Answer by MChief for What is contour integration
The Cauchy integral formula is a profound result. It tells us that the behaviour of an analytic function f(z) inside the region enclosed by a contour C depends only on how the function behaves on the...
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Answer by user123641 for What is contour integration
I think of contour integration as complex displacement.To motivate this, recall the real fundamental theorem of calculus:$$\int_a^b f(x)\;dx=F(b)-F(a)$$The fundamental theorem gives us a way to...
View ArticleAnswer by Ryan Reich for What is contour integration
It's a line integral, which you will recognize from multivariable calculus. Usually, a line integral is written$$\int_C P(x,y) \, dx + Q(x,y) \, dy$$for real-valued functions $P$ and $Q$ of two real...
View ArticleWhat is contour integration
So I recently took a course that involves contour integration. I understood how to perform the integrals out, but I never got a hold of what the physical meaning was. I understand the introductory...
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