Generalized Riemann sums

Toshikazu Sunada

pp. 457-479

in: Lizhen Ji, Athanase Papadopoulos, Sumio Yamada (eds), From Riemann to differential geometry and relativity, Berlin, Springer, 2017

Abstract

The primary aim of this chapter is, commemorating the 150th anniversary of Riemann's death, to explain how the idea of Riemann sum is linked to other branches of mathematics. The materials I treat are more or less classical and elementary, thus available to the "common mathematician in the streets". However one may still see here interesting inter-connection and cohesiveness in mathematics.