
url	http://www.degruyter.com/doi/book/10.1515/9783110198034 https://doi.org/10.1515/9783110198034
work_keys_str_mv	AT burdegerhard knots AT zieschangheiner knots

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