An Illustration of the Argument Principle
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
In the complex plane, consider the image of the contour under the map . The argument principle states that the number of roots of enclosed by is equal to the winding number of the origin in the image. As you vary you can see how this winding number changes.
Contributed by: Keith Schneider (March 2011)
Open content licensed under CC BY-NC-SA
"An Illustration of the Argument Principle"
Wolfram Demonstrations Project
Published: March 7 2011