Computational Homology

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  • Computational Homology Book Detail

  • Author : Tomasz Kaczynski
  • Release Date : 2006-04-18
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 488
  • ISBN 13 : 0387215972
  • File Size : 25,25 MB

Computational Homology by Tomasz Kaczynski PDF Summary

Book Description: 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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Computational Homology

Computational Homology

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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 comp

Computational Homology

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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 comp

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Computational Homology

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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 comp

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Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting wi

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Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies