Linked bibliography for the SEP article "Descartes’ Mathematics" by Mary Domski

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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.

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  • Beeckman, Isaac, 1604–1634, Journal tenu par Isaac Beeckman de 1604 a 1634, 4 volumes, introduction and notes by C. de Waard. La Haye: M. Nijhoff, 1939–1953. (Scholar)
  • Bos, Henk J.M., 1981, “On the representation of curves in Descartes’ Géométrie,” Archive for History of Exact Sciences, 24: 295–338. (Scholar)
  • –––, 2001, Redefining Geometrical Exactness: Descartes’ Transformation of the Early Modern Concept of Construction. New York, Berlin, Heidelberg: Springer-Verlag. (Scholar)
  • Descartes, René, 1637, The Geometry of Rene Descartes with a facsimile of the first edition, translated by David E. Smith and Marcia L. Latham. New York: Dover Publications, Inc., 1954. [cited as G followed by page number] (Scholar)
  • –––, 1985, The philosophical writings of Descartes. Two volumes, translated by John Cottingham, Robert Stoothoff, and Dugald Murdoch. Cambridge: Cambridge University Press. [cited as CSM followed by volume and page number] (Scholar)
  • –––, 1987, Exercices pour les éléments des solides: Essai en complément d’Euclide: Progymnasmata de solidorum elementis. Edition critique avec introduction, traduction, notes et commentaries par Pierre Coatabel. Paris: PUF. (Scholar)
  • –––, 1991, The philosophical writings of Descartes: The correspondence. Translated by John Cottingham, Robert Stoothoff, Dugald Murdoch, and Anthony Kenny. Cambridge: Cambridge University Press. [cited as CSMK followed by volume and page number] (Scholar)
  • –––, Ouevres de Descartes. Eleven Volumes, edited by Charles Adam and Paul Tannery. Paris: J. Vrin, 1996. [cited as AT followed by volume and page number]
  • Domski, Mary, 2009, “The intelligibility of motion and construction: Descartes’ early mathematics and metaphysics, 1619–1637,” Studies in History and Philosophy of Science Part A, 40: 119–130. (Scholar)
  • Euclid, The Thirteen Books of the Elements, translated with introduction and commentary by Sir Thomas L. Heath. New York: Dover Publications, Inc., 1956, second unabridged edition.
  • Federico, Pasquale Joseph, 1982, Descartes on Polyhedra: A Study on the De Solidorum Elementis. New York, Heidelberg, Berlin: Springer. (Scholar)
  • Grosholz, Emily, 1991, Cartesian method and the problem of reduction. Oxford: The Clarendon Press. (Scholar)
  • Guicciardini, Niccolò, 2009, Isaac Newton on Mathematical Certainty and Method. Cambridge, MA, London: The MIT Press. (Scholar)
  • Giusti, Enrico, 1992, “Algebra and geometry in Bombelli and Viète,” Bollettino di storia delle scienze matematiche, 12: 303–328. (Scholar)
  • Hintikka, Jakko and U. Remes, 1974, The method of analysis, its geometrical origin and its general significance. Dordrecht: Reidel. (Scholar)
  • Jesseph, Douglas, 2007, “ Descartes, Pascal, and the epistemology of mathematics: The case of the cycloid,” Perspectives on Science, 15: 410–433. (Scholar)
  • Kline, Morris, 1972, Mathematical Thought from Ancient to Modern Times, three volumes. New York, Oxford: Oxford University Press. (Scholar)
  • Koyré, Alexandre, 1939, Études galiléennes. Paris: Hermann.
  • Macbeth, Danielle, 2004, “ Viète, Descartes, and the Emergence of Modern Mathematics,” Graduate Faculty Philosophy Journal, 25: 87–117. (Scholar)
  • Mahoney, Michael S., 1973, The Mathematical Career of Pierre de Fermat (1601–1665). Princeton: Princeton University Press. (Scholar)
  • Mancosu, Paulo, 2007, “Descartes and Mathematics,” in A Companion to Descartes, Janet Broughton and John Carriero (eds.), Malden, MA: Blackwell, pp. 103–123. (Scholar)
  • Mancosu, Paulo and Andrew Arana, 2010, “Descartes and the cylindrical helix,” Historia Mathematica, 37: 403–427. (Scholar)
  • Manders, Kenneth, 2008, “Diagram-Based Geometric Practice,” in The Philosophy of Mathematical Practice, Paolo Mancosu (ed.), Oxford, New York: Oxford University Press, pp. 65–79. (Scholar)
  • Merzbach, Uta C. and Carl C. Boyer, 2011, A History of Mathematics. Hoboken, NJ: John Wiley and Sons, Inc, 3rd edition. (Scholar)
  • Molland, A.G., 1976, “Shifting the foundations: Descartes’s transformation of ancient geometry,” Historia Mathematica, 3: 21–49. (Scholar)
  • Otte, M. and M. Panza (eds.), 1997, Analysis and Synthesis in Mathematics. Boston Studies in the Philosophy of Science, Volume 196. New York: Springer. (Scholar)
  • Panza, Marco, 2007, “What is new and what is old in Viète’s analysis resituta and algebra nova, and where do they come from? Some reflections on the relations between algebra and analysis before Viète,” Revue d’histoire des mathèmatiques, 13: 365–414. (Scholar)
  • –––, 2011, “Rethinking geometrical exactness,” Historia Mathematica, 38: 42–95. (Scholar)
  • Pappus of Alexandria. Book 7 of the Collection. Translated and edited by Alexander Jones. Part 1: Introduction, Text, and Translation. Part 2: Commentary, Index, Figures. New York, Berlin, Heidelberg, Tokyo: Springer, 1986.
  • –––, 1588, Pappi Alexandrini mathematicae collections a Federico Commandino Urbinate in latinum conversae at commentariis illustratae, translated and edited by F. Commandino. Pesaro. (Scholar)
  • Pycior, Helena M., 1997, Symbols, Impossible Numbers, and Geometric Entanglements: British Algebra through the Commentaries on Newton’s Universal Arithmetick. Cambridge, New York: Cambridge University Press. (Scholar)
  • Rabouin, David, 2010, “What Descartes knew of mathematics in 1628,” Historia Mathematica, 37: 428–459. (Scholar)
  • Sasaki, Chikara, 2003, Descartes’s Mathematical Thought. Boston Studies in the Philosophy of Science, Volume 237. Dordrecht, Boston, London: Kluwer Academic Publishers. (Scholar)
  • Schuster, John, 2013, Descartes-Agonistes: Physico-mathematics, Method & Corpuscular-Mechanism 1618–33. Studies in History and Philosophy of Science, Volume 27. Dordrecht, Heidelberg, New York, London: Springer. (Scholar)
  • Viète, François, 1591, The Analytic Art. Nine Studies in Algebra, Geometry and Trigonometry from the Opus Restitutae Mathematicae Analyseos, seu Algebrâ Novâ. Translated by T. Richard Witmer. Kent, Ohio: The Kent State University Press, 1983. (Scholar)

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