## Mathematical Beauty

February 8, 2018 Leave a comment

**e ^{iπ} + 1 = 0**

Euler’s identity is often cited as an example of deep mathematical beauty.

*Constance Reid*: Euler’s identity is “the most famous formula in all mathematics”.

Euler’s Identity is a special case of his formula from complex analysis suggested by Swiss mathematician *Euler* in 1748.

The identity links five fundamental mathematical constants:

- The number
**0** - The number
**1** - The number
**π**(**π**= 3.141 . . .) - The number
(**e**= 2.718 . . .)**e** - The number
, the imaginary unit of the complex numbers.*i*

Euler’s Identity “is absolutely paradoxical; we cannot understand it, and we don’t know what it means, but we have proved it, and therefore we know it must be the truth”. – *Benjamin Peirce*.