内容提要 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。 目录 Foreword(Originally in Chinese)Preface(for the English Translation edition)A Note from the TranslatorExplanation for the Special Notational DeviceChapter 0 Integers,Number Fields and PolynomialsPart 1 General Theory of Systems of Linear Equations IntroductionChapter 1 Algebra of MatricesChapter 2 The Determinant Method for a Special Class of Lin-ear Equations(Cramer's Rule)Chapter 3 General Theory of Systems of Linear EquationsChapter 4 Linear Spaces and Systmes of Linear EquationsChapter 5 Symmetric Bilinear Metric Spaces and Systems of Linear EquationsPart 2 The Principal Axes Problem of Real Quadratic FormsChapter 6 Linear Transformations on Linear SpacesChapter 7 A Class of Direct Sum Decompositions of Linear Spaces Relative to Linear TransformationsChapter 8 Two Classes of Linear Transformations on Euclidean Spaces and the Principal Axes Problem of Quadr-atic FormsChapter 9 Further Development——Similarity Canonical Forms of MatricesBibliographyIndex 作者介绍
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