Complex Analysis and Conformal Mapping
are based on Euler’s formula, and are of immense importance for solving differential equa-tions and in Fourier analysis. Further examples will appear shortly. There are several ways to motivate the link between harmonic functions u(x,y), meaning solutions of the two-dimensional Laplace equation ∆u= ∂2u ∂x2 + ∂2u ∂y2 = 0, (2.3)
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