Algorithmic Topology and Classification of 3-Manifolds Contributor(s): Matveev, Sergei (Author) |
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ISBN: 3642079601 ISBN-13: 9783642079603 Publisher: Springer OUR PRICE: $80.74 Product Type: Paperback - Other Formats Published: November 2010 |
Additional Information |
BISAC Categories: - Mathematics | Topology - General - Mathematics | Applied - Computers | Computer Science |
Dewey: 514.2 |
Series: Algorithms and Computation in Mathematics |
Physical Information: 1.02" H x 6.14" W x 9.21" (1.55 lbs) 492 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 f r 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. |