Topological Persistence in Geometry and Analysis

Topological Persistence in Geometry and Analysis
Author :
Publisher : American Mathematical Soc.
Total Pages : 143
Release :
ISBN-10 : 9781470454951
ISBN-13 : 1470454955
Rating : 4/5 (955 Downloads)

Book Synopsis Topological Persistence in Geometry and Analysis by : Leonid Polterovich

Download or read book Topological Persistence in Geometry and Analysis written by Leonid Polterovich and published by American Mathematical Soc.. This book was released on 2020-05-11 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.

Topological Persistence in Geometry and Analysis Related Books

Topological Persistence in Geometry and Analysis
Language: en
Pages: 143
Authors: Leonid Polterovich
Categories: Education
Type: BOOK - Published: 2020-05-11 - Publisher: American Mathematical Soc.

GET EBOOK

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

GET EBOOK

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.

GET EBOOK

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
Topological Data Analysis with Applications
Language: en
Pages: 233
Authors: Gunnar Carlsson
Categories: Computers
Type: BOOK - Published: 2021-12-16 - Publisher: Cambridge University Press

GET EBOOK

This timely text introduces topological data analysis from scratch, with detailed case studies.
Geometric and Topological Inference
Language: en
Pages: 247
Authors: Jean-Daniel Boissonnat
Categories: Computers
Type: BOOK - Published: 2018-09-27 - Publisher: Cambridge University Press

GET EBOOK

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.