Question

Difference between cauchy goursat,cauchy integral theorem and cauchy integral formula

Answer 1

In some books it is given that Cauchy theorem is equivalent to Cauchy Goursat theorem.And in some other it is given to be different. ... Cauchy theorem states that if f(z) is an analytic function over a domain D and f'(z) is continuous in D ,then ∫f(z)dz over a simple closed contour C,which lies entirely in D, is zero.