See also Complex Numbers Are Your Friends, 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, Complex Numbering Is Your Friend? "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 Complex Variables. I recommend that everyone study Complex Variables sometime--especially those who have to write Statistical Software or are involved in Mathematical Computing. Besides, there needs to be a way to define the Square Root Of Negative One.
Presumably everyone gets complex numbers in high school, but Complex Analysis is another matter, and that's where it gets interesting.
Complex Numbers simply simplify so many things, since they allow you to see the whole picture. From a Signal Processing perspective, it all has to do with Harmonic Oscillation not having a solution of order 1 over the Real Number Field.
See also Complex Numbers, Fortran Language, Python Language
See original on c2.com 