Algorithmic Topology and Classification of 3-Manifolds
Author | : Sergei Matveev |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2007-08-13 |
ISBN-10 | : 9783540458982 |
ISBN-13 | : 3540458980 |
Rating | : 4/5 (980 Downloads) |
Download or read book Algorithmic Topology and Classification of 3-Manifolds written by Sergei Matveev and published by Springer Science & Business Media. This book was released on 2007-08-13 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.