ENGLISH

Computational homology

By Tomasz Kaczynski , Konstantin Mischaikow , Marian Mrozek

Book information

Publisher
Springer
Year
2004
ISBN
9780387215976, 9780387408538, 0387408533
Open Library ID
OL7445856M
Language
english
Format
PDF
Filesize
3 MB (2744413 bytes)
Series
Applied Mathematical Sciences
Edition
1
Pages
499\499
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
yes
Time added
2010-07-29 05:14:56

Description

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a computer to develop a combinatorial computational approach to the subject. The core of the book deals with homology theory and its computation. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing. Included are exercises and software that can be used to compute homology groups and maps. The book will appeal to researchers and graduate students in mathematics, computer science, engineering, and nonlinear dynamics.

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