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.
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...
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。...
按目前看的可以5星,算扫过?主要是看了视频,所以书看起来快,但是书很赞
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。
评分说真的,不喜欢这本书的编排.感觉就像这个教授自己上课的笔记一样.
评分让同济那本坑爹的书去死吧。。。。简直是毒害!Gilbert Strang让线性代数的美真真切切地展现,太优雅了。。。。。。
评分终于入门了,不过以后的路还很长,了解数据和数据背后的意义的路程才刚刚开始。
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