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Strang's teaching has focused on linear algebra which has helped the subject become essential for students of many majors. His linear algebra video lectures are popular on YouTube and MIT OpenCourseware. Strang founded Wellesley-Cambridge Press to publish Introduction to Linear Algebra (now in 6th edition) and ten other books.
He is the author of a textbook on Tensor Calculus (2013) as well as an e-workbook on Linear Algebra. He has recorded hundreds of video lectures; several dozen on Tensors (in a video course which may accompany his textbook) as well as over a hundred shorter videos on linear algebra. Many of these are available on YouTube as well as other sites.
This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations in vector spaces and through matrices. Linear equations
In linear algebra, the transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by A T (among other notations).
With respect to general linear maps, linear endomorphisms and square matrices have some specific properties that make their study an important part of linear algebra, which is used in many parts of mathematics, including geometric transformations, coordinate changes, quadratic forms, and many other part of mathematics.
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).
In applied mathematics Strang splitting is a numerical method for solving differential equations that are decomposable into a sum of differential operators. It is named after Gilbert Strang .
3Blue1Brown videos are themed around visualizing math, including pure math such as number theory and topology as well as more applied topics in computer science and physics. The visuals are predominantly generated by Manim, a Python animation library written by Sanderson, though occasionally visuals are drawn from other software such as macOS ...
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