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Synopsis
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.
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From the Back Cover
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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- PublisherSpringer
- Publication date2004
- ISBN 10 0387408533
- ISBN 13 9780387408538
- BindingHardcover
- LanguageEnglish
- Number of pages500
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Computational homology. Applied Mathematical Sciences; Vol. 157.
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Hardcover. XVII, 480 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04297 9780387408538 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2490527
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Computational Homology (Applied Mathematical Sciences, 157)
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book by three experts takes a novel combinatorial computational approach to the subject of homologyIt is the first book of its kind to appearThis book by three experts takes a novel combinatorial computational approach to the subje. Seller Inventory # 5910343
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Computational Homology
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 tocomputational 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. 500 pp. Englisch. Seller Inventory # 9780387408538
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Computational Homology
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Computational Homology
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Buch. Condition: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 504 pp. Englisch. Seller Inventory # 9780387408538
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Computational Homology (Applied Mathematical Sciences, 157)
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