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2025-01-22
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.
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"SVD is the climax of this linear algebra course". =================================== 只看书不刷题是不会有多大提高的...
评分视频挺好。
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Gilbert Strang本尊非常友好~ 上一封邮件交流说似乎要出中文版了
需要每周约定时间在线交流。无时间无意愿者,毋加!无时间无意愿者,毋加!无时间无意愿者,毋加!重要的事说三遍。 时间最好是安排在,周一至周五晚上,或者周末全天,的某个时间。每周末会在群里讨论下周时间。不发言者定期清理。 希望你 1. 英语四级水平以上 2. 有交流的意...
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...
评分需要每周约定时间在线交流。无时间无意愿者,毋加!无时间无意愿者,毋加!无时间无意愿者,毋加!重要的事说三遍。 时间最好是安排在,周一至周五晚上,或者周末全天,的某个时间。每周末会在群里讨论下周时间。不发言者定期清理。 希望你 1. 英语四级水平以上 2. 有交流的意...
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...
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 电子书 下载 2025