---

＜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
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

 類似資料