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Euler's identity

File:Euler's_formula.svg · Wikimedia Commons · See Wikimedia Commons

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Euler's identity

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Also known as Euler's equation

e ^ (πi) + 1 = 0

AI overview

Euler's identity is a famous mathematical equation that connects five of the most important numbers in mathematics—e, π, i, 1, and 0—in a single, elegant formula. Mathematicians find it remarkable because it reveals a deep and unexpected relationship between these fundamental constants, suggesting an underlying harmony in mathematics itself.

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

Wikidata facts

Instance of
theorem
Named after
Leonhard Euler
Image
VignetteEulerIdentity.svg
Show 5 more facts
on focus list of Wikimedia project
Wikipedia:Vital articles/Level/4
maintained by WikiProject
WikiProject Mathematics
discoverer or inventor
Leonhard Euler
Commons category
Euler's formula
Sources (2)

via Wikidata · CC0

~11 min read

Encyclopedic overview

In mathematics, Euler's identity (also known as Euler's equation) is the equality

e

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

Gallery (2)