complex-analysis
Maximum modulus principle
taught
The full argument for why an analytic function's modulus can't attain an interior maximum, completed with the mean-value property from the Cauchy integral formula.
Taught in
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The maximum modulus principle
Complex Analysis
Requires
- complex-differentiability required
- maximum-principle-analytic-functions required
- cauchy-integral-formula required
Required by
- Schwarz's lemma required
Local knowledge map
Local knowledge map
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