math.CV Complex Variables
- Conformal mapping simplifies various problems about heat conduction and fluid flow, such as calculating steady temperatures. Modelling the flow of fluids around solid bodies (for example aircraft wings!) can also be simplified by appropriate conformal mappings.
- Tools from complex analysis (phasors, argument principle, conformal mapping) are widely used in analyzing electrical circuits, and stress and strain analysis in mechanical engineering.
- The uniformization theorem for discrete complex analysis (circle packings) allows for efficient and pleasant visualization of geometric data that can be related to surface triangulations.
