Persistence theory : from quiver representations to data analysis /

Persistence theory : from quiver representations to data analysis /

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Bibliographic Details
Author / Creator:Oudot, Steve Y., 1979- author.
Imprint:Providence, Rhode Island : American Mathematical Society, [2015]
©2015
Description:viii, 218 pages : illustrations (some color) ; 26 cm.
Language:English
Series:Mathematical surveys and monographs ; volume 209
Mathematical surveys and monographs ; no. 209.
Subject:
Algebraic topology.
Homology theory.
Algebraic topology.
Homology theory.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/10444435
Hidden Bibliographic Details
ISBN:9781470425456
1470425459
Notes:Includes bibliographical references (pages 197-212) and index.
Summary:"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 the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organizaed into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis"--Back cover.

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