Computational Homology
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Computational Homology
Author: Tomasz Kaczynski
language: en
Publisher: Springer Science & Business Media
Release Date: 2004-01-09
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.
Computational Homology
Author: Tomasz Kaczynski
language: en
Publisher: Springer Science & Business Media
Release Date: 2006-04-18
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.
Computational Phenotypes
This is a book about language as a species-typical trait of humans. It argues that language is not so exceptional after all, as according to the authors it is just the human version of a rather common and conservative organic system that they refer to as the Central Computational Complex.