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Titlebook: Algorithmic Topology and Classification of 3-Manifolds; Sergei Matveev Textbook 2007Latest edition Springer-Verlag Berlin Heidelberg 2007

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樓主
發(fā)表于 2025-3-21 19:42:07 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Algorithmic Topology and Classification of 3-Manifolds
影響因子2023Sergei Matveev
視頻videohttp://file.papertrans.cn/154/153011/153011.mp4
發(fā)行地址Includes supplementary material:
學(xué)科分類Algorithms and Computation in Mathematics
圖書封面Titlebook: Algorithmic Topology and Classification of 3-Manifolds;  Sergei Matveev Textbook 2007Latest edition Springer-Verlag Berlin Heidelberg 2007
影響因子.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 se
Pindex Textbook 2007Latest edition
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沙發(fā)
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板凳
發(fā)表于 2025-3-22 04:21:25 | 只看該作者
https://doi.org/10.1007/978-3-662-39674-2The theory of normal surfaces is used extensively in algorithmic topology. Algorithms based on it most often follow the General Scheme described below. Suppose that we wish to solve a problem about a given 3-manifold ..
地板
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5#
發(fā)表于 2025-3-22 11:24:27 | 只看該作者
Haken Theory of Normal Surfaces,Normal surfaces were introduced by Kneser in 1929 [66]. The theory of normal surfaces was further developed by W. Haken in the early 1960s [38]. Its fundamental importance to the algorithmic topology cannot be overestimated. Most of the work on 3-manifolds since then is based on or related to it.
6#
發(fā)表于 2025-3-22 16:43:51 | 只看該作者
Applications of the Theory of Normal Surfaces,The theory of normal surfaces is used extensively in algorithmic topology. Algorithms based on it most often follow the General Scheme described below. Suppose that we wish to solve a problem about a given 3-manifold ..
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Sergei MatveevIncludes supplementary material:
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