Abstract
Euler's identity makes a valid formula out of five mathematical constants.
1. Introduction
Euler's identity is often cited as an example of deep mathematical beauty. Three basic arithmetic operations occur exactly once and combine five fundamental mathematical constants [1].
2. The Identity
Starting from Euler's formula
The arithmetic operations addition, multiplication and exponentiation combine the fundamental constants
- the additive identity
. - the multiplicative identity
. - the circle constant
. - Euler's number
. - the imaginary constant
.
3. Conclusion
It has been shown, how Euler's identity makes a valid formula from five mathematical constants.
References
[1] Euler's identity