Line 11: Line 11:
  
 
Interestingly, although it is named after the brilliant mathematician Leonhard Euler,
 
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
 
he was not the first to prove this formula.  It was Roger Cotes who had proven it for
 
 
the first time in 1714.
 
the first time in 1714.

Revision as of 13:28, 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 first time in 1714.

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