By Tomasz Kaczynski

Homology is a robust instrument utilized by mathematicians to review the homes of areas and maps which are insensitive to small perturbations. This ebook makes use of a working laptop or computer to increase a combinatorial computational method of the subject. The middle of the e-book bargains with homology conception and its computation. Following this can be a part containing extensions to extra advancements in algebraic topology, functions to computational dynamics, and purposes to photo processing. integrated are routines and software program that may be used to compute homology teams and maps. The ebook will attract researchers and graduate scholars in arithmetic, laptop technology, engineering, and nonlinear dynamics.

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