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.
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.
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...
评分如果自学的话 很多证明是没有的 所以 如果学习线性代数 还是主要听教授讲 如果上课是用这本教材的话 它主要是辅助的 所以啊 还是好好听教授的 别指望看了这本书就飞升了 看 MIT 的视频也不是说按教材讲的 关键还是看人讲 所以啊 单是引进这本教材是不行的 另外只做这上面的习题...
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。
评分如果在初章之后直接上determinants就完美了。我个人还是习惯传统的次序啊(化石一枚真是抱歉)。。。
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。
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