Difference between revisions of "Cauchy's residue theorem"

From Conservapedia
Jump to navigation Jump to search
(→‎top: clean up & uniformity)
m (→‎top: re-categorisation)
 
Line 4: Line 4:
 
</blockquote>
 
</blockquote>
 
The theorem is the basis for [[residue calculus]].
 
The theorem is the basis for [[residue calculus]].
−
[[Category:Complex analysis]]
+
[[Category:Complex Analysis]]

Latest revision as of 01:02, August 14, 2018

Cauchy's residue theorem states:

The path integral of a holomorphic function f around the boundary of a simple region D is equal to the sum of complex residues of f in the interior of D.

The theorem is the basis for residue calculus.