Euler's number

Also known as Napier's constant, Euler number, base of natural logarithm

mathematical constant; limit of (1 + 1/n)^n as n approaches infinity; transcendental number approximately equal 2.718281828

AI overview

Euler's number, approximately 2.718281828, is a mathematical constant that appears naturally when you repeatedly apply the formula (1 + 1/n)^n with increasingly large values of n. It's a transcendental number that shows up frequently in mathematics, particularly in situations involving growth and change, making it as fundamental to advanced math as pi is to circles.

AI-generated from the Wikipedia summary — may contain errors.

In the Vinony graph

Within Vinony's link graph, Euler's number is referenced by 490 other articles, and connects out to integral, compound interest and logarithm.

It sits within the topics E (mathematical constant), Leonhard Euler and Mathematical constants.

Its subject is documented across 90 Wikipedia language editions.

Wikidata facts

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Stack Exchange tag: stackoverflow.com/tags/eulers-number
Commons category: E (mathematical constant)
numeric value: 2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746
Unicode character: 𝑒

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Encyclopedic overview

Graph of the equation y = 1/x. Here, e is the unique number larger than 1 that makes the shaded area under the curve equal to 1.

The number e is a mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithm and exponential function. It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted

Excerpted from Wikipedia’s “Euler's number” article, available under the CC BY-SA 4.0 licence.