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2025-06-05
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.
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评分基本是课堂讲义,Strang牛啊
评分本教材在知识点编排方面和国内教材相比区别很大,提供了一个全新的思路,另外作者更喜欢通过简单具体的实例而不是直接给出严谨的证明过程来讲述深层的定理和性质。我相信这些基础的实例是有其存在的价值的,然而作者似乎在证明方面放了不少水,想看严格证明过程得另外找。第八到第十章介绍了线性代数在许多领域的应用,覆盖面很广,篇幅却很有限,一个小节的话题基本上可以扩展成一本书了,所以后三章作者写得很快,不适合初学者。最后,这本线代教材有不少的毛病:语言口语化、逻辑松散、经常出现结构不完整的句子还有很突兀地配在公式旁边的说明文字,给人一种从ppt里面把文字挑出来然后拼成一本textbook的感觉。所以,如果想通过阅读教材来培养学术英文写作的话,这本教材是完全无法满足这个目的。应该作为视频的配套材料来使用。
评分这本书非常不知所云 但是写书的教授上课上的意外的好.. MIT linear Algebra公开课太赞了
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 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...
评分实在是很棒的一本教科书,我在教学当中接触到该书以后,不由自主就想把它翻译过来,毕竟多数读者用英语直接阅读还存在一些困难。历时一年完成了翻译,现在到了和出版社接洽的时候了。(本人已经和原作者进行了联系。)广大读者的支持将有助于本书的出版!
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2025