Algorithmic Topology and Classification of 3-Manifolds - Couverture rigide

Matveev, Sergei

Couverture rigide

ISBN 10 : 3540458980 ISBN 13 : 9783540458982

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2007

Synopsis

From the reviews of the 1st edition:

"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph...

All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary.

In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers".

Zentralblatt für Mathematik 2004

For this 2^nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.

A propos du livre

Présentation de l'éditeur

From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph… All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". Zentralblatt für Mathematik 2004 For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3-Manifold Recognizer" have been included.

Revue de presse

"The aim of this fine book is to study the algorithmic topology of low-dimensional manifolds ... . The book is written in a very accurate and readable style. ... It looks like as a selfcontained and fundamental work on the algorithmic 3-dimensional topology both for graduate students and researchers. ... This is a book I am very happy to have, and it is heartily recommended to anyone interested in studying topology of 3-manifolds from an algorithmic point of view." --Alberto Cavicchioli, Zentralblatt MATH, Vol. 1128 (6), 2008

Détails de l'édition

• Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 3540458980
• ISBN 13: 9783540458982
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 506
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne