Evaluate Winding Numbers Through Cauchy Indices

Wenda Li 🌐

October 17, 2017

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

In complex analysis, the winding number measures the number of times a path (counterclockwise) winds around a point, while the Cauchy index can approximate how the path winds. This entry provides a formalisation of the Cauchy index, which is then shown to be related to the winding number. In addition, this entry also offers a tactic that enables users to evaluate the winding number by calculating Cauchy indices.
BSD License

Topics

Theories of Winding_Number_Eval