Cauchy's integral theorem
Theorem 1.2 (Cauchy’s integral theorem). If \(f\) is analytic in a simply connected domain \(D\) and \(\Gamma \) is any closed contour in \(D\), then
\[ \oint _\Gamma f(z) \dd z = 0. \]
Source: [1, ch. 4]
Theorem 1.2 (Cauchy’s integral theorem). If \(f\) is analytic in a simply connected domain \(D\) and \(\Gamma \) is any closed contour in \(D\), then
Source: [1, ch. 4]