Emmanuel-Étienne Duvillard de Durand (1755-1832) was known for his actuarial activities and for the construction of life tables, but his contribution to the analysis of social mathematics and the mathematical modelling of mortality long went unrecognized. His attempts to enter the prestigious ‘Académie des Sciences’ and his ambition to add a probabilistic dimension to population statistics confirm that he was not only a brilliant mathematician, but also a scholar in the noblest sense of the term, to whom this book pays tribute. Principes et Formules du calcul des probabilités pour assigner les limites des variations des événements naturels, a treatise on the «principles and formulas of probability calculation to define the limits of variation in natural events», represents the culmination of his research, recognized in his time by scholars such as Lagrange, Legendre et Laplace, but later condemned to oblivion by the vicissitudes of history and a veritable conspiracy of silence. Duvillard’s previously unpublished work, transcribed and edited for the first time in this book, was written in 1813. Picking up on ideas set forth by the mathematician Jean-Henri Lambert in that same year, he examined mortality with a view to constructing an equation to describe the progressive extinction of a human generation. His work thus represents a turning point in the study of demographic phenomena and a first attempt to apply principles of probability calculation to population science. This is a truly pioneering text which aims to provide an exact evaluation of the limits to be defined when estimating the size of a population. The edition of this treatise consisted in a work of decipherment, dissection and transcription of Duvillard’s handwritten text and in writing an accompanying essay which places the document in its historical and scientific context. The aim was to render justice to a relevant contribution in the history of social mathematics.

Principes et Formules du calcul des Probabilités pour assigner les limites des variations des événements naturels

DELL'AGLIO, Luca;
2010-01-01

Abstract

Emmanuel-Étienne Duvillard de Durand (1755-1832) was known for his actuarial activities and for the construction of life tables, but his contribution to the analysis of social mathematics and the mathematical modelling of mortality long went unrecognized. His attempts to enter the prestigious ‘Académie des Sciences’ and his ambition to add a probabilistic dimension to population statistics confirm that he was not only a brilliant mathematician, but also a scholar in the noblest sense of the term, to whom this book pays tribute. Principes et Formules du calcul des probabilités pour assigner les limites des variations des événements naturels, a treatise on the «principles and formulas of probability calculation to define the limits of variation in natural events», represents the culmination of his research, recognized in his time by scholars such as Lagrange, Legendre et Laplace, but later condemned to oblivion by the vicissitudes of history and a veritable conspiracy of silence. Duvillard’s previously unpublished work, transcribed and edited for the first time in this book, was written in 1813. Picking up on ideas set forth by the mathematician Jean-Henri Lambert in that same year, he examined mortality with a view to constructing an equation to describe the progressive extinction of a human generation. His work thus represents a turning point in the study of demographic phenomena and a first attempt to apply principles of probability calculation to population science. This is a truly pioneering text which aims to provide an exact evaluation of the limits to be defined when estimating the size of a population. The edition of this treatise consisted in a work of decipherment, dissection and transcription of Duvillard’s handwritten text and in writing an accompanying essay which places the document in its historical and scientific context. The aim was to render justice to a relevant contribution in the history of social mathematics.
2010
978-27332-1037-6
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/186874
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