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＜電子ブック＞
Algorithmic Topology and Classification of 3-Manifolds / by Sergei Matveev
(Algorithms and Computation in Mathematics ; 9)

版	2nd ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XIV, 492 p : online resource
著者標目	*Matveev, Sergei author SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Computer programming LCSH:Geometry, Differential LCSH:Algorithms LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Topology FREE:Programming Techniques FREE:Differential Geometry FREE:Algorithms FREE:Symbolic and Algebraic Manipulation
一般注記	Simple and Special Polyhedra -- Complexity Theory of 3-Manifolds -- Haken Theory of Normal Surfaces -- Applications of the Theory of Normal Surfaces -- Algorithmic Recognition of S3 -- Classification of Haken 3-Manifolds -- 3-Manifold Recognizer -- The Turaev–Viro Invariants 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". R. Piergallini, Zentralblatt für Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added HTTP:URL=https://doi.org/10.1007/978-3-540-45899-9

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