Some of the discoveries by Euler

- e^ix = cos(x) + i sin(x) and e^i(pi) + 1 = 0
- v - e + f = 2 to describe relation between verities, edges and faces of polyhydra.
- Euler line on which orthocenter, circumcenter and centroid are collinear for any triangle.
- Euler totient function to count the numbers that are relatively prime to a number
- Summation of series like ∑ (1/
*n*^{2}) , ∑ (^{1}/n_{!}), ...

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