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03419nam a22006255i 4500 |
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978-0-387-21597-6 |
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DE-He213 |
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20151204185843.0 |
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cr nn 008mamaa |
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121227s2004 xxu| s |||| 0|eng d |
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|a 9780387215976
|9 978-0-387-21597-6
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|a 10.1007/b97315
|2 doi
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|d GrThAP
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|a QA611-614.97
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|a PBP
|2 bicssc
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|a MAT038000
|2 bisacsh
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|a 514
|2 23
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|a Kaczynski, Tomasz.
|e author.
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|a Computational Homology
|h [electronic resource] /
|c by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek.
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2004.
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| 300 |
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|a XVIII, 482 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Applied Mathematical Sciences,
|x 0066-5452 ;
|v 157
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|a Homology -- Preview -- Cubical Homology -- Computing Homology Groups -- Chain Maps and Reduction Algorithms -- Preview of Maps -- Homology of Maps -- Computing Homology of Maps -- Extensions -- Prospects in Digital Image Processing -- Homological Algebra -- Nonlinear Dynamics -- Homology of Topological Polyhedra -- Tools from Topology and Algebra -- Topology -- Algebra -- Syntax of Algorithms.
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|a 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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|a Mathematics.
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| 650 |
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|a Category theory (Mathematics).
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| 650 |
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|a Homological algebra.
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| 650 |
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|a Dynamics.
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| 650 |
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|a Ergodic theory.
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| 650 |
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|a Applied mathematics.
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| 650 |
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|a Engineering mathematics.
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| 650 |
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|a Computer mathematics.
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| 650 |
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|a Topology.
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| 650 |
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|a Algebraic topology.
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| 650 |
1 |
4 |
|a Mathematics.
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| 650 |
2 |
4 |
|a Topology.
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| 650 |
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|a Applications of Mathematics.
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| 650 |
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4 |
|a Category Theory, Homological Algebra.
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| 650 |
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4 |
|a Dynamical Systems and Ergodic Theory.
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| 650 |
2 |
4 |
|a Computational Mathematics and Numerical Analysis.
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| 650 |
2 |
4 |
|a Algebraic Topology.
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| 700 |
1 |
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|a Mischaikow, Konstantin.
|e author.
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| 700 |
1 |
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|a Mrozek, Marian.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
0 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9781441923547
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| 830 |
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|a Applied Mathematical Sciences,
|x 0066-5452 ;
|v 157
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| 856 |
4 |
0 |
|u http://dx.doi.org/10.1007/b97315
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-BAE
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
|
