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Analysis and Linear Algebra : The Singular Value Decomposition and Applicatio...
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Located in: Castle Donington, United Kingdom
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Item specifics
- Condition
- Book Title
- Analysis and Linear Algebra : The Singular Value Decomposition an
- ISBN
- 9781470463328
- Publication Name
- Analysis and Linear Algebra: the Singular Value Decomposition and Applications
- Publisher
- American Mathematical Society
- Subject
- Mathematics
- Publication Year
- 2021
- Series
- Student Mathematical Library
- Type
- Textbook
- Format
- Paperback
- Language
- English
- Item Height
- 216 mm
- Item Weight
- 288 g
- Item Width
- 140 mm
- Number of Pages
- 217 Pages
About this product
Product Information
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. The point of view throughout is analytic. Readers are assumed to have had a rigorous introduction to sequences and continuity. These are generalized and applied to linear algebraic ideas. Along the way to the SVD, several important results relevant to a wide variety of fields (including random matrices and spectral graph theory) are explored: the Spectral Theorem; minimax characterizations of eigenvalues; and eigenvalue inequalities. By combining analytic and linear algebraic ideas, readers see seemingly disparate areas interacting in beautiful and applicable ways.
Product Identifiers
Publisher
American Mathematical Society
ISBN-13
9781470463328
eBay Product ID (ePID)
25049044344
Product Key Features
Number of Pages
217 Pages
Publication Name
Analysis and Linear Algebra: the Singular Value Decomposition and Applications
Language
English
Subject
Mathematics
Publication Year
2021
Type
Textbook
Series
Student Mathematical Library
Format
Paperback
Dimensions
Item Height
216 mm
Item Weight
288 g
Item Width
140 mm
Additional Product Features
Country/Region of Manufacture
United States
Item description from the seller
Seller business information
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