✦ LIBER ✦

Computational Homology

✍ Scribed by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek (auth.)

Book ID: 127418913
Publisher: Springer
Year: 2004
Tongue: English
Weight: 4 MB
Edition: 1
Category: Library
City: New York
ISBN: 0387215972
DOI: 10.1007/b97315

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Algebraic Topology

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