Search results with tag "Cauchy integral theorem and"

4. Complex integration: Cauchy integral theorem and …

Cauchy integral theorem Let f(z) = u(x,y)+iv(x,y) be analytic on and inside a simple closed contour C and let f′(z) be also continuous on and inside C, then I C f(z) dz = 0. Proof The proof of the Cauchy integral theorem requires the Green theo-

  Integration, Complex, Relating, Theorem, Cauchy, Complex integration, Cauchy integral theorem and