圖書標籤: 數學 綫性代數 LinearAlgebra MIT 教材 牛人推薦數學書籍 Mathematics Algebra
发表于2024-11-23
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 電子書 下載 2024
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.
可以把極為復雜的概念用非常通俗的語言講解清楚,這就是Gibert Strang的魅力。係裏的Goodman同誌也在開這課,有時間去體驗一把。 覺得跟國內的非常不同的地方在於,這本書可以告訴你如何獲得真正概念,非常抽象地思考綫性代數的問題,而不是怎麼算行列式行變換列變換學瞭考瞭半月就還老師的東西。 據說李尚誌的書不錯,還有Meyer的,下一步接著看。
評分不喜歡…linear transformation那章寫得很不清楚。 結構鬆散,證明從略,細節欠奉,很多推論都放在習題裏,導緻復習時候很瑣碎,不夠係統化。 1-7章讀完,習題基本過瞭一遍,習題集很有啓發性,推薦做,對正文是很強有力的補充。第8章看瞭傅裏葉級數和統計學應用的兩個section。傅裏葉級數那部分挺有意思。
評分"SVD is the climax of this linear algebra course". =================================== 隻看書不刷題是不會有多大提高的...
評分如果在初章之後直接上determinants就完美瞭。我個人還是習慣傳統的次序啊(化石一枚真是抱歉)。。。
評分國外的書為什麼這麼貴,這一本大一的教材居然800!夠買一個kindle瞭。。
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...
評分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...
評分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...
評分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...
評分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...
Introduction to Linear Algebra, Fourth Edition pdf epub mobi txt 電子書 下載 2024