This page is a sub-page of our page on Calculus of One Complex Variable.

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Related sources of information:

• The Cauchy-Riemann equations

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The derivative of f(z) = z^2 :

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The derivative of f(z) = sin(z) :

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Affine approximation of \, f(F(x,y), G(x,y)) \,
where \, F(x, y) = x^2 - y^2 \, , \, G(x, y) = 2 x y \,

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Affine approximation \, f(x,y) = x^2 - y^2 \, , \, g(x,y) = 2xy \, :

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Affine approximation [ x’= x^2 – y^2 , y’= 2xy ] :

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Divergence and curl: The language of Maxwell’s equations, fluid flow, and more (3Blue1Brown on YouTube):

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