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William Gilbert Strang (born November 27, 1934 [1]) is an American mathematician known for his contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra. He has made many contributions to mathematics education, including publishing mathematics textbooks.
Gilbert Strang, MIT Linear Algebra Lecture on the Four Fundamental Subspaces at Google Video, from MIT OpenCourseWare; Khan Academy video tutorial; Lecture on column space and nullspace by Gilbert Strang of MIT; Row Space and Column Space
Krakiwsky, "A synthesis of recent advances in the method of least squares", Lecture Notes #42, Department of Geodesy and Geomatics Engineering, University of New Brunswick, 1975 Cross, P.A. "Advanced least squares applied to position-fixing" , University of East London , School of Surveying, Working Paper No. 6, ISSN 0260-9142 , January 1994.
The rank–nullity theorem is a theorem in linear algebra, which asserts: the number of columns of a matrix M is the sum of the rank of M and the nullity of M ; and the dimension of the domain of a linear transformation f is the sum of the rank of f (the dimension of the image of f ) and the nullity of f (the dimension of the kernel of f ).
MIT Linear Algebra Video Lectures, a series of 34 recorded lectures by Professor Gilbert Strang (Spring 2010) International Linear Algebra Society "Linear algebra", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Linear Algebra on MathWorld; Matrix and Linear Algebra Terms on Earliest Known Uses of Some of the Words of Mathematics
Gilbert Strang demonstrates the Hadamard conjecture at MIT in 2005, using Sylvester's construction. In mathematics, a Hadamard matrix, named after the French mathematician Jacques Hadamard, is a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal.
Many of these are issued in themed series, such as "Advances in design and control", "Financial mathematics" and "Monographs on discrete mathematics and applications". In particular, SIAM distributes books produced by Gilbert Strang's Wellesley-Cambridge Press, such as his Introduction to Linear Algebra (5th edition, 2016).
The joint spectral radius was introduced in 1960 by Gian-Carlo Rota and Gilbert Strang, [1] two mathematicians from MIT, but started attracting attention with the work of Ingrid Daubechies and Jeffrey Lagarias. [2] They showed that the joint spectral radius can be used to describe smoothness properties of certain wavelet functions. [3]
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