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A Cauchy-Dirac Delta Function
Foundations of Science 18 (1):107-123 (2013)
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 δOther Versions
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Citations of this work
TRISDUCTION OMEGA: Terminal Topological-Geometric Theorem with Mathematical Sealing. TOE OF ALL TOES.Mohammad Islam - manuscript
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Controversies in the Foundations of Analysis: Comments on Schubring’s Conflicts.Piotr Błaszczyk, Vladimir Kanovei, Mikhail G. Katz & David Sherry - 2017 - Foundations of Science 22 (1):125-140.
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References found in this work
Abraham Robinson. Non-standard analysis. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings, series A, vol. 64 (1961), pp. 432–440; also Indagationes mathematicae, vol. 23 (1961), pp. 432-440. - Abraham Robinson. Topics in non-Archimedean mathematics. The theory of models, Proceedings of the 1963 International Symposium at Berkeley, edited by J. W. Addison, Leon Henkin, and Alfred Tarski, Studies in logic and the foundations of mathematics, North-Holland Publishing Company, Amsterdam1965, pp. 285–298. - Abraham Robinson. On generalized limits and linear functionals. Pacific journal of mathematics, vol. 14 (1964), pp. 269–283. - Alan R. Bernstein and Abraham Robinson. Solution of an invariant subspace problem of K. T. Smith and P. R. Halmos.Pacific journal of mathematics, vol. 16 (1966), pp. 421–431. - Abraham Robinson. Non-standard analysis.Studies in logic and the foundations of mathematics. North-Holland Publishing Company, Amsterdam1966, xi + 293 pp.Gert Heinz Müller - 1969 - Journal of Symbolic Logic 34 (2):292-294.
The Rise of non-Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non-Archimedean Systems of Magnitudes.Philip Ehrlich - 2006 - Archive for History of Exact Sciences 60 (1):1-121.
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