MathLiveEuler's identity
Euler's identity links five fundamental constants in one equation, showing that raising Euler's number to the power of i times pi and adding one gives zero. It is a special case of Euler's formula and is often cited as an example of mathematical beauty.
e^{i\pi} + 1 = 0What the symbols mean
| Euler's number, the base of the natural logarithm (approximately 2.71828) | |
| The imaginary unit, defined by i^2 = -1 | |
| Pi, the ratio of a circle's circumference to its diameter (approximately 3.14159) |
About this formula
- FieldMathematics
- TopicComplex numbers
- LevelHigh school
- Also calledEuler's equation, euler identity complex exponential, e to the i pi plus one equals zero, Euler's formula special case
- SourceWikidata Q204819
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