出版社:科学出版社
年代:2007
定价:28.0
本书分为上,下两篇,上篇介绍矩阵代数,行列式,线性空间,对称双线性空间,Euclid空间等,下篇介绍线性变换,线性空间关于线性变换的一类直和分解,正交与对称变换。
Foreword(OriginallyinChinese)
Preface(fortheEnglishTranslationedition)
ANotefromtheTranslator
ExplanationfortheSpecialNotationalDevice
Chapter0Integers,NumberFieldsandPolynomials
Part1GeneralTheoryofSystemsofLinearEquationsIntroduction
Chapter1AlgebraofMatrices
Chapter2TheDeterminantMethodforaSpecialClassofLin-earEquations(CramersRule)
Chapter3GeneralTheoryofSystemsofLinearEquations
Chapter4LinearSpacesandSystmesofLinearEquations
Chapter5SymmetricBilinearMetricSpacesandSystemsofLinearEquations
Part2ThePrincipalAxesProblemofRealQuadraticForms
Chapter6LinearTransformationsonLinearSpaces
Chapter7AClassofDirectSumDecompositionsofLinearSpacesRelativetoLinearTransformations
Chapter8TwoClassesofLinearTransformationsonEuclideanSpacesandthePrincipalAxesProblemofQuadr-aticForms
Chapter9FurtherDevelopmentSimilarityCanonicalFormsofMatrices
Bibliography
Index
本书是一部关于线性代数的全英文教材。全书内容以线性空间和线性变换为基础展开,从而使各章内容之间内在联系紧密,给教学带来方便。