Step 25 of 37
Calculus over the complex numbers, where things work out surprisingly well.
Topics, in order
- Holomorphic functions and the Cauchy–Riemann equations
- Contour integrals
- Cauchy's theorem and integral formula
- Power series and Laurent series
- Residues and real integrals
- Conformal maps
Learn from
- Needham, Visual Complex Analysis
- Stein and Shakarchi, Complex Analysis
Move on when
You can evaluate a real integral using residues.