线性代数引论（英文版·原书第５版）
| 作者 |
| （美）李W.约翰逊等著 |
| 丛书名 |
| 出版社 |
| 机械工业出版社 |
| ISBN |
| 9787111106289 |
| 简要 |
| 简介 |
| 内容简介书籍数学书籍 《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 EQUATIONS 1.1 Introduction to Matrices and Systems of Linear Equatio 1.2 Echelon Form and Gauss-Jordan Elimination 1.3 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 Matrices 1.8 Data Fitting, Numerical Integration, and Numerical Differentiation （Optional） 1.9 Matrix Inve es and Their Properties VECTORS IN 2-SPACE AND 3-SPACE 2.1 Vecto in the Plane 2.2 Vecto in Space 2.3 The Dot Product and the Cross Product 2.4 Lines and Planes in Space THE VECTOR SPACE Rn 3.1 Introduction 3.2 Vector Space Properties of Rn 3.3 Examples of Subspaces 3.4 Bases for Subspaces 3.5 Dime ion 3.6 Orthogonal Bases for Subspaces 3.7 Linear Tra formatio from Rn to Rm 3.8 Least-Squares Solutio to Inco istent Systems, with Applicatio to Data Fitting 3.9 Theory and Practice of Least Squares THE EIGENVALUE PROBLEM 4.1 The Eigenvalue Problem for （2x2） Matrices 4.2 Determinants and the Eigenvalue Problem 4.3 Elementary Operatio and Determinants （Optional） 4.4 Eigenvalues and the Characteristic Polynomial 4.5 Eigenvecto and Eige paces 4.6 Complex Eigenvalues and Eigenvecto 4.7 Similarity Tra formatio and Diagonalization 4.8 Difference Equatio ; Markov Chai ; Systems of Differential Equatio （Optional） VECTOR SPACES AND LINEAR TRANSFORMATIONS 5.1 Introduction 5.2 Vector Spaces 5.3 Subspaces 5.4 Linear Independence, Bases, and Coordinates 5.5 Dime ion 5.6 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 Diagonalization DETERMINANTS 6.1 Introduction 6.2 Cofactor Expa io of Determinants 6.3 Elementary Operatio and Determinants 6.4 Cramer's Rule 6.5 Applicatio of Determinants: Inve es and Wronksia EIGENVALUES AND APPLICATIONS 7.1 Quadratic Forms 7.2 Systems of Differential Equatio 7.3 Tra formation to Hessenberg Form 7.4 Eigenvalues of Hessenberg Matrices 7.5 Householder Tra formatio 7.6 The QR Factorization and Least-Squares Solutio 7.7 Matrix Polynomials and the Cayley-Hamilton Theorem 7.8 Generalized Eigenvecto and Solutio of Systems of Differential Equatio APPENDIX: AN INTRODUCTION TO MATLAB ANSWERS TO SELECTED ODD-NUMBERED EXERCISES INDEX |
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