【预订】Advances in Applied and Computational Topology 978082185 美国库房发货,通常付款后3-5周到货!
Product Details 基本信息 ISBN-13 书号 9780821853276 Author 作者 Afra Zomorodian Format 版本 精装 Pages Number 页数 232页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2012-07-05 Language 语种 英语 Book Contents 内容简介 What is the shape of data How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? These questions, while unrelated, become similar when recast into a computational setting. Our input is a set of finite, discrete, noisy samples that describes an abstract space. Our goal is to compute qualitative features of the unknown space. It turns out that topology is sufficiently tolerant to provide us with robust tools. This volume is based on lectures delivered at the 2011 AMS Short Course on Computational Topology, held January 4-5, 2011 in New Orleans, Louisiana. The aim of the volume
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预订 Topology for Computing [ISBN:9780521136099] 【全球购】进口原版图书,约5-8周到达国内后发出
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【预订】Topology for Computing Y9780521836661 美国库房发货,通常付款后3-5周到货!
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预订Topology for Computing 预订,预计下单后3-6周左右发货!
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The emerging field of computational topology utilizes theoryfrom topology and the power of computing to solve problems indiverse fields. Recent applications include computer graphics,computer-aided design (CAD), and structural biology, all of whichinvolve understanding the intrinsic shape of some real or abstractspace. A primary goal of this book is to present basic conceptsfrom topology and Morse theory to enable a non-specialist to graspand participate in current research in computational topology. Theauthor gives a self-contained presentation of the mathematicalconcepts from a computer scientist's point of view, combining pointset topology, algebraic topology, group theory, differentialmanifolds, and Morse theory. He also presents some recent advancesin the area, including topological persistence and hierarchicalMorse complexes. Throughout, the focus is on computationalchallenges and on presenting algorithms and data structures whenappropriate. ? Presents classical topological subject of Morse
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