Math Is Fun Forum

Kurre

Member

Registered: 2006-07-18

Posts: 280

Complex numbers in geometry

I have so far in school only learnt the pure basics of complex numbers (how to display them i the plane, addition/multiplication/division/exponents, trig-form, exp-form etc), but now i have stumbled upon problems in a math competition course were they use complex numbers as solutions to geometric problems. And i must admit, im totally lost! It just got too complicatet way too quick, and i cant really get the hang of it. So if anyone have any really simple problems, examples or guides dealing with really easy geometric applications of complex numbers that are just a little more advanced than the basics, I would be very grateful! I have loads of examples and solutions for more advanced problems, but to be able to understand them, I really need to take it from the beginning and work my way up from there to the more advanced level...

Thanks!

Kurre

Member

Registered: 2006-07-18

Posts: 280

Re: Complex numbers in geometry

Please, cant anyone give any tips?? I really need to learn this...

John E. Franklin

Member

Registered: 2005-08-29

Posts: 3,588

Re: Complex numbers in geometry

Sine waves have been expressed with complex exponential equations.
It blew my mind when I saw it computed by Professor Krackhardt.

Or are you talking about vectors, where i or j is the y-component upward?

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igloo myrtilles fourmis

Kurre

Member

Registered: 2006-07-18

Posts: 280

Re: Complex numbers in geometry

Or are you talking about vectors, where i or j is the y-component upward?

What I want is the basics and simple tips/facts that may help when attempting a geometric proof in the plane using complex numbers.