Linked bibliography for the SEP article "Descartes’ Mathematics" by Mary Domski
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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
- –––, 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
- 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
- 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:
- –––, 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
- 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)