Foundations of Science

, Volume 18, Issue 1, pp 107–123

A Cauchy-Dirac Delta Function

Article

DOI: 10.1007/s10699-012-9289-4

Cite this article as:
Katz, M.G. & Tall, D. Found Sci (2013) 18: 107. doi:10.1007/s10699-012-9289-4

Abstract

The Dirac δ function has solid roots in nineteenth century work in Fourier analysis and singular integrals by Cauchy and others, anticipating Dirac’s discovery by over a century, and illuminating the nature of Cauchy’s infinitesimals and his infinitesimal definition of δ.

Keywords

CauchyCharles Sanders PeirceContinuumDelta functionFelix KleinDiracHyperrealsInfinitesimal

Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Department of MathematicsBar Ilan UniversityRamat GanIsrael
  2. 2.Mathematics Education Research CentreUniversity of WarwickCoventryUK