A Cauchy-Dirac Delta Function

Mikhail G. Katz; David Tall

doi:https://doi.org/10.1007/s10699-012-9289-4

A Cauchy-Dirac Delta Function

Mikhail G. Katz, David Tall

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	107-123
Number of pages	17
Journal	Foundations of Science
Volume	18
Issue number	1
DOIs	https://doi.org/10.1007/s10699-012-9289-4
State	Published - Mar 2013

Keywords

Cauchy
Charles Sanders Peirce
Continuum
Delta function
Dirac
Felix Klein
Hyperreals
Infinitesimal

All Science Journal Classification (ASJC) codes

General
History and Philosophy of Science

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Cite this

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title = "A Cauchy-Dirac Delta Function",

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.",

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author = "Katz, {Mikhail G.} and David Tall",

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KW - Charles Sanders Peirce

KW - Continuum

KW - Delta function

KW - Dirac

KW - Felix Klein

KW - Hyperreals

KW - Infinitesimal

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EP - 123

JO - Foundations of Science

JF - Foundations of Science

IS - 1

ER -

A Cauchy-Dirac Delta Function

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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