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121227s2004 xxu| s |||| 0|eng d |
| 020 |
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|a 9780387215976
|9 978-0-387-21597-6
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| 024 |
7 |
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|a 10.1007/b97315
|2 doi
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| 050 |
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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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| 245 |
1 |
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|a Computational Homology
|c by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek.
|h [electronic resource] /
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| 264 |
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1 |
|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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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Applied Mathematical Sciences,
|v 157
|x 0066-5452 ;
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| 505 |
0 |
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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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| 520 |
# |
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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.
|
| 650 |
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0 |
|a Mathematics.
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| 650 |
# |
0 |
|a Category theory (Mathematics).
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| 650 |
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0 |
|a Homological algebra.
|
| 650 |
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0 |
|a Dynamics.
|
| 650 |
# |
0 |
|a Ergodic theory.
|
| 650 |
# |
0 |
|a Applied mathematics.
|
| 650 |
# |
0 |
|a Engineering mathematics.
|
| 650 |
# |
0 |
|a Computer mathematics.
|
| 650 |
# |
0 |
|a Topology.
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| 650 |
# |
0 |
|a Algebraic topology.
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| 650 |
1 |
4 |
|a Mathematics.
|
| 650 |
2 |
4 |
|a Topology.
|
| 650 |
2 |
4 |
|a Applications of Mathematics.
|
| 650 |
2 |
4 |
|a Category Theory, Homological Algebra.
|
| 650 |
2 |
4 |
|a Dynamical Systems and Ergodic Theory.
|
| 650 |
2 |
4 |
|a Computational Mathematics and Numerical Analysis.
|
| 650 |
2 |
4 |
|a Algebraic Topology.
|
| 700 |
1 |
# |
|a Mischaikow, Konstantin.
|e author.
|
| 700 |
1 |
# |
|a Mrozek, Marian.
|e author.
|
| 710 |
2 |
# |
|a SpringerLink (Online service)
|
| 773 |
0 |
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|t Springer eBooks
|
| 776 |
0 |
8 |
|i Printed edition:
|z 9781441923547
|
| 830 |
# |
0 |
|a Applied Mathematical Sciences,
|v 157
|x 0066-5452 ;
|
| 856 |
4 |
0 |
|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/b97315
|z View fulltext via EzAccess
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| 912 |
# |
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|a ZDB-2-SMA
|
| 912 |
# |
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|a ZDB-2-BAE
|
| 950 |
# |
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|a Mathematics and Statistics (Springer-11649)
|