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Library,Documentation and Information Science Division

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-P.C.Mahalanobis


Persistence theory : from quiver representations to data analysis / (Record no. 420765)

MARC details
000 -LEADER
fixed length control field 02228cam a22002538i 4500
001 - CONTROL NUMBER
control field 136735
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160407152147.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 150810s2015 riu b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470425456 (alk. paper)
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
Language of cataloging eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510MS
Edition number 23
Item number Am512
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Oudot, Steve Y.
245 10 - TITLE STATEMENT
Title Persistence theory : from quiver representations to data analysis /
Statement of responsibility, etc Steve Y. Oudot.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Providence :
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc 2015.
300 ## - PHYSICAL DESCRIPTION
Extent viii, 218 p. :
Other physical details illustrations (some color) ;
Dimensions 26 cm.
490 0# - SERIES STATEMENT
Series statement Mathematical surveys and monographs ;
Volume number/sequential designation v 209.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Part 1. Theoretical foundations: <br/>1. Algebraic persistence --<br/>2. Topological persistence --<br/>3. Stability --<br/><br/>Part 2. Applications: <br/>4. Topological inference --<br/>5. Topological inference 2.0 --<br/>6. Clustering --<br/>7. Signatures for metric spaces -- <br/><br/>Part 3. Perspectives: <br/>8. New trends in topological data analysis --<br/>9. Further prospects on the theory --<br/>Appendix A. Introduction to quiver theory with a view toward persistence --<br/>Bibliography --<br/>List of figures --<br/>Index.
520 ## - SUMMARY, ETC.
Summary, etc "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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Homology theory.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Lost status Not for loan Home library Current library Date acquired Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 18/03/2016 6640.92 510MS Am512 136735 Books
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