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Matrix Theory: Chapman & Hall/CRC Pure and Applied Mathematics

Autor Robert Piziak, P. L. Odell
en Limba Engleză Paperback – 29 aug 2019
In1990,theNationalScienceFoundationrecommendedthateverycollegemathematicscurriculumshouldincludeasecondcourseinlinearalgebra.Inanswertothisrecommendation,MatrixTheory:FromGeneralizedInversestoJordanFormprovidesthematerialforasecondsemesteroflinearalgebrathatprobesintroductorylinearalgebraconceptswhilealsoexploringtopicsnottypicallycoveredinasophomore-levelclass.Tailoringthematerialtoadvancedundergraduateandbeginninggraduatestudents,theauthorsofferinstructorsflexibilityinchoosingtopicsfromthebook.Thetextfirstfocusesonthecentralproblemoflinearalgebra:solvingsystemsoflinearequations.ItthendiscussesLUfactorization,derivesSylvester'srankformula,introducesfull-rankfactorization,anddescribesgeneralizedinverses.Afterdiscussionsonnorms,QRfactorization,andorthogonality,theauthorsprovetheimportantspectraltheorem.Theyalsohighlighttheprimarydecompositiontheorem,Schur'striangularizationtheorem,singularvaluedecomposition,andtheJordancanonicalformtheorem.Thebookconcludeswithachapteronmultilinearalgebra.Withthisclassroom-testedtextstudentscandelveintoelementarylinearalgebraideasatadeeperlevelandprepareforfurtherstudyinmatrixtheoryandabstractalgebra.
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Specificații

ISBN-13: 9780367389437
ISBN-10: 0367389436
Pagini: 568
Ilustrații: 1000 equations; 3 Tables, black and white; 27 Illustrations, black and white
Dimensiuni: 152 x 229 mm
Greutate: 0.61 kg
Editura: Taylor & Francis Ltd.
Colecția Chapman & Hall/CRC Pure and Applied Mathematics
Seria Chapman & Hall/CRC Pure and Applied Mathematics