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Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation - Bibliography

Author(s): 
Robert E. Bradley (Adelphi University) and Salvatore J. Petrilli, Jr. (Adelphi University)

[Allaire and Bradley 2002] Allaire, P. and R. Bradley (2002). “Symbolic Algebra as a Foundation for Calculus: D.F. Gregory’s Contribution,” Historia Mathematica 29, 395-426.

[Arbogast 1800] Arbogast, L. F. A. (1800). Du calcul des dérivations. Strasbourg: LeVrault Frères.

[Bradley and Petrilli 2010] Bradley, R. E. and S. J. Petrilli (2010). “Servois’ 1814 Essay on the Principles of the Differential Calculus, with an English Translation,” Loci: Convergence 7 (April 2010), DOI: 10.4169/loci003487.

[Cauchy 1821] Cauchy, A.-L. (1821). Cours d’analyse. Paris: de Bure. English translation by R. E. Bradley and C. E. Sandifer (2009). Cauchy’s Cours d’analyse: An Annotated Translation. New York: Springer.

[Diderot 1751] Diderot, D. (1751-1780). Encyclopédie (J. d’Alembert, co-editor). Paris: Royal Society.

[Gauss 1801] Gauss, C. F. (1801). Disquisitiones Arithmeticae. English Translation by Clarke et al, New York: Springer, 1986.

[Gillispie 2004] Gillispie, C. C. (2004). Science and Polity in France: The Revolutionary and Napoleonic Years. Princeton, NJ: Princeton University Press.

[Grabiner 1981] Grabiner, J. V. (1981). The Origins of Cauchy’s Rigorous Calculus. Cambridge: MIT Press. Reprinted New York: Dover Publications, 2005.    

[Grabiner 1990] Grabiner, J. V. (1990). The Calculus as Algebra: J.-J. Lagrange, 1736-1813. New York: Garland Publishing.    

[Grattan-Guinness 1990] Grattan-Guinness, Ivor (1990). Convolutions in French Mathematics, 1800-1840, 3 vols., Basel: Birkhäuser.

[Katz 2009] Katz, V. (2009). A History of Mathematics: An Introduction, 3rd ed. Boston, MA: Addison-Wesley.

[Lacroix 1802] Lacroix, S. F., 1802. Traité élémentaire de calcul différentiel et de calcul intégral. Paris: Duprat.

[Lagrange 1788] Lagrange, J. (1788). Méchanique analitique. Paris: Vve. Desaint. Second edition: Méchanique analytique, 2 vols., Paris: Vve. Courcier, 1811, 1815.

[Lagrange 1797] Lagrange, J. (1797). Théorie des fonctions analytiques. Paris: L’Imprimerie de la République. Second edition, Paris: Vve. Courciet, 1813.

[Petrilli 2009] Petrilli, S. J. (2009). A Survey of the Contributions of François-Joseph Servois to the Development of the Rigorous Calculus. Doctoral thesis: Columbia University Teachers College.

[Petrilli 2010] Petrilli S. J. (2010). “François-Joseph Servois: Priest, Artillery Officer, and Professor of Mathematics,” Loci: Convergence 7 (June 2010), DOI: 10.4169/loci003498.

[Piccolino 1984] Piccolino, A. V. (1984). A Study of the Contributions of Early Nineteenth Century British Mathematicians to the Development of Abstract Algebra and Their Influence on Later Algebraists and Modern Secondary Curricula. Doctoral thesis: Columbia University Teachers College.

[Servois 1814a] Servois, F. J. (1814). “Essai sur un nouveau mode d’exposition des principes du calcul différentiel," Annales de mathématiques pures et appliquées 5 (1814-1815), 93-140.

[Servois 1814b] Servois, F. J. (1814). “Réflexions sur les divers systèmes d’exposition des principes du calcul différentiel, et, en particulier, sur la doctrine des infiniment petits," Annales de mathématiques pures et appliquées 5 (1814-1815), 141-170.

Robert E. Bradley (Adelphi University) and Salvatore J. Petrilli, Jr. (Adelphi University), "Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation - Bibliography," Loci (January 2011), DOI:10.4169/loci003597

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Servois' 1814 Essay on a New Method of Exposition of the Principles of Differential Calculus, with an English Translation