In mathematics, Euler's identity (also known as Euler's equation) is the equality
e
i
Ï€
+
1
=
0
{\displaystyle e^{i\pi }+1=0}
where
e is Euler's number, the base of natural logarithms,
i is the imaginary unit, which by definition satisfies i2 = −1, and
Ï€ is pi, the ratio of the circumference of a circle to its diameter.Euler's identity is named after the Swiss mathematician Leonhard Euler. It is considered to be an exemplar of mathematical beauty as it shows...
