Wiley-Interscience, New York-London-Sydney. Minnesota Press, Minneapolis, MN.ĭavis, M. History and philosophy of modern mathematics (Minneapolis, MN, 1985), 177–200, Minnesota Stud. Abraham Robinson and nonstandard analysis: history, philosophy, and foundations of mathematics. The British Journal for the Philosophy of Science, 39(3), 375–378.ĭauben, J. American Mathematical Society, Providence, RI.Ĭutland, N., Kessler, C., Kopp, E., & Ross, D. Translated from the 2000 French original by Jennifer Gage. The British Journal for the Philosophy of Science, 22, 27–37.Ĭonnes, A., Lichnerowicz, A., & Schützenberger, M. The Open Court Publishing, Chicago-London. Translated from the Latin texts published by Carl Immanuel Gerhardt with critical and historical notes by J. The early mathematical manuscripts of Leibniz.
Note sur les séries convergentes dont les divers termes sont des fonctions continues d’une variable réelle ou imaginaire, entre des limites données. Comptes Rendus de l’ Academie Royale des Sciences, 36, 454–459. Oeuvres Complètes, Series, 2, 4.Ĭauchy, A. Résumé des Leçons données à l’Ecole Royale Polytechnique sur le Calcul Infinitésimal. Cours d’Analyse de L’Ecole Royale Polytechnique Première Partie. Controversies in the foundations of analysis: Comments on Schubring’s Conflicts. Toward a history of mathematics focused on procedures. A non-standard analysis of a cultural icon: The case of Paul Halmos. New York, NY: Springer.īłaszczyk, P., Borovik, A., Kanovei, V., Katz, M., Kudryk, T., Kutateladze, S., et al. Sources and studies in the history of mathematics and physical sciences. New York, NY: Hafner Publishing.īradley, R., & Sandifer, C. Translated from the Italian by Warren Van Egmond: Springer-Verlag, New York.īoyer, C. The higher calculus: A history of real and complex analysis from Euler to Weierstrass. J.) et son traité d’ ‘Arithmétique théorique et pratique’.
PROOF OF MEAN VALUE THEOREM USING INFINITESIMALS ARCHIVE
Archive for History of Exact Sciences, 14, 1–90.īosmans, H.
Differentials, higher-order differentials and the derivative in the Leibnizian calculus. Who gave you the Cauchy–Weierstrass tale? The dual history of rigorous calculus. Bulletin of the American Mathematical Society 83, 205–208 (review of the first edition of Keisler 1986)īorovik, A., & Katz, M. Philosophical Review, 74, 47–73.īishop, E. The continuous and the infinitesimal in mathematics and philosophy. The Journal of the International Society for the History of Philosophy of Science, 6(1), 117–147. Leibniz versus Ishiguro: Closing a quarter-century of syncategoremania. See and arXiv:1407.0233īascelli, T., Błaszczyk, P., Kanovei, V., Katz, K., Katz, M., Schaps, D., et al. Notices of the American Mathematical Society, 61(8), 848–864. Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow. Journal for General Philosophy of Science, 48(2), 195–238. Interpreting the infinitesimal mathematics of Leibniz and Euler. Is mathematical history written by the victors? Notices of the American Mathematical Society, 60(7), 886–904. Pari: Hermann.īair, J., Błaszczyk, P., Ely, R., Henry, V., Kanovei, V., Katz, K., Katz, M., Kutateladze, S., McGaffey, T., Schaps, D., Sherry, D., & Shnider, S. De la difficulté historique du raisonnement sur les limites. Cauchy, Abel, Seidel, Stokes et la convergence uniforme.
Infinitesimal: How a dangerous mathematical theory shaped the modern world. Indeed, Arsac confused S-continuity and continuity.Īlexander, A. Thus, the familiar extension \(\, |f(x)-f(c)|<\epsilon \), by the transfer principle. The transfer principle is a type of theorem that, depending on the context, asserts that rules, laws or procedures valid for a certain number system (or more general mathematical structure), still apply (i.e., are transfered) to an extended number system (or more general mathematical structure).
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