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Mathematics General

Computational Homology

by (author) Tomasz Kaczynski, Konstantin Mischaikow & Marian Mrozek

Publisher
Springer/Sci-Tech/Trade
Initial publish date
Jan 2004
Category
General
  • Hardback

    ISBN
    9780387408538
    Publish Date
    Jan 2004
    List Price
    $189.95

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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.

About the authors