作者简介: "作者GILBERT STRANG为Massachusetts Institute of Technology数学系教授。从UCLA博士毕业后一直在MIT任教.教授的课程有“数据分析的矩阵方法”“线性代数”“计算机科学与工程”等,出版的图书有Linear Algebra and Learning from Data (NEW)、See math.mit.edu/learningfromdata、Introduction to Linear Algebra - Fifth Edition 、Contact linearalgebrabook@gmail.com、Complete List of Books and Articles、Differential Equations and Linear Algebra。 " 主编推荐: Gilbert Strang的《线性代数(第5版)》是一本经典线性代数教材。此书深入浅出地展示了线性代数的所有核心概念,讲述过程中恰当穿插了各种应用,体现了线性代数特别有用的思想。 精彩内容: Preface
I am happy for you to see this Fifth Edition of Introduction to Linear Algebra. This is the text for my video lectures on MIT’s OpenCourseWare (ocw.mit.edu and also YouTube). I hope those lectures will be useful to you (maybe even enjoyable !). Hundreds of colleges and universities have chosen this textbook for their basic linear algebra course. A sabbatical gave me a chance to prepare two new chapters about probability and statistics and understanding data. Thousands of other improvements too— probably only noticed by the author. . . Here is a new addition for students and all readers: Every section opens with a brief summary to explain its contents. When you read a new section, and when you revisit a section to review and organize it in your mind, those lines are a quick ... 内容简介: 线性代数内容包括行列式、矩阵、线性方程组与向量、矩阵的特征值与特征向量、二次型及Mathematica 软件的应用等。 每章都配有习题,书后给出了习题答案。本书在编写中力求重点突出、由浅入深、 通俗易懂,努力体现教学的适用性。本书可作为高等院校工科专业的学生的教材,也可作为其他非数学类本科专业学生的教材或教学参考书。 目录: Table of Contents 1 Introduction to Vectors 1 1 1 VectorsandLinearCombinations 2
1 2 LengthsandDotProducts 11
1 3 Matrices 22
2 Solving Linear Equations 31 2 1 VectorsandLinearEquations 31
2 2 TheIdeaofElimination 46
2 3 EliminationUsingMatrices 58
2 4 RulesforMatrixOperations 70
2 5 InverseMatrices 83
2 6 Elimination = Factorization: A = LU 97
2 7 TransposesandPermutations 108
3 Vector Spaces and Subspaces 122 3 1 SpacesofVectors 122
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