complex-analysis
Maximum principle for analytic functions
taught
An analytic function's modulus attains its maximum on the boundary of a region, never in the interior unless it's constant.
Taught in
-
The maximum principle and mean value property
Complex Analysis
Requires
- complex-differentiability required
- complex-plane-topology required
Required by
- Maximum modulus principle required
Local knowledge map
Local knowledge map
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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.