000 -LEADER |
fixed length control field |
a |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
240427b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
978-1-4704-6332-8 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.5 |
Item number |
BIS |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bisgard, James |
245 ## - TITLE STATEMENT |
Title |
Analysis and linear algebra : the singular value decomposition and applications |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
American Mathematical Society, |
Date of publication, distribution, etc |
2021 |
Place of publication, distribution, etc |
Providence : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xviii, 217 p.; |
Other physical details |
ill., |
Dimensions |
21 cm |
365 ## - TRADE PRICE |
Price amount |
59.00 |
Price type code |
$ |
Unit of pricing |
86.30 |
490 ## - SERIES STATEMENT |
Series statement |
Student mathematical library |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and indexes.
|
520 ## - SUMMARY, ETC. |
Summary, etc |
This book provides an elementary analytically inclined journey to a fundamental result of linear algebra: the Singular Value Decomposition (SVD). SVD is a workhorse in many applications of linear algebra to data science. Four important applications relevant to data science are considered throughout the book: determining the subspace that ""best'' approximates a given set (dimension reduction of a data set); finding the ""best'' lower rank approximation of a given matrix (compression and general approximation problems); the Moore-Penrose pseudo-inverse (relevant to solving least squares problems); and the orthogonal Procrustes problem (finding the orthogonal transformation that most closely transforms a given collection to a given configuration), as well as its orientation-preserving version. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematical analysis |
|
Topical term or geographic name as entry element |
Normed Vector Spaces |
|
Topical term or geographic name as entry element |
Symmetric matrix |
|
Topical term or geographic name as entry element |
Spectral Theorem |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |