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...
(展开)
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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Wellesley-Cambridge Press2009版
paul
Wellesley Cambridge Press2003版
何磊
Wellesley-Cambridge Press2009版
Wei Xue
Wellesley Cambridge Press2003版
Dubos
Wellesley-Cambridge Press2009版
卷
Wellesley-Cambridge Press2009版
楚天舒
Wellesley Cambridge Press2003版
0 有用 只豆一半 2023-06-19 10:35:50 加拿大
还是3blue1brown给我的启发大一些 @2021-05-19 15:30:26
1 有用 Ulae 2023-01-13 02:27:40 江苏
老教授讲课很随性，经常因为台上想自己该如何讲清楚某个知识而口吃，然后冷不丁会蹦出来些段子。“高斯当然比我们先想到这个定理，因为他出生的早——当然，也死的早。”
0 有用 Spurrr 2022-03-17 13:00:08
"utterly beautiful" --鸽兰特
2 有用 稀奇八只脚 2018-08-11 15:39:26
课已经刷完了，书还没有看完，希望至少看到第7章吧。总的来说真的很好，但有些我以为比较重要的话题过的有点快（比如Linear transformation)....刷到了第8章。需要回顾定期回顾一下重点知识:四个子空间，不同的factorization，determinant以及linear transformation（这个感觉貌似不是很扎实).有一个小震撼是原来Ax=b里面包含了那么多层的含义!... 课已经刷完了，书还没有看完，希望至少看到第7章吧。总的来说真的很好，但有些我以为比较重要的话题过的有点快（比如Linear transformation)....刷到了第8章。需要回顾定期回顾一下重点知识:四个子空间，不同的factorization，determinant以及linear transformation（这个感觉貌似不是很扎实).有一个小震撼是原来Ax=b里面包含了那么多层的含义!甚至很大一部分的factorization都是为了求最接近的解。 (展开)
1 有用 心急的蕤靐 2022-11-15 09:38:22 浙江
不如B站搜“丘维声 高等代数”，虽然叫高等代数，但是，定义清晰，循循善诱，知其然也知其所以然。学线性代数的也可以看，甚至比只看线性代数的视频还容易弄懂。我一开始也是只学线性代数，比如这本。看完后，概念还是模模糊糊，不知来龙去脉。没有理解，就更难去应用（包括做题）。（发现，视频比书本，多了旁白，能更好的引导思路。）
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
最佳线带代教材
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。
0 有用 TamerRay 2023-09-22 21:01:45 广东
买的第一本原版国外书，也是目前唯一一本。个人感觉还行。