MathematicsRecommendedMTH-COMPLX-275
Conformal Mapping
Mobius transformations, Schwarz-Christoffel, solving boundary problems
- Difficulty
- 4 / 5
- Importance
- 4 / 5
- Study time
- 6.5–11.5 h
- Kind of work
- Theory
Why it matters
Theory of differentiable complex functions; enormously powerful for integrals, physics (QFT, fluid flow) and engineering (control).
Where it is used
Laplace/Fourier inversion, AC circuit analysis, conformal mapping in engineering, quantum field theory amplitudes.
How you know you have learned it
Explain/derive key result from memory + solve 2 non-routine checks.
Resources
- Complex Variables and Applications (Churchill & Brown) — Churchill & Brown Book
- Complex Analysis — Lars Ahlfors Book
- Complex Analysis — Lars Ahlfors Book