Computational Homology
| By: | Tomasz Kaczynski; Konstantin Mischaikow; Marian Mrozek |
| Publisher: | Springer Nature |
| Print ISBN: | 9780387408538 |
| eText ISBN: | 9780387215976 |
| Edition: | 0 |
| Copyright: | 2004 |
| Format: | Page Fidelity |
eBook Features
Instant Access
Purchase and read your book immediately
Read Offline
Access your eTextbook anytime and anywhere
Study Tools
Built-in study tools like highlights and more
Read Aloud
Listen and follow along as Bookshelf reads to you
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.