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Knots.:

This 3. edition is an introduction to classical knot theory. It 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...

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Bibliographische Detailangaben
Hauptverfasser:	Burde, Gerhard, 1931- (VerfasserIn), Zieschang, Heiner (VerfasserIn), Heusener, Michael (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; Boston : Walter de Gruyter GmbH & Co. KG, 2013.
Ausgabe:	3rd [edition] /
Schriftenreihe:	De Gruyter studies in mathematics.
Schlagworte:	Knot theory. Théorie des nuds. MATHEMATICS > Topology. Knot theory Alexander Polynomials. Braids. Branched Coverings. Cyclic Periods of Knots. Factorization. Fibred Knots. Homfly Polynomials. Knot Groups. Knots. Links. Montesinos Links. Seifert Matrices. Seifert Surface.
Online-Zugang:	Volltext
Zusammenfassung:	This 3. edition is an introduction to classical knot theory. It 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.
Beschreibung:	1 online resource
Bibliographie:	Includes bibliographical references and index.
ISBN:	3110270781 9783110270785

Internformat

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245	1	0	\|a Knots.
250			\|a 3rd [edition] / \|b by Gerhard Burde, Heiner Zieschang, Michael Heusener.
264		1	\|a Berlin ; \|a Boston : \|b Walter de Gruyter GmbH & Co. KG, \|c 2013.
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490	1		\|a De Gruyter Studies in Mathematics
504			\|a Includes bibliographical references and index.
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505	0		\|a Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Contents; Chapter 1: Knots and isotopies; Chapter 2: Geometric concepts; Chapter 3: Knot groups; Chapter 4: Commutator subgroup of a knot group; Chapter 5: Fibered knots; Chapter 6: A characterization of torus knots; Chapter 7: Factorization of knots; Chapter 8: Cyclic coverings and Alexander invariants; Chapter 9: Free differential calculus and Alexander matrices; Chapter 10: Braids; Chapter 11: Manifolds as branched coverings; Chapter 12: Montesinos links; Chapter 13: Quadratic forms of a knot.
505	8		\|a Chapter 14: Representations of knot groupsChapter 15: Knots, knot manifolds, and knot groups; Chapter 16: Bridge number and companionship; Chapter 17: The 2-variable skein polynomial; Appendix A: Algebraic theorems; Appendix B: Theorems of 3-dimensional topology; Appendix C: Table; Appendix D: Knot projections 01-949; References; Author index; Glossary of Symbols; Index.
520			\|a This 3. edition is an introduction to classical knot theory. It 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.
650		0	\|a Knot theory. \|0 http://id.loc.gov/authorities/subjects/sh85072726
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653			\|a Alexander Polynomials.
653			\|a Braids.
653			\|a Branched Coverings.
653			\|a Cyclic Periods of Knots.
653			\|a Factorization.
653			\|a Fibred Knots.
653			\|a Homfly Polynomials.
653			\|a Knot Groups.
653			\|a Knots.
653			\|a Links.
653			\|a Montesinos Links.
653			\|a Seifert Matrices.
653			\|a Seifert Surface.
700	1		\|a Zieschang, Heiner, \|e author.
700	1		\|a Heusener, Michael, \|e author.
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author	Burde, Gerhard, 1931- Zieschang, Heiner Heusener, Michael
author_GND	http://id.loc.gov/authorities/names/n85093003
author_facet	Burde, Gerhard, 1931- Zieschang, Heiner Heusener, Michael
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contents	Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Contents; Chapter 1: Knots and isotopies; Chapter 2: Geometric concepts; Chapter 3: Knot groups; Chapter 4: Commutator subgroup of a knot group; Chapter 5: Fibered knots; Chapter 6: A characterization of torus knots; Chapter 7: Factorization of knots; Chapter 8: Cyclic coverings and Alexander invariants; Chapter 9: Free differential calculus and Alexander matrices; Chapter 10: Braids; Chapter 11: Manifolds as branched coverings; Chapter 12: Montesinos links; Chapter 13: Quadratic forms of a knot. Chapter 14: Representations of knot groupsChapter 15: Knots, knot manifolds, and knot groups; Chapter 16: Bridge number and companionship; Chapter 17: The 2-variable skein polynomial; Appendix A: Algebraic theorems; Appendix B: Theorems of 3-dimensional topology; Appendix C: Table; Appendix D: Knot projections 01-949; References; Author index; Glossary of Symbols; Index.
