Difference between revisions of "Euler's Formula"
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m (Euler's formula moved to Euler's Formula: capitalize) |
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:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math> | :<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math> | ||
<br> | <br> | ||
| + | ===Euler's Identity=== | ||
| + | The formula can be used to derive an equation known as Euler's identity, which is sometimes considered one of most beautiful equations in mathematics: | ||
| + | |||
| + | :<math>e^{i\pi} + 1 = 0 \!</math> | ||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 22:48, November 29, 2007
Euler's formula is the following identity in complex analysis making use of the imaginary number :
Euler's Identity
The formula can be used to derive an equation known as Euler's identity, which is sometimes considered one of most beautiful equations in mathematics:
