---

＜電子ブック＞
Computational Homology / by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
(Applied Mathematical Sciences. ISSN:2196968X ; 157)

版	1st ed. 2004.
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
冊子体	Computational homology / Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek
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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/b97315

 類似資料