Application of complex numbers in Engineering?

[AndreJ]

I'm currently studying complex numbers in my high maths class, moving onto trigonometry. I already know some applications of complex numbers, such as phase differences in capacitive and inductive circuits, but what other applications are there?

Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.

[AlephZero]

Can they be applied to circular motion in motors? Oscillations? I'd like to know what are some applications are.

Yes and yes.

Also in digital signal processing, image processing, fluid flow, stress analysis - there are a huge range of applications. Once you get past the "elementary" level, they turn up almost anywhere in physics or engineering.

[ashish kumar]

what is aplication of complex no engineering