(New page: == Euler's Formula == ---- Basically, it is a mathematical formula in complex analysis in the form of: : <math>e^{ix} = \cos x + i\sin x \!</math>)
 
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== Euler's Formula ==
 
== Euler's Formula ==
  
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Basically, it is a mathematical formula in complex analysis in the form of:
 
Basically, it is a mathematical formula in complex analysis in the form of:
  
: <math>e^{ix} = \cos x + i\sin x \!</math>
+
<math>e^{ix} = \cos x + i\sin x \!</math>
 +
 
 +
where i is the imaginary number, and x is any real number.
 +
 
 +
 
 +
Interestingly, although it is named after the brilliant mathematician Leonhard Euler, he was not the first to prove this formula.  It was Roger Cotes who had proven it for the very first time in 1714.

Revision as of 12:27, 12 October 2008

Euler's Formula


Basically, it is a mathematical formula in complex analysis in the form of:

$ e^{ix} = \cos x + i\sin x \! $

where i is the imaginary number, and x is any real number.


Interestingly, although it is named after the brilliant mathematician Leonhard Euler, he was not the first to prove this formula. It was Roger Cotes who had proven it for the very first time in 1714.

Alumni Liaison

has a message for current ECE438 students.

Sean Hu, ECE PhD 2009