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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. | 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 | + | 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. | ||
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 first time in 1714.
