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.

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva