Zieschang, Heiner
Overview
Works:  42 works in 198 publications in 6 languages and 5,722 library holdings 

Genres:  Academic theses 
Roles:  Author, dgs, Honoree 
Publication Timeline
.
Most widely held works by
Heiner Zieschang
Knots by
Gerhard Burde(
)
15 editions published between 1983 and 2014 in 4 languages and held by 1,792 WorldCat member libraries worldwide
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
15 editions published between 1983 and 2014 in 4 languages and held by 1,792 WorldCat member libraries worldwide
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
Knots by
Gerhard Burde(
)
44 editions published between 1985 and 2014 in 3 languages and held by 1,779 WorldCat member libraries worldwide
"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 3manifolds 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." "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."Jacket
44 editions published between 1985 and 2014 in 3 languages and held by 1,779 WorldCat member libraries worldwide
"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 3manifolds 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." "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."Jacket
Finite groups of mapping classes of surfaces by
Heiner Zieschang(
Book
)
24 editions published between 1981 and 2008 in 3 languages and held by 613 WorldCat member libraries worldwide
24 editions published between 1981 and 2008 in 3 languages and held by 613 WorldCat member libraries worldwide
Surfaces and planar discontinuous groups by
Heiner Zieschang(
Book
)
27 editions published in 1980 in English and German and held by 577 WorldCat member libraries worldwide
27 editions published in 1980 in English and German and held by 577 WorldCat member libraries worldwide
Flächen und ebene diskontinuierliche Gruppen by
Heiner Zieschang(
Book
)
8 editions published between 1970 and 2008 in German and Germanic and held by 456 WorldCat member libraries worldwide
8 editions published between 1970 and 2008 in German and Germanic and held by 456 WorldCat member libraries worldwide
Algebraische Topologie : eine Einführung : mit zahlreichen Bildern, Beispielen und Übungsaufgaben by
Ralph Stöcker(
Book
)
9 editions published between 1988 and 1994 in German and Undetermined and held by 171 WorldCat member libraries worldwide
9 editions published between 1988 and 1994 in German and Undetermined and held by 171 WorldCat member libraries worldwide
Lineare Algebra und Geometrie by
Heiner Zieschang(
Book
)
4 editions published in 1997 in German and English and held by 99 WorldCat member libraries worldwide
Das Buch führt in die lineare und multilineare Algebra sowie Geometrie ein: Gruppen, Körper, Vektorräume und lineare Abbildungen, affine und euklidische Räume, Matrizen und Determinanten, lineare Gleichungssysteme, Normalformen von quadratischen Matrizen und Formen, Tensorprodukt, äußere Algebra, Vektorprodukt. Dabei wird das Wechselspiel zwischen Algebra und Geometrie herausgestellt und bei Beweisen benutzt. Der Standardstoff wird ergänzt durch: numerische Behandlung linearer Gleichungssysteme;Lineare Optimierung und Simplexverfahren; Hinweise auf die Programmierung von Aufgaben der lineare Algebra: Einführung in die Gruppentheorie, speziell die Klassifikation der endlich erzeugten abelschen Gruppen; Projektive Geometrie; die klassichen Geometrien; sphärische Trigonometrie und Navigation; eine Einführung in die Grundlagen der Geometrie. Das Buch eignet sich für Studenten der Mathematik, Informatik und Physik, sowie zum Eigenstudium. Die Zusätze sollen die Kenntnisse der Geometrie erweitern und einen Blick in die Fragestellungen der Numerik geben. Deshalb ist es besonders für Lehramtskandidate, aber auch für Mathematiklehrer geeignet
4 editions published in 1997 in German and English and held by 99 WorldCat member libraries worldwide
Das Buch führt in die lineare und multilineare Algebra sowie Geometrie ein: Gruppen, Körper, Vektorräume und lineare Abbildungen, affine und euklidische Räume, Matrizen und Determinanten, lineare Gleichungssysteme, Normalformen von quadratischen Matrizen und Formen, Tensorprodukt, äußere Algebra, Vektorprodukt. Dabei wird das Wechselspiel zwischen Algebra und Geometrie herausgestellt und bei Beweisen benutzt. Der Standardstoff wird ergänzt durch: numerische Behandlung linearer Gleichungssysteme;Lineare Optimierung und Simplexverfahren; Hinweise auf die Programmierung von Aufgaben der lineare Algebra: Einführung in die Gruppentheorie, speziell die Klassifikation der endlich erzeugten abelschen Gruppen; Projektive Geometrie; die klassichen Geometrien; sphärische Trigonometrie und Navigation; eine Einführung in die Grundlagen der Geometrie. Das Buch eignet sich für Studenten der Mathematik, Informatik und Physik, sowie zum Eigenstudium. Die Zusätze sollen die Kenntnisse der Geometrie erweitern und einen Blick in die Fragestellungen der Numerik geben. Deshalb ist es besonders für Lehramtskandidate, aber auch für Mathematiklehrer geeignet
Flächen und ebene diskontinuierliche Gruppen by
Heiner Zieschang(
)
13 editions published in 1970 in German and Undetermined and held by 77 WorldCat member libraries worldwide
13 editions published in 1970 in German and Undetermined and held by 77 WorldCat member libraries worldwide
Flächen und ebene diskontinuierliche Gruppen by
Heiner Zieschang(
Book
)
2 editions published in 1970 in English and held by 25 WorldCat member libraries worldwide
2 editions published in 1970 in English and held by 25 WorldCat member libraries worldwide
Surfaces and planar discontinuous groups by
Heiner Zieschang(
Book
)
1 edition published in 1980 in English and held by 25 WorldCat member libraries worldwide
1 edition published in 1980 in English and held by 25 WorldCat member libraries worldwide
Knots by
Gerhard Burde(
)
2 editions published in 2003 in German and English and held by 25 WorldCat member libraries worldwide
