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Euler's Formula (view source)

Revision as of 02:54, May 5, 2021

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→‎Euler's Identity: This is called the most beautiful equation in all of mathematics
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[[Euler]]'s formula is the following identity in complex analysis making use of the [[imaginary number]] <math>i</math>:
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'''[[Euler]]'s formula''' is the following identity in complex analysis making use of the [[imaginary number]] <math>i</math>:
    
:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
 
:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
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<br>
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[[category:mathematics]]
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==Euler's Identity==
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The formula can be used to derive an equation known as Euler's identity:
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:<math>e^{i\pi} + 1 = 0 \!</math>
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'''''This is called the most beautiful equation in all of mathematics''''', because it equates the five most common mathematical constants in a perfectly elegant manner.
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==See also==
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*[[De Moivre's Theorem]]
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*[[Leonard Euler]]
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*[[Arbitrariness or Ambiguity in the Definition of the Imaginary Unit in Mathematics]]
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[[Category:Mathematics]]
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