Contour Integration

A technique in complex analysis evaluating integrals by integrating holomorphic or meromorphic functions along oriented paths (contours) in the complex plane, using tools such as Cauchy's theorem, residue calculus, and deformation of contours to compute real integrals, inverse transforms, or asymptotics.

A technique in complex analysis that evaluates integrals of complex-valued functions by integrating along oriented paths (contours) in the complex plane and applying results from Cauchy theory such as Cauchy's integral formula and the residue theorem.