(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>) |
|||
| (7 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
| − | + | [[Category:Euler's formula]] | |
| + | [[Category:complex numbers]] | ||
| + | [[Category:MA453]] | ||
== Euler's Formula == | == Euler's Formula == | ||
| Line 6: | Line 8: | ||
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 first time in 1714. Euler had published the formula in the form stated above in 1748. | ||
Latest revision as of 06:04, 23 September 2011
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. Euler had published the formula in the form stated above in 1748.
