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 |