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Concept
Cauchy's Integral Theorem
Cauchy's integral theorem
is a fundamental result in
complex analysis
stating that if a function is holomorphic on and within a
closed contour
in a
simply connected domain
, then the
integral of the function
over that contour is zero. This theorem highlights the profound nature of
Holomorphic Function
s, establishing that they have antiderivatives and are
infinitely differentiable
within their domain.
Relevant Degrees
Mathematical Analysis 100%
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