Sums of powers of integers

V diplomskem delu predstavimo lastnosti vsote potenc in formule za njihov izračun. Najprej vsoto obravnavamo kot polinom spremenljivke n. Potem izpeljemo še formule za izračun vsote s Stirlingovimi števili druge vrste, Bernoullijevimi in Eulerjevimi števili ter za konec še rekurzivno formulo z integrali.In this thesis we describe the characteristics of sums of powers and the formulas for their calculation. Firstly we focus on the sum as a polynomial in variable n. We also derive the formulas for calculating the sums of powers with Stirling numbers of the second kind, with Bernoulli numbers, and with Eulerian numbers. We end with recursive formula based on integration