ENGLISH

Computational Homology

By Tomasz Kaczynski , Konstantin Mischaikow , Marian Mrozek (auth.)

Book information

Publisher
Springer-Verlag New York
Year
2004
ISBN
9780387408538, 0-387-40853-3
DOI
10.1007/b97315
Open Library ID
OL7445856M
Language
english
Format
DJVU
Filesize
4 MB (3945623 bytes)
Series
Applied Mathematical Sciences 157
Edition
1
Pages
482\499
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Applications of Mathematics; Category TheoryHomological Algebra; Dynamical Systems and Ergodic

Description

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.

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