Gilbert Strang was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. His Ph.D. was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Acade...
Gilbert Strang was an undergraduate at MIT and a Rhodes Scholar at Balliol College, Oxford. His Ph.D. was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT, an Honorary Fellow of Balliol College, and a member of the National Academy of Sciences. Professor Strang has published eleven books:
Differential Equations and Linear Algebra (2014)
Introduction to Linear Algebra (1993,1998,2003,2009)
Linear Algebra and Its Applications (1976,1980,1988,2005)
An Analysis of the Finite Element Method, with George Fix (1973, 2008)
Introduction to Applied Mathematics (1986)
Calculus (1991)
Wavelets and Filter Banks, with Truong Nguyen (1996)
Linear Algebra, Geodesy, and GPS, with Kai Borre (1997)
Computational Science and Engineering (2007)
Essays in Linear Algebra (2012)
Algorithms for Global Positioning, with Kai Borre (2012)
He was the President of SIAM during 1999 and 2000, and Chair of the Joint Policy Board for Mathematics. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world. His home page is math.mit.edu/~gs/ and his video lectures on linear algebra and on computational science and engineering are on ocw.mit.edu (mathematics/18.06 and 18.085).
目录
· · · · · ·
1 Introduction to Vectors
2 Solving Linear Equations
3 Vector Spaces and Subspaces
4 Orthogonality
5 Determinants
6 Eigenvalues and Eigenvectors
· · · · · ·
(更多)
1 Introduction to Vectors
2 Solving Linear Equations
3 Vector Spaces and Subspaces
4 Orthogonality
5 Determinants
6 Eigenvalues and Eigenvectors
7 The Singular Value Decomposition (SVD)
8 Linear Transformations
9 Complex Vectors and Matrices
10 Applications
11 Numerical Linear Algebra
12 Linear Algebra in Probability & Statistics
· · · · · · (收起)
Let me connect these special matrices A and S to calculus. The vector
x changes to a function x(t). The differences Ax become the derivative dx/ dt = bet). In
the inverse direction, the sum Sb becomes the integral of bet). (查看原文)
序言节选: Even a supercomputer doesn't want the inverse matrix: too slow. Inverses gives the simpliest formula x=A^(-1)b but not the top speed. And everyone must know that determinants are even slower-there is no way a linear algebra course should begin wi...
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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...
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0 有用 冬原 2023-02-22 15:17:36 北京
啃了两百多页生肉,写的真的很好,但可惜自己真的没有学数学的能力和天赋😿
0 有用 Ooozy 2022-09-02 22:15:38 广东
数学课基本在靠油管的MIT网课拯救
0 有用 emerald 2021-12-13 01:54:10
开始还不以为然,看到第三章null space 开始觉得非常精彩。第一本更强调几何直觉,如果带着这些几何图像去研读这一本,定会收获更清晰的直觉。P311 第23题
0 有用 Spurrr 2022-03-17 13:00:08
"utterly beautiful" --鸽兰特
0 有用 翊贫道 2020-08-17 17:18:55
Linear Algebra Done Right前本科线代普遍使用的教材。
0 有用 陈华杰 2024-07-09 13:57:31 广东
真难,书讲得不错,是我太菜了
0 有用 未见青山老 2024-05-27 22:31:04 山东
不是,怎么跟我想的不一样呢? 觉得有点混乱,是我的问题吗
0 有用 Ethan~L 2024-05-26 13:50:36 美国
最佳线代教材
0 有用 momo 2024-01-27 17:09:45 上海
看了三分之一实在忍不住来评分。不喜欢数学的我看着看着竟然有一丝快乐…完全成一派体系了,像是网络一样。观感极好!
0 有用 GatterKwok小蝈 2023-12-29 21:12:29 湖北
靠18.06备战线代咯,加油加油! 80。