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Publications (Kim Plofker)


Books:

  1. Mathematics in India, 500 BCE-1800 CE, (working title), to be published by Princeton University Press, (2008).

  2. (co-edited volume) Studies in the History of the Exact Sciences in Honour of David Pingree, ed. C. Burnett, J. Hogendijk, K. Plofker, and M. Yano, Brill, (2004).

Book Chapters and Journal Articles:

  1. Sanskrit mathematical verse, to appear in Oxford Handbook of the History of Mathematics, ed. E. Robson and J. Stedall, Oxford University Press.

  2. Humans, demons, gods and their worlds: the sacred and scientific cosmologies of India, to appear in Proceedings of Geography, Ethnography and Perceptions of the World in Ancient Civilizations, Brown University, 17–19 March 2006.

  3. Why did Sanskrit mathematics ignore asakṛt methods? to appear in Proceedings of the 13th World Sanskrit Conference, Edinburgh, 2006: Scientific Literature, ed. S. R. Sarma.

  4. Mesopotamian sexagesimal numbers in Indian arithmetic, in From the Banks of the Euphrates: Studies in Honor of Alice Louise Slotsky, ed. Micah Ross, Eisenbrauns, 2008.

  5. L'India antica e medievale, (tr. Ricardo Bellè et al.), in La matematica, vol. 1: I luoghi e i tempi, ed. Claudio Bartocci and Piergiorgio Odifreddi, Einaudi, 2007.

  6. Mathematics in India, in Mathematics in Egypt, Mesopotamia, China, India and Islam: a Sourcebook, ed. Victor Katz, Princeton University Press, (2007), pp. 385–514.

  7. Euler and Indian astronomy, in Leonhard Euler: Life, Work, and Legacy, ed. Robert E. Bradley and C. Edward Sandifer, Elsevier (History and Philosophy of Mathematics Series), (2007), pp. 147–166.

  8. Relations between approximations to the Sine in Kerala mathematics, in Contributions to the History of Indian Mathematics (Culture and History of Mathematics 3), ed. Gerard G. Emch, R. Sridharan, and M.D. Srinivas, Hindustan Book Agency, (2005), 135–152.

  9. Derivation and revelation: the legitimacy of mathematical models in Indian cosmology, in Mathematics and the Divine, ed. T. Koetsier and L. Bergmans, Elsevier, (2005), pp. 61–76.

  10. The problem of the sun's corner altitude and convergence of fixed-point iterations in medieval Indian astronomy, in Studies in the History of the Exact Sciences in Honour of David Pingree, ed. C. Burnett et al., Brill, (2004), pp. 552–586.

  11. Spherical trigonometry and the astronomy of the medieval Kerala school, in History of Oriental Astronomy, Proceedings of the IAU Joint Discussion-17, ed. S. M. Razaullah Ansari, Dordrecht: Kluwer, (2003), pp. 83–93.

  12. Use and transmission of iterative approximations in India and the Islamic world, in From China to Paris: 2000 Years Transmission of Mathematical Ideas, ed. Yvonne Dold-Samplonius et al., Stuttgart: Steiner Verlag, (2002), pp. 167–186.

  13. The ‘error’ in the Indian ‘Taylor series approximation’ to the Sine, Historia Mathematica 28 (2001), 283–295.

  14. (with S. Ikeyama) The Tithicintāmaṇi of Gaṇeśa, a medieval Indian treatise on astronomical tables, SCIAMVS 2 (2001), 251–289.

  15. How to interpret astronomical references in Vedic texts? Electronic Journal of Vedic Studies, 6, 2 (2000), http://users.primushost.com/~india/ejvs/ejvs0602/ejvs0602.txt

  16. The astrolabe and spherical trigonometry in medieval India, Journal for the History of Astronomy, xxxi (2000), 37–54.

  17. An example of the secant method of iterative approximation in a fifteenth-century Sanskrit text, Historia Mathematica 23 (1996), 246–256.

  18. How to appreciate Indian techniques for deriving mathematical formulas? in L'Europe mathématique, ed. Catherine Goldstein and James Ritter, Paris: Éditions de la Maison des sciences de l'homme, (1996), pp. 53–65.

Encyclopedia Articles and Miscellaneous Publications:

  1. (with T. Knudsen) Articles on Yavaneśvara, Sphujidhvaja, Author of the Paitāmahasiddhānta, Āryabhaṭa, Kalyāṇa, Mīnarāja, and Varāhamihira, , to appear in Biographical Encyclopedia of Ancient Natural Scientists ed. Georgia Irby-Massie and Paul Keyser, Routledge

  2. Articles on al-Fazārī, Ya'qūb ibn Ṭāriq, Gaṇeśa, and Lalla, in The Biographical Encyclopedia of Astronomers, ed. Thomas Hockey et al., Springer (2007), 362–363, 404–405, 669–670, 1250–1251.

  3. (with Katherine Lau, Brown '06) The cycloid pendulum clock of Christiaan Huygens, in Hands-on History: A Resource for Teaching Mathematics, ed. Amy Shell-Gellasch, MAA Notes Series, (2007), pp. 145–152.

  4. Eloge: David Pingree, 1933-2005, Isis, 98:3 (2007), 605–607.

  5. Empires and Exact sciences in pre-modern Eurasia, Newsletter of the International Institute for Asian Studies (Leiden), 43, (Spring 2007), 14 http://www.iias.nl/nl/43/IIAS_NL43_14.pdf

  6. In Memoriam David Pingree (1933-2005) Historia Mathematica 34 (2007), 3–6.

  7. David Pingree and Indian mathematics, Gaṇita Bhāratī 28 (2006), 1–6.

  8. (with Bernard R. Goldstein) In memoriam David Edwin Pingree, Aestimatio 2 (2005), 71–72.

  9. Leonard Euler, De Indorum anno solari astronomico (translation) Euler Archive http://www.eulerarchive.com E018, 2002 (revised version submitted March 2006).


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Created: 09 Nov 2000
Last modified: Mar 6, 2008 1:09:49 PM
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