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MARC 21

The less is more linear algebra of vector spaces and matrices
Tag	Description
020	$a9781611977394
082	$a512.5
099	$a519.6 CAL
100	$aCalvetti, Daniela
245	$aThe less is more linear algebra of vector spaces and matrices$hM$cDaniela Calvetti, Erkki Somersalo
260	$aPhiladelphia$bSIAM$c2023
300	$axii, 168 pages$c25 cm
440	$aOther titles in applied mathematics;$v187
520	$a"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.
700	$aSomersalo, Erkki