EntityQ830513· pop 25· linked from 78 articlesresidue theoremSign in to savethe theorem that complex contour integrals are simply the sums of residues of singularities contained within the contourConnectionspoleEntityCauchy's integral theoremEntitycontour integrationEntityCarl Friedrich GaussEntityLeonhard EulerEntityInternational Standard Book NumberEntitycomplex numberEntitymathematical analysisEntityreal numberEntitycalculusEntityBernhard RiemannEntityprobability theoryEntityseriesEntityKarl WeierstraßEntityAugustin-Louis CauchyEntitycurveEntityTaylor seriesEntitycomplex analysisEntityEuler's formulaEntityimaginary numberEntityCategoriesAnalytic functionsTheorems in complex analysis