Complex numbers do seem strange at first but it does applications in electrical engineering, number theory and geometry.
It would fun to expound on that on a future post if you have the time.
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A future post could include complex numbers applications and Fourier transforms. I do not know much about electrical engineering, number theory nor geometry in depth versus math for finance, probability and statistics.
It has been a while since I have looked at complex analysis mathematics or Fourier transforms from Partial Differential Equations. If I have the time and motivation, maybe.