ABSTRACT
The matter of graphing for functions of a complex variable is more complicated. Most of the interesting functions in complex variable theory are ones that are analytic, except possibly at some singular points. Some functions possess isolated singular points; at an isolated singular point the function is analytic throughout a deleted neighborhood (a punctured disc) centered at that singular point. There are analytic functions whose singularities are not isolated. Then, every neighborhood of a singularity will contain one or more other singularities. A useful and popular method for studying the properties of a function of a complex variable is by means of a set of two-dimensional plots called contour plots. This chapter focuses on how to create contour plots when the function being studied exhibits a branch cut in the domain in which one is seeking the plot.
