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 ...

Computational Homology 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441923547

Trade paperback

Computational Homology 2004, Springer, New York, NY

ISBN-13: 9780387408538

2004 edition