Lecture Description
This lecture is the third part of a three-part course on the mathematical methods required in theoretical physics. The following topics are covered:
- Brief review of the Fourier transform
- Distribution theory
- Introduction of the delta function and Green’s functions using the example of forced oscillations
- Distributions: formal definition and computational rules
- Principal value
- Complex analysis
- Cauchy–Riemann differential equations
- Cauchy’s theorem
- Identity theorem and analytic continuation
- Laurent series
- Complex logarithm
- Residue theorem and applications
All students are requested to register for the lecture on ILIAS as soon as possible. All course materials will be provided via ILIAS.
