# Partitions of sets and the Riemann integral

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Mathematical Communications, Vol.11 No.1 July 2006. -

We will discuss the definition of the Riemann integral using general partitions and give an elementary explication, without resorting to nets, generalized sequences and such, of what is meant by saying that -the Riemann integral is the limit of Darboux sums when the mesh of the partition approaches zero-.

Riemann integral; Jordan measure; limit over partitions

Author: ** Š. Ungar - **

Source: http://hrcak.srce.hr/