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The less is more linear algebra of vector spaces and matrices

The less is more linear algebra of vector spaces and matrices
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Feldname Details
Dewey Class 512.5
Titel The less is more linear algebra of vector spaces and matrices (M) / Daniela Calvetti, Erkki Somersalo
Verfasser Calvetti, Daniela
Added Personal Name Somersalo, Erkki
Veröffentl Philadelphia : SIAM , 2023
Physical Details xii, 168 pages ; 25 cm
Reihe 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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