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Euler's identity

Euler's identity is called the most beautiful mathematical formula

 


Explanation

By substitution of φ = π in Euler's formula you get

eiπ = cos π + i sin π = −1 + i·0 = −1

It follows that

All these special symbols e, i and π, and the numbers 0 and 1 appear here.

 


History

A formula that is short, and gives a solution for a complicated problem, makes impression. Mathematicians call it then an elegant formula. Leonhard Euler (1707 - 1783) is admired for his famous formula.


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