Utkast
Complex Analysis: A visual and interactive introduction
Here you can find the GeoGebra applets from the online book https://complex-analysis.github.io/
If you want to support this project, you can do it using this link: https://www.patreon.com/jcponce
∞ Thanks!
Innehåll
Preliminaries
- Complex numbers: cartesian representation
- Complex numbers: Polar and exponential forms
- Complex arithmetic: geometric interpretation
- Complex Roots
- Argument and Principal argument
- Multiplication of complex numbers as stretching (squeezing) and rotation
- Polar multiplication of complex numbers
- Addition-Subtraction of complex numbers
- Explore quadratic equations
- Explore cubic equation
Functions
Mappings
Riemann surfaces: Examples
Integration
Series & Taylor series
Conformal mapping