Closed Curves — Topic Summaries
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Complex Analysis 24 | Winding Number [dark version]
Winding number turns “how many times a curve loops around a point” into a precise integer you can compute with a contour integral. For a point z0 in...
Complex Analysis 20 | Antiderivatives [dark version]
Complex antiderivatives (primitives) let contour integrals be computed purely from endpoints: if a holomorphic function f has a complex...
Complex Analysis 21 | Closed curves and antiderivatives [dark version]
A holomorphic function on a path-connected open set has an antiderivative exactly when every closed contour integral of that function is zero. That...