基本信息 书名:时代教育国外高校优秀教材精选:线性代数引论 定价：59.00元 作者:[美] 李W·约翰逊 等 著 出版社：机械工业出版社 出版日期：2012-07-01 ISBN：9787111106289 字数： 页码：616 版次：5 装帧：平装 开本：16开 商品重量： 编辑推荐 《时代教育国外高校优秀教材精选：线性代数引论（英文版·原书第5版）》系统新颖、内容丰富、联系实际、语言通畅，且结合数学软件提供了一个现代化的学习环境，相对于国内现行教学大纲，教师便于取舍内容组织教学，不失为一本很好的教科书和教学参考书。本书可供理工科、经济管理各专业学生作为学习线性代数的教科书或教学参考书，也可供科技人员和自学者参考。 内容提要 《时代教育国外高校优秀教材精选：线性代数引论（英文版·原书第5版）》内容覆盖了我国现行理工科大学线性代数课程的全部内容，与我国现行的线性代数教学大纲和教材体系比较接近。其中包括矩阵与线性方程组、二维和三维空间、向量空间Rn、特征值问题、向量空间和线性变换、行列式、特征值及其应用等。本书的编写采用模块式结构，便于广大教师根据教学需要对内容进行取舍。本书通过例子介绍了非常流行的教学软件Matlab在线性代数中的应用，并且每章结尾都附有专门用Matlab做的练习题。《时代教育国外高校优秀教材精选：线性代数引论（英文版·原书第5版）》可供理工科、经济管理各专业学生作为教科书或参考书。也可供科技人员和自学者参考。 目录 MATRICES AND SYSTEMS OF LINEAR EQUATIONS1.1 Introductioto Matrices and Systems of Linear Equatio 1.2 EcheloForm and Gauss-JordaElimination1.3 Co istent Systems of Linear Equatio 1.4 Applicatio （Optional）1.5 Matrix Operatio 1.6 Algebraic Properties of Matrix Operatio 1.7 Linear Independence and No ingular Matrices1.8 Data Fitting, Numerical Integration, and Numerical Differentiatio（Optional）1.9 Matrix Inve es and Their PropertiesVECTORS IN 2-SPACE AND 3-SPACE2.1 Vecto ithe Plane2.2 Vecto iSpace2.3 The Dot Product and the Cross Product2.4 Lines and Planes iSpaceTHE VECTOR SPACE Rn3.1 Introduction3.2 Vector Space Properties of Rn3.3 Examples of Subspaces3.4 Bases for Subspaces3.5 Dime ion3.6 Orthogonal Bases for Subspaces3.7 Linear Tra formatio from Rto Rm3.8 Least-Squares Solutio to Inco istent Systems, with Applicatio to Data Fitting3.9 Theory and Practice of Least SquaresTHE EIGENVALUE PROBLEM4.1 The Eigenvalue Problem for （2x2） Matrices4.2 Determinants and the Eigenvalue Problem4.3 Elementary Operatio and Determinants （Optional）4.4 Eigenvalues and the Characteristic Polynomial4.5 Eigenvecto and Eige paces4.6 Complex Eigenvalues and Eigenvecto 4.7 Similarity Tra formatio and Diagonalization4.8 Difference Equatio ; Markov Chai ; Systems of Differential Equatio （Optional）VECTOR SPACES AND LINEAR TRANSFORMATIONS5.1 Introduction5.2 Vector Spaces5.3 Subspaces5.4 Linear Independence, Bases, and Coordinates5.5 Dime ion5.6 Inner-Product Spaces, Orthogonal Bases, and Projectio （Optional）5.7 Linear Tra formatio 5.8 Operatio with Linear Tra formatio 5.9 Matrix Representatio for Linear Tra formatio 5.10 Change of Basis and DiagonalizationDETERMINANTS6.1 Introduction6.2 Cofactor Expa io of Determinants6.3 Elementary Operatio and Determinants6.4 Cramer's Rule6.5 Applicatio of Determinants: Inve es and Wronksia EIGENVALUES AND APPLICATIONS7.1 Quadratic Forms7.2 Systems of Differential Equatio 7.3 Tra formatioto Hessenberg Form7.4 Eigenvalues of Hessenberg Matrices7.5 Householder Tra formatio 7.6 The QR Factorizatioand Least-Squares Solutio 7.7 Matrix Polynomials and the Cayley-HamiltoTheorem7.8 Generalized Eigenvecto and Solutio of Systems of Differential Equatio APPENDIX: AN INTRODUCTION TO MATLABANSWERS TO SELECTED ODD-NUMBERED EXERCISESINDEX 作者介绍
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