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J for Jordan

Jordan, Italy, and a specific form of circulation of mathematics

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Lettera Matematica

Abstract

A case study on the early publications of Jordan in the 1860s sheds a new light on an important form of circulation of mathematics between France and Italy through a specific connection between newly founded specialized mathematical journals, such as the Annali di Matematica Pura ed Applicata, and much older organisations of mathematics, such as the Académie des sciences de Paris. Academic prizes especially provided a way to plan mathematical research, and therefore its circulation through future publications. This circulation involved subtle national issues between French and foreign mathematical journals.

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Notes

  1. Jordan’s groups of motions were especially influenced by Bravais’s crystallographic investigations on the various ways in which a system of molecules can be superimposed upon itself.

  2. The source for this and the following quotations from Jordan’s correspondence is Correspondance de Camille Jordan, Archives de École polytechnique (Palaiseau, France), côte VI2a2 × 1855, translated by the author.

  3. On the central role played by Bertrand in the Parisian mathematical scene, see [7].

  4. This correspondence revolved around the issue of the link between geometrical equations and abelian functions, see [3].

References

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  7. Zerner, M.: Le règne de Joseph Bertrand (1874–1900). In: Gispert, H. (eds.) La France Mathématique. La société mathématique de France (1870–1914), pp. 298–322. SMF, Paris (1991)

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Authors and Affiliations

  1. École polytechnique, LinX/Département humanités et sciences sociales, 91128, Palaiseau Cedex, France

    Frédéric Brechenmacher

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  1. Frédéric Brechenmacher
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Correspondence to Frédéric Brechenmacher.

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Brechenmacher, F. J for Jordan. Lett Mat Int 5, 131–135 (2017). https://doi.org/10.1007/s40329-017-0174-4

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  • DOI: https://doi.org/10.1007/s40329-017-0174-4

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