????? ???? ( Leonhard Euler 1707-1783) ? 18?? ??? ??? ??? ??? ????? ??? ???? (?????? ?????? ??? ??? ??? ??? ????? ????) ? ???? ??? ??? ??? ??? ??? ??? ???? ???? ?????? ????? 886 ???? ???? ?????? ??????? ?????? ??? ?????? ??? ??? ????? ????? ??????? ?? ???? ??? ??? ??? ???-??? ????

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e , i , f(x) ?????? ????? ???? ?????? ???? ??? ????? ??? ???? ??? ??? ????? ???? ? ?? ???? ? ? ?? ?????? ? ? ???? ?? ???? ??? ??? ????? ??????? ??????? ???????

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${\displaystyle e^{x}=\sum _{n=0}^{\infty }{x^{n} \over n!}=\lim _{n\to \infty }\left({\frac {1}{0!}}+{\frac {x}{1!}}+{\frac {x^{2}}{2!}}+\cdots +{\frac {x^{n}}{n!}}\right).}$

${\displaystyle \sum _{n=1}^{\infty }{1 \over n^{2}}=\lim _{n\to \infty }\left({\frac {1}{1^{2}}}+{\frac {1}{2^{2}}}+{\frac {1}{3^{2}}}+\cdots +{\frac {1}{n^{2}}}\right)={\frac {\pi ^{2}}{6}}.}$

${\displaystyle e^{i\varphi }=\cos \varphi +i\sin \varphi .\,}$

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${\displaystyle e^{i\pi }+1=0\,}$

${\displaystyle \gamma =\lim _{n\rightarrow \infty }\left(1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+\cdots +{\frac {1}{n}}-\ln(n)\right).}$

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http://www.math.dartmouth.edu/~euler/

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