Introduction to Linear Algebra, Fourth Edition

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

具体描述

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.

作者简介

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.

读后感

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...  

还记得大四保研面试的时候，问的第一个问题是：讲一下奇异值分解的方法、应用和物理意义。面试之前我准备了一周，设想过很多种奇葩的场面，但是这个问题真把我问蒙了，我甚至不知道这是哪门课教的东西，完全不知道怎么答。支吾了大概10秒钟不知所云之后，我忍不住观察了一下老...  

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。...  

第一个直观的感受是非常深入浅出。 每一章都是从一个小小的例子出发，然后到稍微复杂一点例子。这些例子非常简单，有的仅仅只是涉及到2x2矩阵的问题，大量的图片以及结合matlab的例子，给人以非常直观的感受，似乎读者以及从例子触及到了其中的奥妙。然后再提出某一个或者定义...  

用户评价

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。

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

http://vdisk.weibo.com/s/dAzf75uvpfTyK 讲课录像http://v.163.com/special/opencourse/daishu.html http://videolectures.net/mit1806s05_linear_algebra/

Matrix rules.

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。。。。。。