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Linear algebra should be easier than calculus shouldn't it? The whole program of differential calculus is basically that we already know how to solve problems i
by edflsafoiewq 8y ago
Linear algebra should be easier than calculus shouldn't it? The whole program of differential calculus is basically that we already know how to solve problems in linear algebra, so let's solve other problems by reducing them to questions of linear algebra in the tangent space.
- profosaur 8y agoGreat comment, this big picture strategy of calculus is not emphasized enough.
- k__ 8y agoSorry, I don't understand.
- profosaur 8y agoThe fundamental strategy of calculus is to replace a nonlinear function with a tangent line approximation to that function. This greatly simplifies calculations, and the approximation is often accurate enough to be useful.