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.
| ISBN: | 9781441923547 |
| Publication date: | 1st December 2010 |
| Author: | Tomasz Kaczynski, Konstantin Michael Mischaikow, Marian Mrozek |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Paperback |
| Pagination: | 480 pages |
| Series: | Applied Mathematical Sciences |
| Genres: |
Topology Algebraic topology Cybernetics and systems theory Numerical analysis Algebra Applied mathematics |