Computational Homology

Collection Applied Mathematical Sciences

480 pages, parution le 02/03/2004

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Résumé

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.

Written for:
Graduate students and researchers in mathematics

Sommaire

Part I Homology
- Preview
- Cubical Homology
- Computing Homology Groups
- Chain Maps and Reduction Algorithms
- Preview of Maps
- Homology of Maps
- Computing Homology of Maps
Part II Extensions
- Prospects in Digital Image Processing
- Homological Algebra
- Nonlinear Dynamics
- Homology of Topological Polyhedra
Part III Tools from Topology and Algebra
- Topology
- Algebra
- Syntax of Algorithms

References
Symbol Index
Subject Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Collection	Applied Mathematical Sciences
Parution	02/03/2004
Nb. de pages	480
Format	16 x 24
Couverture	Broché
Poids	840g
Intérieur	Noir et Blanc
EAN13	9780387408538
ISBN13	978-0-387-40853-8