UC Spark

Dr Clemency Montelle

Mathematics and Statistics

Fields of Research

  • History and philosophy of mathematics
  • Preparation, translation and commentary of ancient mathematical texts
  • Greek, Latin, Sanskrit, Arabic and Akkadian mathematical texts
  • Ancient mathematical astronomy and modelling

Researcher Summary

Research interests include the history and philosophy of mathematics; the preparation, translation, and commentary of ancient mathematical texts in Greek, Latin, Sanskrit, Arabic and Akkadian; and ancient mathematical astronomy and modelling.

Subject Area: Disciplines


Research Groups


Publications


  • Montelle, Clemency. (2013) Diophantus. In The Encyclopedia of Ancient History; First Edition. Edited by Roger S. Bagnall, Kai Brodersen, Craige B. Champion, Andrew Erskine,: 2135--2137. Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21112. (Other)
  • Montelle, Clemency. (2013) Greek Numbers. In The Encyclopedia of Ancient History, First Edition. Edited by Roger S. Bagnall, Kai Brodersen, Craige B. Champion, Andrew Erskine,: 4827--4829. Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21231. (Other)
  • Montelle, Clemency. (2013) Roman Numbers. In The Encyclopedia of Ancient History, First Edition. Edited by Roger S. Bagnall, Kai Brodersen, Craige B. Champion, Andrew Erskine,: 4830. Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21233. (Other)
  • Montelle, C. (2012) Collection and corpus: Florence Bretelle-Establet (ed.): Looking at it from Asia: The processes that shaped the sources of history of science. Boston Studies in the Philosophy of Science, Vol. 265. Dordrecht: Springer, 2010, 426pp. Metascience 21(3): 745-748. http://dx.doi.org/10.1007/s11016-011-9627-0. Book Review. (Other)
  • Catton, P. and Montelle, C. (2012) To Diagram, to Demonstrate: To Do, To See, and To Judge in Greek Geometry. Philosophia Mathematica 20(1): 25-57. http://dx.doi.org/10.1093/philmat/nkr037. (Journal Article)
  • Montelle, C. (2012) Translating the Elements into Sanskrit: Jagannatha's Rekhaganita. A Preliminary Assessment. Ganita Bharati 32(1-2): 145-166. (Journal Article)
  • Montelle, C. (2011) A little work on Rising Times from Greek Antiquity. Sydney, Australia: Unit for the History and Philosophy of Science, University of Sydney, Seminar, 22 Aug 2011. (Oral Presentation)
  • Montelle, C. (2011) A 'Symbolic' History of the Derivative. In A. Shell-Gellasch and R. Jardine (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 151-158. Washington, DC: Mathematical Association of America. (Chapter in Book)
  • Montelle, C. (2011) Amo, Amas, Amat! What's the sum of that? In A. Shell-Gellasch and R. Jardine (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 261-268. Washington, DC: Mathematical Association of America. (Chapter in Book)
  • Montelle, C. (2011) Astronomical Tables in Sanskrit Sources. Mathematisches Forschungsinstitut Oberwolfach, Germany: History of Numerical and Graphical Tables, 28 Feb-4 Mar 2011. (Conference Contribution - Full conference paper)
  • Montelle, C. (2011) Astronomical Tables in Second Millennium Sanskrit Sources. Oberwolfach, Germany: History of Numerical and Graphical Tables, 27 Feb-5 Mar 2011. In Oberwolfach Reports 8(1) 675-677. http://dx.doi.org/10.4171/OWR/2011/12. (Conference Contribution - Paper in published proceedings)
  • Montelle, C. (2011) Chasing Shadows: Mathematics, Astronomy, and the Early History of Eclipse Reckoning. Baltimore: Johns Hopkins University Press. 408pp. (Authored Book)
  • Keller, A., Montelle, C. and Plofker, K. (2011) Contemporary Currents in South Asia Research. Christchurch, New Zealand: NZSAC's Second Annual Research Symposium, 31 Oct 2011. (Conference Contribution - Full conference paper)
  • Montelle, C. (2011) Databases for Tables from Sanskrit Sources. Goethe University Frankfurt: Excellenzcluster Normative Orders International Workshop: Databases for Tables from the History of Mathematics, 16-17 Jun 2011. (Conference Contribution - Full conference paper)