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discipline	Mathematik
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spelling	Burde, Gerhard, 1931- author. https://id.oclc.org/worldcat/entity/E39PBJqbmkvCFXbYpc4BRGhj4q http://id.loc.gov/authorities/names/n85093003 Knots. 3rd [edition] / by Gerhard Burde, Heiner Zieschang, Michael Heusener. Berlin ; Boston : Walter de Gruyter GmbH & Co. KG, 2013. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Studies in Mathematics Includes bibliographical references and index. Print version record. Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Contents; Chapter 1: Knots and isotopies; Chapter 2: Geometric concepts; Chapter 3: Knot groups; Chapter 4: Commutator subgroup of a knot group; Chapter 5: Fibered knots; Chapter 6: A characterization of torus knots; Chapter 7: Factorization of knots; Chapter 8: Cyclic coverings and Alexander invariants; Chapter 9: Free differential calculus and Alexander matrices; Chapter 10: Braids; Chapter 11: Manifolds as branched coverings; Chapter 12: Montesinos links; Chapter 13: Quadratic forms of a knot. Chapter 14: Representations of knot groupsChapter 15: Knots, knot manifolds, and knot groups; Chapter 16: Bridge number and companionship; Chapter 17: The 2-variable skein polynomial; Appendix A: Algebraic theorems; Appendix B: Theorems of 3-dimensional topology; Appendix C: Table; Appendix D: Knot projections 01-949; References; Author index; Glossary of Symbols; Index. This 3. edition is an introduction to classical knot theory. It 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. Knot theory. http://id.loc.gov/authorities/subjects/sh85072726 Théorie des nuds. MATHEMATICS Topology. bisacsh Knot theory fast Alexander Polynomials. Braids. Branched Coverings. Cyclic Periods of Knots. Factorization. Fibred Knots. Homfly Polynomials. Knot Groups. Links. Montesinos Links. Seifert Matrices. Seifert Surface. Zieschang, Heiner, author. Heusener, Michael, author. Print version: 9783110270747 3110270749 (DLC) 2013043504 De Gruyter studies in mathematics. http://id.loc.gov/authorities/names/n83742913 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=674601 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=674601 Volltext
spellingShingle	Burde, Gerhard, 1931- Zieschang, Heiner Heusener, Michael Knots. De Gruyter studies in mathematics. Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Contents; Chapter 1: Knots and isotopies; Chapter 2: Geometric concepts; Chapter 3: Knot groups; Chapter 4: Commutator subgroup of a knot group; Chapter 5: Fibered knots; Chapter 6: A characterization of torus knots; Chapter 7: Factorization of knots; Chapter 8: Cyclic coverings and Alexander invariants; Chapter 9: Free differential calculus and Alexander matrices; Chapter 10: Braids; Chapter 11: Manifolds as branched coverings; Chapter 12: Montesinos links; Chapter 13: Quadratic forms of a knot. Chapter 14: Representations of knot groupsChapter 15: Knots, knot manifolds, and knot groups; Chapter 16: Bridge number and companionship; Chapter 17: The 2-variable skein polynomial; Appendix A: Algebraic theorems; Appendix B: Theorems of 3-dimensional topology; Appendix C: Table; Appendix D: Knot projections 01-949; References; Author index; Glossary of Symbols; Index. Knot theory. http://id.loc.gov/authorities/subjects/sh85072726 Théorie des nuds. MATHEMATICS Topology. bisacsh Knot theory fast
subject_GND	http://id.loc.gov/authorities/subjects/sh85072726
title	Knots.
title_auth	Knots.
title_exact_search	Knots.
title_full	Knots.
title_fullStr	Knots.
title_full_unstemmed	Knots.
title_short	Knots.
title_sort	knots
topic	Knot theory. http://id.loc.gov/authorities/subjects/sh85072726 Théorie des nuds. MATHEMATICS Topology. bisacsh Knot theory fast
topic_facet	Knot theory. Théorie des nuds. MATHEMATICS Topology. Knot theory
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=674601
work_keys_str_mv	AT burdegerhard knots AT zieschangheiner knots AT heusenermichael knots

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