Course Description Course Description
| Mathematics 416a Complex Variables II |
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Moebius transformations; local behavior of analytic functions, open and inverse mapping theorems; Schwarz's lemma; harmonic functions, solution of the Dirichlet problem on the disk, the Jensen and Poisson- Jensen formulas, the Schwarz reflection principle; analytic continuation; normal families, the Riemann mapping theorem, the homotopic version of Cauchy's theorem; conformal mapping. |
| Prerequisite: Mathematics 307b. |
| 3 lecture hours, half course. |
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