The development of the Laplace Transform, 1737–1937 II. Poincaré to Doetsch, 1880–1937

Archive for History of Exact Sciences 26 (4):351-381 (1982)
  Copy   BIBTEX

Abstract

An earlier paper, to which this is a sequel, traced the history of the Laplace Transform up to 1880. In that year Poincaré reinvented the transform, but did so in a more powerful context, that of properly conceived complex analysis. Rapid developments followed, culminating in Doetsch' work in which the transform took its modern shape.

Categories

Add categories

Keywords

Reprint years

DOI

10.1007/bf00418754

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,928

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Oscar II's prize competition and the error in Poincaré's memoir on the three body problem.June Barrow-Green - 1994 - Archive for History of Exact Sciences 48 (2):107-131.
The development of function spaces with particular reference to their origins in integral equation theory.Michael Bernkopf - 1966 - Archive for History of Exact Sciences 3 (1):1-96.
The treatment of observations in early astronomy.Oscar Sheynin - 1993 - Archive for History of Exact Sciences 46 (2):153-192.
On the history of the statistical method in physics.O. B. Sheynin - 1985 - Archive for History of Exact Sciences 33 (4):351-382.
A history of infinite matrices.Michael Bernkopf - 1968 - Archive for History of Exact Sciences 4 (4):308-358.
On the history of the statistical method in meteorology.O. B. Sheynin - 1984 - Archive for History of Exact Sciences 31 (1):53-95.
The early history of the factorial function.Jacques Dutka - 1991 - Archive for History of Exact Sciences 43 (3):225-249.
From the Editors.[author unknown] - 2007 - Archive for History of Exact Sciences 61 (1):1-1.
Editorial.[author unknown] - 2003 - Archive for History of Exact Sciences 57 (3):173-173.
Patterns of mathematical thought in the later seventeenth century.Derek Thomas Whiteside - 1961 - Archive for History of Exact Sciences 1 (3):179-388.
The shaping of the riesz representation theorem: A chapter in the history of analysis.J. D. Gray - 1984 - Archive for History of Exact Sciences 31 (2):127-187.
The ritual origin of counting.A. Seidenberg - 1962 - Archive for History of Exact Sciences 2 (1):1-40.
Die mathematische Staatsstelle. II.Michael Paiow - 1974 - Archive for History of Exact Sciences 12 (2):174-185.
Galen on the astronomers and astrologers.G. J. Toomer - 1985 - Archive for History of Exact Sciences 32 (3):193-206.
Traditional logic and the early history of sets, 1854-1908.José Ferreirós - 1996 - Archive for History of Exact Sciences 50 (1):5-71.

Analytics

Added to PP
2023-04-30

Downloads
5 (#1,540,694)

6 months
2 (#1,198,893)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

The ascendancy of the Laplace transform and how it came about.Michael A. B. Deakin - 1992 - Archive for History of Exact Sciences 44 (3):265-286.
Euler's invention of integral transforms.Michael A. B. Deakin - 1985 - Archive for History of Exact Sciences 33 (4):307-319.

Add more citations

References found in this work

Heaviside's operational calculus and the attempts to rigorise it.Jesper Lützen - 1979 - Archive for History of Exact Sciences 21 (2):161-200.
Leçons sur les Fonctions de Lignes.V. Volterra - 1914 - Revue de Métaphysique et de Morale 22 (4):22-23.

Add more references