For the thoroughly modern calculus student, an introduction to Complex Variables is all the more daunting because we don’t have the kind of geometric intuition-building machinery available to us for functions as we did for real-valued functions in calculus. 202 more words

## Tags » Conformal Mapping

#### Complex Mathematics - Integral using Residue Theorem, Conformal Mapping

Guys,

In complex analysis, the residue theorem, sometimes called Cauchy’s residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals as well. 63 more words

#### Conformal Mapping

In a previous post I explored complex functions through domain coloring. Here I would like to explore another element of complex functions – conformal mapping. The idea here is to consider some curve in the complex plane, and apply a function to it, and see what happens. 568 more words