Meaning of Riemann sum in English:

Riemann sum

noun

Mathematics
  • A sum of the form Σ f (yᵢ)(xᵢ − xᵢ ₋ ₁), summed over all the points i of a set, which can be used to approximate the area under a curve or the value of an integral.

Origin

1920s; earliest use found in Annals of Mathematics.