Computational Homology

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.Additional ISBNs0387408533, 1441923543, 9780387408538, 9781441923547Computational Homology is written by Tomasz Kaczynski; Konstantin Mischaikow; Marian Mrozek and published by Springer. ISBNs for Computational Homology are 9780387215976, 0387215972 and the print ISBNs are 9780387408538, 0387408533. Additional ISBNs include 0387408533, 1441923543, 9780387408538, 9781441923547.