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Generalized Riemann Sums

In: From Riemann to Differential Geometry and Relativity

Author

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  • Toshikazu Sunada

    (Meiji University, School of Interdisciplinary Mathematical Sciences
    Tohoku University, Advanced Institute for Materials Research)

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.

Suggested Citation

  • Toshikazu Sunada, 2017. "Generalized Riemann Sums," Springer Books, in: Lizhen Ji & Athanase Papadopoulos & Sumio Yamada (ed.), From Riemann to Differential Geometry and Relativity, pages 457-479, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-60039-0_15
    DOI: 10.1007/978-3-319-60039-0_15
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