Complex analysis
Complex numbers as rotations, holomorphic maps, contour integrals, residues and the Fourier transform.
7 planned
No page in this subject is open yet. The planned list below shows what is coming, in learning order.
Planned
In learning order. These are not pages yet.
- Complex multiplication is rotate and scaleIntro
- Seeing complex functions with domain coloringAdvanced undergrad
- Euler's formula: how e^(iθ) walks the unit circleIntro
- Holomorphic functions preserve anglesAdvanced undergrad
- Contour integrals and Cauchy's theoremAdvanced undergrad
- The Fourier transform as a winding machineAdvanced undergrad
- Using residues to compute real integralsAdvanced undergrad
How it connects
Builds on Calculus
Leads to Numerical methods Differential equations Abstract algebra Probability Time series
Subjects marked “connection” are linked by a related idea, not by a prerequisite.