26 lines
924 B
Markdown
26 lines
924 B
Markdown
---
|
|
title: Eulers Formula
|
|
---
|
|
## Eulers Formula
|
|
|
|
Eulers Formula is a mathematical identity which states that (for any value of x):
|
|
e^(ix)=cosx+isinx
|
|
|
|
This is of interest because of the following case:
|
|
When x=pi, Euler's Formula gives the beautiful identity invovling pi, e, and i.
|
|
|
|
e^(ipi)+1=0,
|
|
|
|
A famous joke for mathematicians is "How many mathematicians does it take to change a light bulb?" and answers "-e^(ipi)"
|
|
Can you tell what the answer is?
|
|
|
|
This is often used when dealing with complex numbers in exponential form.
|
|
|
|
|
|
|
|
<!-- The article goes here, in GitHub-flavored Markdown. Feel free to add YouTube videos, images, and CodePen/JSBin embeds -->
|
|
|
|
#### More Information:
|
|
[Mathworld](http://mathworld.wolfram.com/EulerFormula.html)
|
|
[Wikipedia](https://en.wikipedia.org/wiki/Euler%27s_formula)
|