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Euler's Formula (view source)

Revision as of 02:54, May 5, 2021

193 bytes added ,  02:54, May 5, 2021
→‎Euler's Identity: This is called the most beautiful equation in all of mathematics
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:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
 
:<math>e^{i\phi} = \cos \phi + i\sin \phi \!</math>
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===Euler's Identity===
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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, which is sometimes considered one of most beautiful equations in mathematics:
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The formula can be used to derive an equation known as Euler's identity:
    
:<math>e^{i\pi} + 1 = 0 \!</math>
 
:<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.
    
==See also==
 
==See also==
 
*[[De Moivre's Theorem]]
 
*[[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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[[Category:Mathematics]]
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