Visualization of Complex Mappings

Abstract—We present the implementation of a practical system for complex variable mapping visualization (conformal transformations in the complex domain). The system is aimed to help the understanding of formal concepts in complex variable analysis (zeros, poles, singularities, multiplicity). The system is flexible and interactive, and is also useful for understanding the behavior of complex dynamic systems, the arising of fixed points, strange attractors, and other topics in the theory of fractal sets and chaotic dynamic systems. Finally, we show that it can be also useful as an image processing tool. I