000			03675nam a22003617a 4500
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005			20240625181608.0
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020			_a9781470474195
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.64 _bDYM-L
100	1		_aDym, Harry
245	1	0	_aLinear algebra in action
250			_a3rd ed.
260			_aRhode Island : _bAmerican Mathematical Society, _c2023.
300			_axxiii, 485p.
490			_aGraduate studies in mathematics, _vvolume 232 _x1065-7339 ;
504			_aIncludes bibliographical references and index.
520			_aThis book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
521			_aUndergraduate and graduate students and researchers interested in learning and teaching linear algebra with an emphasis on concrete algorithms.
650		0	_aAlgebras, Linear.
650		7	_aLinear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aFunctions of a complex variable -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aOrdinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aDifference and functional equations -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aFunctional analysis -- Linear function spaces and their duals -- Hilbert spaces with reproducing kernels (= [proper] functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces
650		7	_aConvex and discrete geometry -- Instructional exposition (textbooks, tutorial papers, etc.).
650		7	_aSystems theory; control -- Instructional exposition (textbooks, tutorial papers, etc.).
856			_3Table of Contents _uhttps://books.google.co.in/books?id=_XbxzwEACAAJ&pg=PR7&source=gbs_selected_pages&cad=1#v=onepage&q&f=false
856			_3Index _uhttps://www.ams.org/bookstore/pspdf/gsm-232-index.pdf?_gl=1*1nw4yss*_ga*OTY4OTA1OTY3LjE3MTc5OTU1MTY.*_ga_26G4XFTR63*MTcxOTMwNTI2OC4zLjEuMTcxOTMxOTQ3MC4wLjAuMA..
856			_3Reviews _uhttps://www.goodreads.com/book/show/195951366-linear-algebra-in-action?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35060 _d35060