complex-analysis

Residue theorem

taught

A closed contour integral equals 2*pi*i times the sum of residues enclosed -- the single result that generalizes Cauchy-Goursat and the Cauchy integral formula at once.

Taught in

Cauchy's residue theorem
Complex Analysis
Residue at infinity
Complex Analysis

Requires

residue-computation required
cauchy-goursat-theorem required

Required by

Argument principle required
Evaluating real integrals with residues required
Inverse Laplace transforms via residues required

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