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Introduction to Linear Algebra

Introduction to Linear Algebra
作者:Gilbert Strang
出版社:Wellesley-Cambridge Press
出版年:2016-08
ISBN:9780980232776
行业:其它
浏览数:536

内容简介

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作者简介

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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目录

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

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读书文摘

we needed to open linear algebra to the world

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