In analytical mathematics, Euler's identity (also known as Euler's equation), named for the Swiss-German mathematician Leonhard Euler, is the equality
where
- e is Euler's number, the base of natural logarithms,
- i is the imaginary unit, which satisfies i2 = −1, and
- π is pi, the ratio of the circumference of a circle to its diameter.
Read more about Euler's Identity: Explanation, Generalizations, Attribution, Mathematical Beauty
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“I look for the new Teacher that shall follow so far those shining laws that he shall see them come full circle; shall see their rounding complete grace; shall see the world to be the mirror of the soul; shall see the identity of the law of gravitation with purity of the heart; and shall show that the Ought, that Duty, is one thing with Science, with Beauty, and with Joy.”
—Ralph Waldo Emerson (1803–1882)