Definition:Contour Integral/Complex/Closed

From ProofWiki
Jump to navigation Jump to search

Definition

Let $C$ be a closed contour in $\C$.

Then the symbol $\ds \oint$ is used for the contour integral on $C$.


The definition remains the same:

$\ds \oint_C \map f z \rd z := \sum_{i \mathop = 1}^n \int_{a_i}^{b_i} \map f {\map {\gamma_i} t} \map {\gamma_i'} t \rd t$


Sources