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Algebraic foundations for applied topology and data analysis (Record no. 567313)

000 -LEADER
fixed length control field 01822 a2200241 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250103132913.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250103b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783031066665
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.2
Item number Sch27a
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Schenck, Hal
245 ## - TITLE STATEMENT
Title Algebraic foundations for applied topology and data analysis
Statement of responsibility, etc Hal Schenck
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2022
Place of publication Switzerland
300 ## - PHYSICAL DESCRIPTION
Number of Pages xii, 224p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Mathematics of data
490 ## - SERIES STATEMENT
Series statement / edited by Benjamin Gess ...[et al.]
Volume number/sequential designation ; v.1
520 ## - SUMMARY, ETC.
Summary, etc This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA). Covering a wide range of topics at levels of sophistication varying from elementary (matrix algebra) to esoteric (Grothendieck spectral sequence), it offers a mirror of data science aimed at a general mathematical audience.

The required algebraic background is developed in detail. The first third of the book reviews several core areas of mathematics, beginning with basic linear algebra and applications to data fitting and web search algorithms, followed by quick primers on algebra and topology. The middle third introduces algebraic topology, along with applications to sensor networks and voter ranking. The last third covers key contemporary tools in TDA: persistent and multiparameter persistent homology. Also included is a user’s guide to derived functors and spectral sequences (useful but somewhat technical tools which have recently found applications in TDA), and an appendix illustrating a number of software packages used in the field.

Based on a course given as part of a masters degree in statistics, the book is appropriate for graduate students.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Algebraic topology
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Topological algebras
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        On Display PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2025-01-06 60 3742.34 514.2 Sch27a A186645 4989.79 Books

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