Topological Persistence in Geometry and Analysis
Language: en
Pages: 128
Authors: Leonid Polterovich
Categories: Education
Type: BOOK - Published: 2020-05-11 - Publisher: American Mathematical Soc.

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The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a conc
Computational Topology for Data Analysis
Language: en
Pages: 456
Authors: Tamal Krishna Dey
Categories: Mathematics
Type: BOOK - Published: 2022-03-10 - Publisher: Cambridge University Press

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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
Persistence Theory: From Quiver Representations to Data Analysis
Language: en
Pages: 229
Authors: Steve Y. Oudot
Categories: Mathematics
Type: BOOK - Published: 2017-05-17 - Publisher: American Mathematical Soc.

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Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t
Research in Computational Topology
Language: en
Pages: 214
Authors: Erin Wolf Chambers
Categories: Mathematics
Type: BOOK - Published: 2018-07-30 - Publisher: Springer

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Based on the first Workshop for Women in Computational Topology that took place in 2016, this volume assembles new research and applications in computational to
Elementary Applied Topology
Language: en
Pages: 0
Authors: Robert W. Ghrist
Categories: Mathematics
Type: BOOK - Published: 2014 - Publisher: Createspace Independent Publishing Platform

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This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in t