✦ LIBER ✦

Computational Homology

✍ Scribed by Tomasz Kaczynski, Konstantin Mischaikow, Marian Mrozek

Book ID: 127448622
Publisher: Springer
Year: 2010
Tongue: English
Weight: 3 MB
Series: Applied Mathematical Sciences
Edition: 1st Edition.
Category: Library
ISBN: 1441923543

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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