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

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

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