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2025-03-21
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2025
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.
A great book to review the knowledge!!!! 真正的牛人是能把很复杂的东西说的很简单,回味啊
评分Matrix rules.
评分可以把极为复杂的概念用非常通俗的语言讲解清楚,这就是Gibert Strang的魅力。系里的Goodman同志也在开这课,有时间去体验一把。 觉得跟国内的非常不同的地方在于,这本书可以告诉你如何获得真正概念,非常抽象地思考线性代数的问题,而不是怎么算行列式行变换列变换学了考了半月就还老师的东西。 据说李尚志的书不错,还有Meyer的,下一步接着看。
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。
注:内容摘录自Recountings That’s a style that has developed. And it’s still there: the new book will be quite personal. I’m sure that many readers don’t approve of a conversational style, but others say to me, “I can hear you speaking as I read your bo...
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Linear Algebra and its applications及 Introduction to Linear Algebra 是同一作者的书。从内容上看,后者在应用部分更有所增强。但是基本理论和观点,侧重点基本相同。 Linear Algebra and its applications是作者80年代所用的教材,而Introduction to Linear Algebra是90...
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...
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2025