Do real life applications require the use of complex numbers and if so can you give an example.

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Do real life applications require the use of complex numbers and if so can you give an example.

Mathematics
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i calculate my age using complex numbers ;)
You can take the square root of negative one using complex numbers. :P
Also, teachers can keep the children engaged using topics such as complex numbers that don't even have real-life applications.

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^ That one is the only application I can think of.
So we don't see imaginary numbers in nature on real life applications?
Electrical engineering
Circuits and fluid dynamics
No, we don't. @failmathmajor Electrical engineering is another place where we have teachers getting students engaged ;)
True I have seen just a little bit of complex numbers in my intro courses for physics in the subject of circuits but not enough to tell if that is something that I will face in real life.
Well, we use circuits in real life, so...
hahaha also true but I think we use digital circuits which is different from analog and that's where I've seen complex numbers
Complex numbers are used when considering solutions to problems that are modeled by certain differential equations which have a "rotation" in their solution. Example -- the stability of predator / prey models of populations. Long story short, they are used in mathematical modeling all the time.
You can manipulate complex solutions to "coupled linear differential equations" here http://ocw.mit.edu/ans7870/18/18.03/s06/tools/LinPhasePorMatrix.html
Here is a beautiful illustration of the behavior of coupled systems of differential equations. http://vimeo.com/23839605
  • phi
some data compression techniques (used by the internet) use complex numbers.
Cool video @mathteacher1729
Thanks, it is not my own creation, I'm not that awesome. (yet...) :-p
I think you are pretty awesome He has a great LaTeX tutorial up on YouTube which I used to make a very cool maths report and it looks all mathematically professional and all

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