See also
ComplexNumbersAreYourFriends, but let's not merge them. Both titles are potentially grammatically correct; the one refers to "complex numbers" as a single collective, the other refers to each and every member of that collective.
Just to be anal retentinve - not quite. Perhaps, ComplexNumberingIsYourFriend? "Complex numbers are your friend" is exactly as grammatically correct as "Complex numbers is your friend".
A lot of integrals are actually easier to perform using
ComplexVariables. I recommend that everyone study
ComplexVariables sometime--especially those who have to write
StatisticalSoftware or are involved in
MathematicalComputing. Besides, there needs to be a way to define the
SquareRootOfNegativeOne.
Presumably everyone gets complex numbers in high school, but ComplexAnalysis is another matter, and that's where it gets interesting.
ComplexNumbers simply simplify so many things, since they allow you to see the whole picture. From a
SignalProcessing perspective, it all has to do with
HarmonicOscillation not having a solution of order 1 over the
RealNumberField.
See also
ComplexNumbers,
FortranLanguage,
PythonLanguage
CategoryMath