图书标签: 数学 线性代数 LinearAlgebra MIT 教材 牛人推荐数学书籍 Mathematics Algebra
发表于2024-05-13
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2024
Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'.
Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, fourier methods and the FFT, linear programming, and computer graphics.
Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.
Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.
Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology and an Honorary Fellow of Balliol College, of the University of Oxford, UK. His current research interests include linear algebra, wavelets and filter banks, applied mathematics, and engineering mathematics. He is the author or co-author of six textbooks and has published a monograph with George Fix titled “An Analysis of the Finite Element Method.” Professor Strang served as SIAM’s president from 1999-2000, chaired the U.S. National Committee on Mathematics from 2003–2004, and won the Neumann Medal of the US Association of Computational Mechanics in 2005. He is a fellow of the American Academy of Arts and Sciences.
基本是课堂讲义,Strang牛啊
评分不喜欢…linear transformation那章写得很不清楚。 结构松散,证明从略,细节欠奉,很多推论都放在习题里,导致复习时候很琐碎,不够系统化。 1-7章读完,习题基本过了一遍,习题集很有启发性,推荐做,对正文是很强有力的补充。第8章看了傅里叶级数和统计学应用的两个section。傅里叶级数那部分挺有意思。
评分算美國最好的線代教材了,但看了覺得真不如國內的。
评分不喜欢…linear transformation那章写得很不清楚。 结构松散,证明从略,细节欠奉,很多推论都放在习题里,导致复习时候很琐碎,不够系统化。 1-7章读完,习题基本过了一遍,习题集很有启发性,推荐做,对正文是很强有力的补充。第8章看了傅里叶级数和统计学应用的两个section。傅里叶级数那部分挺有意思。
评分"SVD is the climax of this linear algebra course". =================================== 只看书不刷题是不会有多大提高的...
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 评分1.这本书是用空间的语言讲线性代数,而不是一些计算方法的简单拼凑,而向量空间是线性代数真正发挥作用的领域。 2.这本书阐述了线性代数四大基本定理(秩零,空间之间的关系,行列空间的正交向量,SVD),描述了一个矩阵的四个基本子空间(行空间,列空间,零空间,左零空间)...
评分如果看那个公开课,读此书就算英语不是非常好也能流畅阅览,可以说是将各线代定理直观地展示在人面前,看到线代真正的精妙与威力,抓住了核心,内容也全,正交的那一章尤其精彩,最小二乘法相当直观,特征值的那章,简单不失深度,作为初步入门是再好不过了,适合大一新生学线...
评分次书是 MIT 线性代数课程的教材,同时Strang 教授的讲课录像也可以在MIT的开放课程网站下载。 就我个人经验来看,线性代数在大学工科里是最为被忽视,而实际上又最为有用的一门数学分支。从信号处理到文本挖掘,到处都是矩阵,矩阵,矩阵。 国内的线性代数教材我很久以前翻...
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2024