Linked bibliography for the SEP article "
Descartes' Mathematics" by Mary Domski
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Beeckman, Issac, 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
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 facsimilie 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 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, Heidelgerg, Berlin:
- 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
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)
Kline, Morris, 1972, Mathematical Thought from Ancient to Modern
Times, three volumes. New York, Oxford: Oxford University
Koyré, Alexandre, 1939, Études
galiléennes. Paris: Hermann.
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)
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.
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, 1977, Descartes and the scientific
revolution 1618–1634: An interpretation. PhD dissertation,
Department of History, Princeton University. (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)