Introduction to Linear Algebra

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Gilbert Strang
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Wellesley-Cambridge Press 2016-8-31 Hardcover 9780980232776

具體描述

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).

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##課已經刷完瞭,書還沒有看完,希望至少看到第7章吧。總的來說真的很好,但有些我以為比較重要的話題過的有點快(比如Linear transformation)....刷到瞭第8章。需要迴顧定期迴顧一下重點知識:四個子空間,不同的factorization,determinant以及linear transformation(這個感覺貌似不是很紮實).有一個小震撼是原來Ax=b裏麵包含瞭那麼多層的含義!甚至很大一部分的factorization都是為瞭求最接近的解。

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##開始還不以為然,看到第三章null space 開始覺得非常精彩。第一本更強調幾何直覺,如果帶著這些幾何圖像去研讀這一本,定會收獲更清晰的直覺。P311 第23題

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##還記得大四保研麵試的時候,問的第一個問題是:講一下奇異值分解的方法、應用和物理意義。麵試之前我準備瞭一周,設想過很多種奇葩的場麵,但是這個問題真把我問濛瞭,我甚至不知道這是哪門課教的東西,完全不知道怎麼答。支吾瞭大概10秒鍾不知所雲之後,我忍不住觀察瞭一下老...  

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