Introduction to Linear Algebra, Fourth Edition

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.

出版者:Wellesley Cambridge Press

作者:Gilbert Strang

页数:584

出版时间:2009-2-10

价格:USD 87.50

装帧:Hardcover

isbn号码:9780980232714

图书标签:数学线性代数LinearAlgebraMIT教材牛人推荐数学书籍MathematicsAlgebra

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.

读后感

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...  

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...  

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。...  

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！  

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...  

用户评价

Gilbert的书和公开课拯救了我的数学！这辈子听过的最好的数学课（这是我第一次体验online courses) ! 向每个本科生强烈推荐自学这本教材！（又是dumb down的教材=_=）

Gilbert Strang本尊非常友好~ 上一封邮件交流说似乎要出中文版了

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。

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.

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.