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Sophus Lie, Friedrich Engel et le problème de Riemann ... - DMA - Ens

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Bibliographie[1] Ackerman, M. ; Hermann, R. : <strong>Sophus</strong> <strong>Lie</strong>’s 1880 Transformation Group paper,Math. Sci. Press, Brookline, Mass., 1975.[2] Amaldi, U. : Contributo alla d<strong>et</strong>erminazione <strong>de</strong>i gruppi finiti <strong>de</strong>llo spazio ordinario,Giorna<strong>le</strong> di mathematiche di Battaglini per il progresso <strong>de</strong>g<strong>le</strong> studi nel<strong>le</strong>universita italiane, I : 39 (1901), 273–316 ;[3] Amaldi, U. : Contributo alla d<strong>et</strong>erminazione <strong>de</strong>i gruppi finiti <strong>de</strong>llo spazio ordinario,Giorna<strong>le</strong> di mathematiche di Battaglini per il progresso <strong>de</strong>g<strong>le</strong> studi nel<strong>le</strong>universita italiane, II : 40 (1902), 105–141.[4] Arnol’d, V.I. : Dynamical systems. I. Ordinary differential equations and smoothdynamical systems, Translated from the Russian. Edited by D. V. Anosov and V.I. Arnol’d. Encyclopaedia of Mathematical Sciences, 1. Springer-Verlag, Berlin,1988. x+233 pp.[5] Awane, A. ; Goze, M. : Pfaffian systems, k-symp<strong>le</strong>ctic systems, Kluwer Aca<strong>de</strong>micPublishers, Dordrecht, 2000, xiv+240 pp.[6] Bao, D. ; Chern, S.-S. ; Shen, Z. : An introduction to <strong>Riemann</strong>-Fins<strong>le</strong>r geom<strong>et</strong>ry.Graduate Texts in Mathematics, 200. Springer-Verlag, New York, 2000. xx+431 pp.[7] Barthes, R. : La préparation du romain, I <strong>et</strong> II, Cours <strong>et</strong> séminaires au Collège<strong>de</strong> France (1978–1979 <strong>et</strong> 1979–1980), texte établi, annoté <strong>et</strong> présenté par NathalieLéger, Seuil, Paris, 2003, 478 pp.[8] Bell, E.T. : Les grands mathématiciens, traduit <strong>de</strong> l’anglais <strong>et</strong> préfacé par A. Gandillon,Payot, Paris, 1939.[9] Bianchi, L. : Lezioni sulla teoría <strong>de</strong>i gruppi finiti di trasformazioni, Enrico SpoerriEditore, Pisa, 1918.[10] Bierman, K.-R. : Carl <strong>Friedrich</strong> Gauß. Der “Fürst <strong>de</strong>r Mathematiker” in Briefenund Gesprächen, C.H. Beck, München, 1990.[11] Bluman, G.W. ; Kumei, S. : Symm<strong>et</strong>ries and differential equations, Applied mathematicalsciences, 81, Springer-Verlag, Berlin, 1989, xiv+412 pp.[12] Bochnak, J. ; Coste, M. ; Roy, M.-F. : Géométrie algébrique réel<strong>le</strong>, Ergenisse <strong>de</strong>rMathematik und ihrer Grenzgebi<strong>et</strong>e (3), 12. Springer-Verlag, Berlin, x+373 pp.[13] Boi, L. : The influence of the Erlangen Program on Italian geom<strong>et</strong>ry, 1880–1890 :n-dimensional geom<strong>et</strong>ry in the works of D’Ovidio, Veronese, Segre and Fano, Arch.Internat. Hist. Sci. 40 (1990), n o 124, 30–75.[14] Boi, L. : L’espace : concept abstrait <strong>et</strong>/ou physique ; la géométrie entre formalisationmathématique <strong>et</strong> étu<strong>de</strong> <strong>de</strong> la nature, pp. 65–90 in [18].[15] Boi, L. : Mannigfaltigkeit und Gruppenbegriff. Zu <strong>de</strong>n Verän<strong>de</strong>rungen <strong>de</strong>r Geom<strong>et</strong>rieim 19. Jahrhun<strong>de</strong>rt, Math. Semesterber. 41 (1994), n o 1, 1–16.[16] Boi, L. : Le concept <strong>de</strong> variété <strong>et</strong> la nouvel<strong>le</strong> géométrie <strong>de</strong> l’espace dans la pensée<strong>de</strong> Bernhard <strong>Riemann</strong> : l’émergence d’une nouvel<strong>le</strong> vision <strong>de</strong>s mathématiques <strong>et</strong> <strong>de</strong>ses rapports avec <strong>le</strong>s sciences fondamenta<strong>le</strong>s, Arch. Internat. Hist. Sci. 45 (1995),n o 134, 82–128.[17] Boi, L. : Le problème mathématique <strong>de</strong> l’espace. Une quête <strong>de</strong> l’intelligib<strong>le</strong>. Préfacépar René Thom. Springer-Verlag, Berlin, 1995, xxiv+526 pp.317

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