Linear Algebra, (2 판 | Paperback)

Linear Algebra, (2 판 | Paperback)

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Vendor: Prentice-Hall - Hoffman
Type: 과학/공학
SKU: 9788945006349
Categories: ALL BOOKS zero weight
Tags: LinearAlgebra2판Paperback 한국소개도서_한국판 원서교재
Description
This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems.
저자

Hoffman

목차

LINEAREQUATIONS1(27)
FIELDS1(2)
SYSTEMSOFLINEAREQUATIONS3(3)
MATRICESANDELEMENTARYROWOPERATIONS6(5)
ROW-REDUCEDECHELONMATRICES11(5)
MATRIXMULTIPLICATION16(5)
INVERTIBLEMATRICES21(7)
VECTORSPACES28(39)
VECTORSPACES28(6)
SUBSPACES34(6)
BASESANDDIMENSION40(9)
COORDINATES49(6)
SUMMARYOFROW-EQUIVALENCE55(3)
COMPUTATIONSCONCERNINGSUBSPACES58(9)
LINEARTRANSFORMATIONS67(50)
LINEARTRANSFORMATIONS67(7)
THEALGEBRAOFLINEARTRANSFORMATIONS74(10)
ISOMORPHISM84(2)
REPRESENTATIONOFTRANSFORMATIONSBY86(11)
MATRICES
LINEARFUNCTIONALS97(10)
THEDOUBLEDUAL107(4)
THETRANSPOSEOFALINEARTRANSFORMATION111(6)
POLYNOMIALS117(23)
ALGEBRAS117(2)
THEALGEBRAOFPOLYNOMIALS119(5)
LAGRANGEINTERPOLATION124(3)
POLYNOMIALIDEALS127(7)
THEPRIMEFACTORIZATIONOFAPOLYNOMIAL134(6)
DETERMINANTS140(41)
COMMUTATIVERINGS140(1)
DETERMINANTFUNCTIONS141(9)
PERMUTATIONSANDTHEUNIQUENESSOF150(6)
DETERMINANTS
ADDITIONALPROPERTIESOFDETERMINANTS156(8)
MODULES164(2)
MULTILINEARFUNCTIONS166(7)
THEGRASSMANRING173(8)
ELEMENTARYCANONICALFORMS181(46)
INTRODUCTION181(1)
CHARACTERISTICVALUES182(8)
ANNIHILATINGPOLYNOMIALS190(8)
INVARIANTSUBSPACES198(8)
SIMULTANEOUSTRIANGULATION;SIMULTANEOUS206(3)
DIAGONALIZATION
DIRECT-SUMDECOMPOSITIONS209(4)
INVARIANTDIRECTSUMS213(6)
THEPRIMARYDECOMPOSITIONTHEOREM219(8)
THERATIONALANDJORDANFORMS227(43)
CYCLICSUBSPACESANDANNIHILATORS227(4)
CYCLICDECOMPOSITIONSANDTHERATIONALFORM231(13)
THEJORDANFORM244(7)
COMPUTATIONOFINVARIANTFACTORS251(11)
SUMMARY;SEMI-SIMPLEOPERATORS262(8)
INNERPRODUCTSPACES270(49)
INNERPRODUCTS270(7)
INNERPRODUCTSPACES277(13)
LINEARFUNCTIONALSANDADJOINTS290(9)
UNITARYOPERATORS299(12)
NORMALOPERATORS311(8)
OPERATORSONINNERPRODUCTSPACES319(40)
INTRODUCTION319(1)
FORMSONINNERPRODUCTSPACES320(5)
POSITIVEFORMS325(7)
MOREONFORMS332(3)
SPECTRALTHEORY335(14)
FURTHERPROPERTIESOFNORMALOPERATORS349(10)
BILINEARFORMS359(27)
BILINEARFORMS359(8)
SYMMETRICBILINEARFORMS367(8)
SKEW-SYMMETRICBILINEARFORMS375(4)
GROUPSPRESERVINGBILINEARFORMS379(7)
APPENDIX386(14)
A.1.SETS387(1)
A.2.FUNCTIONS388(3)
A.3.EQUIVALENCERELATIONS391(3)
A.4.QUOTIENTSPACES394(3)
A.5.EQUIVALENCERELATIONSINLINEARALGEBRA397(2)
A.6.THEAXIOMOFCHOICE399(1)
BIBLIOGRAPHY400(1)
INDEX401

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