Winding Numbers and Domain Coloring

Explore an innovative algorithm for numerically solving certain 2D equations in this 25-minute video. Delve into the concept of winding numbers and domain coloring, learning how to graph 2D functions and apply color mapping techniques. Discover the theory behind winding numbers along borders and their application in solving equations. Investigate the connection between winding numbers and complex numbers, and understand how this relates to the fundamental theorem of algebra. Gain insights into advanced mathematical concepts through clear explanations and engaging animations, enhancing your understanding of numerical methods and equation-solving techniques.

Intro
Simple functions
Solving equations
Graphing 2D functions
Colour
Functions
Color map
Theory
Winding numbers along borders
Solving equations with winding numbers
Solving equations with complex numbers
The fundamental theorem of algebra
Outro