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Computational homology

Author: Tomasz Kaczynski; Konstantin Michael Mischaikow; Marian Mrozek
Publisher: New York : Springer, ©2004.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 157.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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."--Jacket.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kaczynski, Tomasz.
Computational homology.
New York : Springer, ©2004
(DLC) 2003061109
(OCoLC)52814178
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Tomasz Kaczynski; Konstantin Michael Mischaikow; Marian Mrozek
ISBN: 0387215972 9780387215976 9781441923547 1441923543 1280189347 9781280189340 661018934X 9786610189342
OCLC Number: 55897585
Language Note: English.
Description: 1 online resource (xvii, 480 pages) : illustrations
Contents: Preview --
Cubical Homology --
Computing Homology Groups --
Chain Maps and Reduction Algorithms --
Preview of Maps --
Homology of Maps --
Computing Homology of Maps --
Prospects in Digital Image Processing --
Homological Algebra --
Nonlinear Dynamics --
Homology of Topological Polyhedra --
Topology --
Algebra --
Syntax of Algorithms --
References --
Symbol Index --
Subject Index.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 157.
Responsibility: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek.

Abstract:

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further  Read more...

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From the reviews:"...This is an interesting and unusual book written with the intention of serving several purposes. One of them is to demonstrate that methods of algebraic topology, in particular Read more...

 
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