By Jeremy Orloff, named on the first page of the notes for MIT 18.04, Complex Variables with Applications, Spring 2018. The credit here refers to this authored set of notes.
Cited passages: §11.2, Theorems 11.1 and 11.4, pp. 1–3, gives the argument principle and its residue theorem explanation; §11.2.3 covers Rouché's theorem; §11.3.6 explains the Nyquist stability criterion, including the sign from the clockwise contour used there. Our rational-function and sparse-sampling examples and images are independently calculated.

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