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Computational Homology
Buch von Tomasz Kaczynski (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

This interdisciplinary book uses the computer to take a combinatorial computational approach to homological problems. It will appeal especially to researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 500
Reihe: Applied Mathematical Sciences
Inhalt: xviii
482 S.
78 s/w Illustr.
9 s/w Fotos
69 s/w Zeichng.
ISBN-13: 9780387408538
ISBN-10: 0387408533
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Kaczynski, Tomasz
Mrozek, Marian
Mischaikow, Konstantin
Auflage: 2004
Hersteller: Springer US
Springer New York
Applied Mathematical Sciences
Maße: 241 x 160 x 33 mm
Von/Mit: Tomasz Kaczynski (u. a.)
Erscheinungsdatum: 09.01.2004
Gewicht: 0,91 kg
preigu-id: 102481352
Zusammenfassung

This interdisciplinary book uses the computer to take a combinatorial computational approach to homological problems. It will appeal especially to researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 500
Reihe: Applied Mathematical Sciences
Inhalt: xviii
482 S.
78 s/w Illustr.
9 s/w Fotos
69 s/w Zeichng.
ISBN-13: 9780387408538
ISBN-10: 0387408533
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Kaczynski, Tomasz
Mrozek, Marian
Mischaikow, Konstantin
Auflage: 2004
Hersteller: Springer US
Springer New York
Applied Mathematical Sciences
Maße: 241 x 160 x 33 mm
Von/Mit: Tomasz Kaczynski (u. a.)
Erscheinungsdatum: 09.01.2004
Gewicht: 0,91 kg
preigu-id: 102481352
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