2Contour integration

IB Complex Analysis



2 Contour integration
In the remaining of the course, we will spend all our time studying integration of
complex functions. At first, you might think this is just an obvious generalization
of integration of real functions. This is not true. Starting from Cauchy’s theorem,
beautiful and amazing properties of complex integration comes one after another.
Using these, we can prove many interesting properties of holomorphic functions
as well as do lots of integrals we previously were not able to do.

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