La topologie du plan complexe. Introduction aux fonctions holomorphes; applications conformes et applications linéaires fractionnelles. L'intégration complexe, la formule intégrale de Cauchy. La théorie des résidus. Les propriétés locales des fonctions holomorphes; les fonctions harmoniques. Prolongement analytique; le théorème de Riemann. Condition préalable : GL/MATH 1930 3.00 et GL/MATH 1940 3.00; GL/MATH 2670 6.00 ou la permission du département. Cours incompatible : SC/MATH 3410 3.00.
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