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Science/Engineering Computational Homology

Posted on 2010-03-15




Name:Science/Engineering Computational Homology
ASIN/ISBN:0387408533
Language:English
File size:3.64 Mb
ISBN: 0387408533
Publish Date: January 9, 2004
File Type: PDF (OCR)
Pages: 480 pages
File Size: 3.64 MB
Other Info: Springer
   Science/Engineering Computational Homology

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Computational Homology (Applied Mathematical Sciences): Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek

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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