Avsnittsöversikt
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Material:
- open mapping theorem
- preservation of angle
- conformal mappings, automorphism
- Möbius transformation, cross ratio
- harmonic functions, Poisson formula, Dirichlet problem.
Suggested reading and exercises:
Read sections 3.4, 4.7, 7.1, 7.2, 7.3, and 7.4 in the course book and work on the following exercises:
- 7.1: 7
- 7.4: 1, 2, 5, 6, 7, 9
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Video on harmonic functions, by Martin Tamm from when the course was taught before.