Contour Integration
Paths and Contours
Line Integral
Properties
Cauchy-Goursat Theorem
Cauchy Integral Formula
for any point inside the closed contour .
Higher Derivatives
Indeformability
Example Calculations
Example 1: (winding number is )
Example 2:
By Cauchy integral formula:
Example 3: (entire function)
Winding Number
Jordan Curve Theorem
A simple closed contour divides the plane into an interior and exterior region.