Computational Homology
Contributors: Mrozek, M.; Kaczynski, T.
Publisher: Springer
Published: 2003
Language: eng
Format: [electronic resource]
Number of pages: 497
ISBN-13: 9781280189340
Description: 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.