6. Complex Analysis: Cauchy Goursat Theorem

This video explains how the Cauchy-Goursat Theorem is derived. It is also called Caucy's Integral Theorem. Line integrals in the complex plane are considered for a closed path; Green's Theorem in conjunction with the Cauchy-Riemann equations then reveal that the line integral around a closed path of a complex function is equal to zero. This is illustrated thereafter in a simple example.