= Topic 11: Argument Principle by Jeremy Orloff
{c}
{tag=Work by Jeremy Orloff}
{title2=2018}
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.
Official course resource: https://ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/resources/mit18_04s18_topic11/
Online text: https://ocw.mit.edu/courses/18-04-complex-variables-with-applications-spring-2018/44f1db513a6a17d655abe0b6ff7748fc_MIT18_04S18_topic11.pdf
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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