EntityQ1050230· pop 12· linked from 49 articlesmaximum modulus principleSign in to savetheorem that a holomorphic function’s absolute value cannot reach a strict local maximum at the interior of its domainConnectionsSchwarz lemmaEntitymathematicsEntityCarl Friedrich GaussEntityLeonhard EulerEntityInternational Standard Book NumberEntitycomplex numberEntitymathematical analysisEntityreal numberEntityBernhard RiemannEntityKarl WeierstraßEntityAugustin-Louis CauchyEntityabsolute valueEntitysubsetEntitycomplex analysisEntityEuler's formulaEntityimaginary numberEntitynatural logarithmEntityfundamental theorem of algebraEntitymaxima and minimaEntitydomain of a functionEntityCategoriesMathematical principlesTheorems in complex analysis