Interpretation of The Contour Integral
The contour integral can be interpreted in two ways:
- as the total change in the argument of f(z) as z travels around C, explaining the name of the theorem; this follows from
and the relation between arguments and logarithms.
- as 2πi times the winding number of the path foC around the origin, using the substitution w = f(z):
Read more about this topic: Argument Principle
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