Computational Homology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2004
|
| Schriftenreihe: | Applied Mathematical Sciences
157 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVIII, 482 p) |
| ISBN: | 9780387215976 9781441923547 |
| ISSN: | 0066-5452 |
| DOI: | 10.1007/b97315 |
Internformat
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| 500 | |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 | 4 | |a Mathematics | |
| 650 | 4 | |a Algebra | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Computer science / Mathematics | |
| 650 | 4 | |a Algebraic topology | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Category Theory, Homological Algebra | |
| 650 | 4 | |a Dynamical Systems and Ergodic Theory | |
| 650 | 4 | |a Computational Mathematics and Numerical Analysis | |
| 650 | 4 | |a Algebraic Topology | |
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Datensatz im Suchindex
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| author | Kaczynski, Tomasz |
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| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/b97315 |
| format | Electronic eBook |
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| id | DE-604.BV042418928 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387215976 9781441923547 |
| issn | 0066-5452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854345 |
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| physical | 1 Online-Ressource (XVIII, 482 p) |
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| publishDate | 2004 |
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| publisher | Springer New York |
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| series2 | Applied Mathematical Sciences |
| spelling | Kaczynski, Tomasz Verfasser aut Computational Homology by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek New York, NY Springer New York 2004 1 Online-Ressource (XVIII, 482 p) txt rdacontent c rdamedia cr rdacarrier Applied Mathematical Sciences 157 0066-5452 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 Mathematics Algebra Differentiable dynamical systems Computer science / Mathematics Algebraic topology Applications of Mathematics Category Theory, Homological Algebra Dynamical Systems and Ergodic Theory Computational Mathematics and Numerical Analysis Algebraic Topology Informatik Mathematik Homologie (DE-588)4141951-0 gnd rswk-swf Homologie (DE-588)4141951-0 s 1\p DE-604 Mischaikow, Konstantin Sonstige oth Mrozek, Marian Sonstige oth https://doi.org/10.1007/b97315 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kaczynski, Tomasz Computational Homology Mathematics Algebra Differentiable dynamical systems Computer science / Mathematics Algebraic topology Applications of Mathematics Category Theory, Homological Algebra Dynamical Systems and Ergodic Theory Computational Mathematics and Numerical Analysis Algebraic Topology Informatik Mathematik Homologie (DE-588)4141951-0 gnd |
| subject_GND | (DE-588)4141951-0 |
| title | Computational Homology |
| title_auth | Computational Homology |
| title_exact_search | Computational Homology |
| title_full | Computational Homology by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek |
| title_fullStr | Computational Homology by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek |
| title_full_unstemmed | Computational Homology by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek |
| title_short | Computational Homology |
| title_sort | computational homology |
| topic | Mathematics Algebra Differentiable dynamical systems Computer science / Mathematics Algebraic topology Applications of Mathematics Category Theory, Homological Algebra Dynamical Systems and Ergodic Theory Computational Mathematics and Numerical Analysis Algebraic Topology Informatik Mathematik Homologie (DE-588)4141951-0 gnd |
| topic_facet | Mathematics Algebra Differentiable dynamical systems Computer science / Mathematics Algebraic topology Applications of Mathematics Category Theory, Homological Algebra Dynamical Systems and Ergodic Theory Computational Mathematics and Numerical Analysis Algebraic Topology Informatik Mathematik Homologie |
| url | https://doi.org/10.1007/b97315 |
| work_keys_str_mv | AT kaczynskitomasz computationalhomology AT mischaikowkonstantin computationalhomology AT mrozekmarian computationalhomology |