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Mathematics
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Complex Analysis
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Cauchy's Integral Theorem
Cauchy's Integral Theorem
📜
The statement of the theorem
If
f
(
z
)
f(z)
f
(
z
)
is analytic in a simply connected domain
D
D
D
and
γ
\gamma
γ
is any closed contour lying entirely within
D
D
D
, then
∮
γ
f
(
z
)
d
z
=
0
\oint_\gamma f(z) dz = 0
∮
γ
f
(
z
)
d
z
=
0
.
Source: Wikipedia