Complex Analysis/Exercises/Sheet 3: Revision history

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14 January 2025

  • curprev 13:1613:16, 14 January 2025 imported>Eshaa2024 2,066 bytes +2,066 New resource with "== Exercise on Complex Analysis == ==== Task (Integrals, 5 Points) ==== Let<math>\gamma \colon[0,1] \to \mathbf C</math>,<math>t \mapsto \exp(2\pi i t)</math> ,be the standard parametrization of the unit circle. Determine for <math>n \in \mathbf Z</math> the Integral <center><math> \int_\gamma z^n \, dz</math></center> ==== Task (Quadratic Path, 5 Points) ==== Let <math>\gamma\colon [0,4] \to \mathbf C</math> be parametrized by <center><math>t \mapsto \begin{cases} -(1+i..."