Algebraic foundations for applied topology and data analysis (Record no. 567313)
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000 -LEADER | |
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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 |
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 |
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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 |