2 editions published in 2003 in German and English and held by 25 WorldCat member libraries worldwide
Algebraische Topologie : eine Einführung by
Ralph Stöcker(
Book
)
6 editions published between 1988 and 1994 in German and held by 20 WorldCat member libraries worldwide
" ... Dieses Buch bietet sich als sehr empfehlenswerte Einführung in die algebraische Topolige an und eignet sich sowohl zum Selbststudium als auch zum Aufbau einer Lehrveranstaltung. ..." G. Lettl. Internationale Mathematische Nachrichten, Wien
6 editions published between 1988 and 1994 in German and held by 20 WorldCat member libraries worldwide
" ... Dieses Buch bietet sich als sehr empfehlenswerte Einführung in die algebraische Topolige an und eignet sich sowohl zum Selbststudium als auch zum Aufbau einer Lehrveranstaltung. ..." G. Lettl. Internationale Mathematische Nachrichten, Wien
Surfaces and planar discontinuous groups by
Heiner Zieschang(
)
4 editions published between 1980 and 2008 in English and held by 11 WorldCat member libraries worldwide
4 editions published between 1980 and 2008 in English and held by 11 WorldCat member libraries worldwide
Über einfache Kurven auf Vollbrezeln by
Heiner Zieschang(
Book
)
4 editions published between 1961 and 1962 in German and held by 5 WorldCat member libraries worldwide
4 editions published between 1961 and 1962 in German and held by 5 WorldCat member libraries worldwide
Poverschnosti i razryvnye gruppy by
Heiner Zieschang(
Book
)
3 editions published in 1988 in Russian and held by 4 WorldCat member libraries worldwide
3 editions published in 1988 in Russian and held by 4 WorldCat member libraries worldwide
Algebra VII : combinatorial group theory, applications to geometry by
D. J Collins(
)
1 edition published in 2013 in English and held by 4 WorldCat member libraries worldwide
From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: " ... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 " ... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J. Collins and H. Zieschang ... : "Some problems of group theory related to geometry" by R.I. Grigorchuk and P.F. Kurchanov. ... Together, these two articles form a wideranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 " ... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 " ... This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. A titbit for every interested reader!" Monatshefte für Mathematik, 1995
1 edition published in 2013 in English and held by 4 WorldCat member libraries worldwide
From the reviews of the first printing of this book, published as volume 58 of the Encyclopaedia of Mathematical Sciences: " ... This book will be very useful as a reference and guide to researchers and graduate students in algebra and and topology." Acta Scientiarum Mathematicarum, Ungarn, 1994 " ... The book under review consists of two monographs on geometric aspects of group theory: Combinatorial group theory and fundamental groups" by D.J. Collins and H. Zieschang ... : "Some problems of group theory related to geometry" by R.I. Grigorchuk and P.F. Kurchanov. ... Together, these two articles form a wideranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ... In summary, a very interesting book! Bulletin of the London Mathematical Society, 1996 " ... In both essays the authors give clear and comprehensive definitions, examples and statements (but not proofs) of theorems, so that the book can be understood by a reader with a minimal background in group theory or geometry. Such a reader, needing to find out what is known in this area, will find this a full and accessible store of information." Contemporary Physics, 1994 " ... This survey (Part II) presents for the first time that problems in monograph form and by the way offers a unifying treatment of the various approaches to their solutions, as far as they are known, together with hints to open problems. A titbit for every interested reader!" Monatshefte für Mathematik, 1995
Surfaces on planar discontinuous groups by
Heiner Zieschang(
Book
)
1 edition published in 1980 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1980 in English and held by 3 WorldCat member libraries worldwide
Flächen und ebene diskontinuierliche Gruppen by
Heiner Zieschang(
Book
)
2 editions published in 1970 in German and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1970 in German and English and held by 2 WorldCat member libraries worldwide
Nombre de ponts et générateurs méridiens des entrelacs de Montesinos by
Michel Boileau(
Book
)
2 editions published between 1983 and 1984 in French and held by 2 WorldCat member libraries worldwide
2 editions published between 1983 and 1984 in French and held by 2 WorldCat member libraries worldwide
Poverkhnosti i razryvnye gruppy = Surfaces and planar discontinuous groups : Finite groups of mapping classes of surfaces by
Heiner Zieschang(
Book
)
1 edition published in 1988 in Russian and held by 2 WorldCat member libraries worldwide
1 edition published in 1988 in Russian and held by 2 WorldCat member libraries worldwide
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Related Identities
 Burde, Gerhard 1931 Author
 Heusener, Michael Author
 Coldewey, HansDieter
 Vogt, Elmar Author
 Vogt, E.
 Stöcker, Ralph 1941 Author
 Stöcker, Ralph 1941 Author
 SpringerLink (Service en ligne)
 Stillwell, J. Translator
 Boileau, Michel Author Editor
Useful Links
Associated Subjects
Covers
Alternative Names
Cišang, Ch.
Cišang, Chajner.
Cišang, H.
Heiner Zieschang deutscher Mathematiker
Heiner Zieschang Duits wiskundige
Heiner Zieschang German mathematician
Heiner Zieschang matemàtic alemany
Heiner Zieschang matemático alemán
Heiner Zieschang mathématicien allemand
Heiner Zieschang professor académico alemão
Heiner Zieschang tysk matematikar
Heiner Zieschang tysk matematiker
Zieschang, H.
Zieschang, H. 19362004
Zieschang, H. E. 19362004
Zieschang, H. (Heiner)
Zieschang, Heiner
Zieschang, Heiner E. 19362004
Цишанг, Хайнер
Languages