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The less is more linear algebra of vector spaces and matrices
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Catalogue Information
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Details
Dewey Class
512.5
Title
The less is more linear algebra of vector spaces and matrices (M) / Daniela Calvetti, Erkki Somersalo
Author
Calvetti, Daniela
Added Personal Name
Somersalo, Erkki
Publication
Philadelphia : SIAM , 2023
Physical Details
xii, 168 pages ; 25 cm
Series
Other Titles in Applied Mathematics
; 187
ISBN
9781611977394
Summary Note
"Designed for a proof-based course on linear algebra, this rigorous and concise textbook intentionally introduces vector spaces, inner products, and vector and matrix norms before Gaussian elimination and eigenvalues so students can quickly discover the singular value decomposition-arguably the most enlightening and useful of all matrix factorizations. Gaussian elimination is then introduced after the SVD and the four fundamental subspaces and is presented in the context of vector spaces rather than as a computational recipe. This allows the authors to use linear independence, spanning sets and bases, and the four fundamental subspaces to explain and exploit Gaussian elimination and the LU factorization, as well as the solution of overdetermined linear systems in the least squares sense and eigenvalues and eigenvectors. Includes examples focused on concepts rather than the mechanics of linear algebra and problems at the end of each chapter that encourage readers to explore how to use the notions introduced in the chapter in a variety of ways"-- Provided by publisher.:
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Subject References:
Algebras, Linear
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Authors:
Calvetti, Daniela
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Somersalo, Erkki
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Series:
Other Titles in Applied Mathematics
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Classification:
512.5
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0000000044769
519.6 CAL
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