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Computational Homology / by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
(Applied Mathematical Sciences. ISSN:2196968X ; 157)
版 | 1st ed. 2004. |
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出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2004 |
本文言語 | 英語 |
大きさ | XVIII, 482 p : online resource |
著者標目 | *Kaczynski, Tomasz author Mischaikow, Konstantin author Mrozek, Marian author SpringerLink (Online service) |
件 名 | LCSH:Topology LCSH:Mathematics LCSH:Algebra, Homological LCSH:Dynamical systems LCSH:Mathematics -- Data processing 全ての件名で検索 LCSH:Algebraic topology FREE:Topology FREE:Applications of Mathematics FREE:Category Theory, Homological Algebra FREE:Dynamical Systems FREE:Computational Mathematics and Numerical Analysis FREE:Algebraic Topology |
一般注記 | Homology -- Preview -- Cubical Homology -- Computing Homology Groups -- Chain Maps and Reduction Algorithms -- Preview of Maps -- Homology of Maps -- Computing Homology of Maps -- Extensions -- Prospects in Digital Image Processing -- Homological Algebra -- Nonlinear Dynamics -- Homology of Topological Polyhedra -- Tools from Topology and Algebra -- Topology -- Algebra -- Syntax of Algorithms In recent years, there has been a growing interest in applying homology to problems involving geometric data sets, whether obtained from physical measurements or generated through numerical simulations. This book presents a novel approach to homology that emphasizes the development of efficient algorithms for computation. As well as providing a highly accessible introduction to the mathematical theory, the authors describe a variety of potential applications of homology in fields such as digital image processing and nonlinear dynamics. The material is aimed at a broad audience of engineers, computer scientists, nonlinear scientists, and applied mathematicians. Mathematical prerequisites have been kept to a minimum and there are numerous examples and exercises throughout the text. The book is complemented by a website containing software programs and projects that help to further illustrate the material described within HTTP:URL=https://doi.org/10.1007/b97315 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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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 | 9780387215976 |
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電子リソース |
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EB00230694 |
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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 | 4000104384 |
ISBN | 9780387215976 |
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※2017年9月4日以降