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Algorithmic Topology and Classification of 3-Manifolds / by Sergei Matveev
(Algorithms and Computation in Mathematics ; 9)
版 | 2nd ed. 2007. |
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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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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540458999 |
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EB00232521 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA611-614.97 DC23:514 |
書誌ID | 4000119826 |
ISBN | 9783540458999 |
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※2017年9月4日以降