Taylor's Theorem in Multiple Dimensions
Автор: Josef Sifuentes
Загружено: 2020-03-10
Просмотров: 328
Описание: What do higher order derivatives look like for functions that map vector spaces of multiple dimensions to other vector spaces of multiple dimensions? Well if the first derivative at a point is a linear operator, then the second derivative at a point is a bilinear operator, and the third a trilinear operator - and on and on. How can we assemble these derivatives into a Taylor polynomial approximation of a function, and how good of an approximation is it?
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