E (mathematical constant)

Epic card · No. 3913

The number e is a mathematical constant that is the base of the natural logarithm and exponential function. It is approximately equal to e plays important and recurring roles across mathematics. It is comparable in significance to other mathematical constants like π or the imaginary unit i. Like π, the constant e is irrational (it cannot be represented as a ratio of integers) and transcendental (it is not a root of any non-zero polynomial with rational coefficients). The constant is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with other numbers named after Euler. Alternatively, e can be called Napier's constant after John Napier. The Swiss mathematician Jacob Bernoulli introduced the constant while studying compound interest.

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