Introduction to Linear Algebra pdf epub mobi txt 电子书 下载 2025
- 数学
- 线性代数
- LinearAlgebra
- 线代
- Linear-Algebra
- 计算机
- Strang
- 教材
- 线性代数
- 矩阵
- 向量
- 方程组
- 特征值
- 行列式
- 内积空间
- 线性变换
- 应用数学
- 高等数学
具体描述
作者简介
Gilbert Strang was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. His Ph.D. was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. Professor Strang has published eleven books:
Differential Equations and Linear Algebra (2014)
Introduction to Linear Algebra (1993,1998,2003,2009)
Linear Algebra and Its Applications (1976,1980,1988,2005)
An Analysis of the Finite Element Method, with George Fix (1973, 2008)
Introduction to Applied Mathematics (1986)
Calculus (1991)
Wavelets and Filter Banks, with Truong Nguyen (1996)
Linear Algebra, Geodesy, and GPS, with Kai Borre (1997)
Computational Science and Engineering (2007)
Essays in Linear Algebra (2012)
Algorithms for Global Positioning, with Kai Borre (2012)
He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world. His home page is math.mit.edu/~gs/ and his video lectures on linear algebra and on computational science and engineering are on ocw.mit.edu (mathematics/18.06 and 18.085).
目录信息
2 Solving Linear Equations
3 Vector Spaces and Subspaces
4 Orthogonality
5 Determinants
6 Eigenvalues and Eigenvectors
7 The Singular Value Decomposition (SVD)
8 Linear Transformations
9 Complex Vectors and Matrices
10 Applications
11 Numerical Linear Algebra
12 Linear Algebra in Probability & Statistics
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读后感
这本书很容易读，你几乎不需要任何大学预备知识，你很吃惊顺着作者的思路下去一些概念就这样被灌输进去了。作者通过研究线性方程组的理论（4种空间如封面所示）揭示了线性代数的重点：线性空间及其性质。 书中的很多地方有很强的几何直观性：比如行列式代表了n维多面体的体积。...
评分Strang教授的这本书可以理解为是泛函知识的下放，强调几何直观性，而不太关心严格的证明。西方有大量的基础教材都采用了类似的方式，即高等知识的直观下放。从知识的高度上讲，比国内一般的工科线性代数的教材高很多。但是从学习难度上讲，又比国内的教材要简单许多。从看了这...
评分这本书写了有3种方法 1.直接通过高斯消元得阶梯阵，然后通过回带求得 2.直接通过公式x=A^(-1)*b求得 3.通过零空间的全解加上一个特解求得 觉得这三种方法之中，还是最原始的消元法最管用，或者说掌握怎么消元是最基本的技巧。 第一种方法中，如果是正方阵，还可消元的A=L...
评分这本书很容易读，你几乎不需要任何大学预备知识，你很吃惊顺着作者的思路下去一些概念就这样被灌输进去了。作者通过研究线性方程组的理论（4种空间如封面所示）揭示了线性代数的重点：线性空间及其性质。 书中的很多地方有很强的几何直观性：比如行列式代表了n维多面体的体积。...
评分这本书很容易读，你几乎不需要任何大学预备知识，你很吃惊顺着作者的思路下去一些概念就这样被灌输进去了。作者通过研究线性方程组的理论（4种空间如封面所示）揭示了线性代数的重点：线性空间及其性质。 书中的很多地方有很强的几何直观性：比如行列式代表了n维多面体的体积。...
用户评价
row picture 和 column picture 的角度看待矩阵很深刻
评分本科的时候可能学了个假线代。配合MIT的18.06视频效果拔群。
评分After being tired of 快速入门 “极限编程” 通过冒烟测试然后迅速淡忘，我选择建筑性地补习线性代数（为了学习机器学习）事实证明糟糕地表达和结构安排造成的隔阂远胜过母语和另一门语言之间地隔阂 国内教材真的太差了 授课顺序也很不合理
评分本科的时候可能学了个假线代。配合MIT的18.06视频效果拔群。
评分row picture 和 column picture 的角度看待矩阵很深刻
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