Skip to main content
Log in

Educational Reform and the Birth of a Mathematical Community in Revolutionary France, 1790–1815

  • Published:
Science & Education Aims and scope Submit manuscript

Abstract

Resulting from of a communal practice, scientific development is to some extent shaped by the particular conceptions of the problems, aims and methods of a field that are shared by the members of the scientific community concerned. Regrouping of scientists and the formation of a new community of practitioners reflect differentiation of the said conceptions of methods, aims and problems. In this connection, educational reform may be a key factor in the formation and consolidation of a new socio-cognitive constellation that may decisively affect the development of a discipline.

A case in point is provided by the French Revolution, when radically changed social conditions gave birth to a new community of mathematical practitioners – ingénieurs savants – who shared a common education at the newly founded Ecole Polytechnique. This entirely new type of scientific institute was created in 1794 by the revolutionary Comité de Salut Public, on the instigation of its prominent member Lazare Carnot and a lobby of scientists led by Gaspard Monge, who was largely responsible for the teaching programme of the School.

I intend to show how Carnot's and Monge's mathematical endeavours responded to social, political and technological developments in French society, how these concernswere reflected in the educational reforms that they carried through, and how absolutelyessential the new educational arrangements were for the reception and transmission of the conceptual changes involved. As a whole, this is a historical case study about education as a mediator between social and intellectual innovation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alder, K.: 1997, Engineering the Revolution: Arms and Enlightenment in France, 1763-1815, Princeton University Press, Princeton.

    Google Scholar 

  • Boyer, C.B.: 1968, A History of Mathematics, Wiley, New York.

    Google Scholar 

  • Bradley, M.: 1975, ‘Scientific Education versus Military Training: The Influence of Napoleon Bonaparte on the Ecole Polytechnique’, Annals of Science 32, 415–449.

    Google Scholar 

  • Carnot, L.N.M.: 1783, Essai sur les machines en général, no publisher, Dijon.

  • Carnot, L.N.M.: 1801, De la corrélation des figures de géométrie, Duprat, Paris.

    Google Scholar 

  • Carnot, L.N.M.: 1803a, Géométrie de position, Duprat, Paris.

    Google Scholar 

  • Carnot, L.N.M.: 1803b, Principes fondamentaux de l'équilibre et du mouvement, Bachelier, Paris.

    Google Scholar 

  • Chemla, K.: 1998, ‘Lazare Carnot et la généralité en géométrie’, Revue d'Histoire des Mathématiques 4, pp. 163–190.

    Google Scholar 

  • Dhombres, J.: 1980, ‘L'enseignement des mathématiques par la méthode révolutionnaire’, Revue de l'Histoire des Sciences 33, 315–348.

    Google Scholar 

  • Dhombres, J. and Dhombres, N.: 1989, Naissance d'un nouveau pouvoir: sciences et savants en France, 1793-1824, Payot, Paris.

    Google Scholar 

  • Ferraro, G.: 2001, ‘Analytical Symbols and Geometrical Figures in Eighteenth-Century Calculus’, Studies in History and Philosophy of Science 32A, 535–555.

    Google Scholar 

  • Fourcy, A.: 1828[1987], Histoire de l'Ecole Polytechnique, facsimile, with an introduction by J. Dhombres, Belin, Berlin.

    Google Scholar 

  • Gillispie, C.C.: 1971, Lazare Carnot Savant, Princeton University Press, Princeton.

    Google Scholar 

  • Glas, E.: 1986, ‘On the Dynamics of Mathematical Change in the Case of Monge and the French Revolution’, Studies in History and Philosophy of Science 17, 249–268.

    Google Scholar 

  • Lacroix, S.F.: 1798[1810], Traité élémentaire de trigonométrie rectiligne et sphérique, et d'application de l'algèbre à la géométrie, 5ième édition, Courcier, Paris.

    Google Scholar 

  • Lagrange, J.L.: 1788[1811], Mécanique analytique, nouvelle edition, Courcier, Paris.

    Google Scholar 

  • Monge, G.: 1795[1850], Application de l'analyse à la géométrie; avec un mémoire de Gauss et notes de Liouville, 5ième édition, Bachelier, Paris.

    Google Scholar 

  • Monge, G.: 1799[1811], Géométrie descriptive, nouvelle édition, Klostermann, Paris.

    Google Scholar 

  • Olivier, T.: 1843, Cours de géométrie descriptive, no publisher, Paris.

  • Poncelet, J.V.: 1822, Traité des propriétés projectives des figures, Bachelier, Paris.

    Google Scholar 

  • Taton, R.: 1951, L'oeuvre scientifique de Monge, Presses universitaires de France, Paris.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Glas, E. Educational Reform and the Birth of a Mathematical Community in Revolutionary France, 1790–1815. Science & Education 12, 75–89 (2003). https://doi.org/10.1023/A:1022613222742

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022613222742

Keywords

Navigation