  • Jones, C., Montelle, C., Pratt, A., Pickles, K., Rack, U., Holdaway, R.N., Pelser, P.B. and Sykes, W.R. (2011) Exploration & Discovery. In C. Jones, B. Matthews and J. Clement (Ed.), Treasures of the University of Canterbury Library: 187-217, 247-248. Christchurch: Canterbury University Press. (Chapter in Book)
  • James, A., Montelle, C., Nokes, J. and Hannah, J. (2011) Meeting the needs of our best and brightest: Curriculum acceleration in tertiary mathematics. International Journal Of Mathematical Education in Science and Technology 42(3): 299-312. http://dx.doi.org/10.1080/0020739X.2010.543158. (Journal Article)
  • Montelle, C. (2011) Roots, Rocks and Newton-Raphson: Algorithms for Approximating the √2 3000 Years Apart. In A. Shell-Gellasch and R. Jardine (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 229-240. Washington, DC: Mathematical Association of America. (Chapter in Book)
  • Montelle, C. (2011) Roshdi Rashed and Hélène Bellosta, Apollonius de Perge. La section des droits selon des rapports. Commentaire historique et mathematique, edition et traduction du texte arabe. Berlin and New York: Walter de Gruyter, 2010; viii+493pp. Aestimatio 8: 183-187. Book Review. (Other)
  • Montelle, C. (2011) The 'Well-Known Calendars': al-Khazini's Description of Significant Chronological Systems for Medieval Mathematical Astronomy in Arabic. In J.M. Steele (Ed.), Calendars and Years II: Astronomy and Time in the Ancient and Medieval World: 107-125. Oakville: Oxbow Books. (Chapter in Book)
  • Keller, A. and Montelle, C. (2011) Workshop on History of Numerical Tables. Indian Journal for the History of Science 46(1): 181-184. Report. (Other)
  • Montelle, C. (2010) Arithmetic Meets Astronomy: Hypsicles of Alexandria and his Little Work on Rising Times. Goethe-Universität, Frankfurt am Main, Germany: Wissenschaftshistorisches Kolloquium, 13-17 Dec 2010. (Oral Presentation)
  • Montelle, C. and Clark, K.M. (2010) Glen van Brummelen, The Mathematics of the Heavens and the Earth: The Early History of Trigonometry. Princeton and Oxford: Princeton University Press, 2009; xx+329pp. Aestimatio 7: 1-7. Book Review. (Other)
  • Montelle, C. (2010) Lining it Up: Spatial Liaisons in Sanskrit Computational Sources. Universitie Paris VII Denis Diderot, France: History of Science, History of Text Seminar Series, 2 Nov 2010. (Oral Presentation)
  • Montelle, C. (2010) Mathematics in Ancient Times. Calicut, India: International Congress of Mathematicians Satellite Conference, 29 Aug-1 Sep 2010. (Oral Presentation)
  • Montelle, C. (2010) Numerical Tables in Sanskrit Sources. Institut Méditerranéen de Recherches Avancées (IMéRA), Marseilles, France: History of Numerical Tables in Sanskrit Sources, 13-17 Dec 2010. (Conference Contribution - Full conference paper)
  • Montelle, C. (2010) Parallel Insight, Priority, and Pre-eminence: John Napier, Joost Bürgi, and Famous Works on Logarithms. San Francisco, CA, USA: Joint Math Meetings AMS-MAA, 13-17 Jan 2010. (Conference Contribution - Full conference paper)
  • Montelle, C. (2010) Rip-off or Reverance? Hypsicles of Alexandria and the fourteenth book of Euclid's Elements. San Francisco, CA, USA: Joint Math Meetings AMS-MAA, 13-17 Jan 2010. (Conference Contribution - Full conference paper)
  • Montelle, C. (2010) The Derivation and Justification of Mathematical Rules by a Twelfth Century Sanskrit Commentator. Institut Henri Poincare (CNRS): 5 Nov 2010. (Oral Presentation)
  • Montelle, C. (2010) The Karanakesari: Mathematial Tables for Computing Eclipse Phenomena. Univ. Paris Diderot/CNRS; Paris, France: Tables et Astronomie dans le cadre du projet ANR "Histoire des tables numeriques", 22-23 Mar 2010. (Oral Presentation)
  • Clark, K.M., James, A. and Montelle, C. (2009) "Expert" vs. "Advanced": Investigating Differences in Problem-Solving Practices. Gordons Bay, South Africa: 7th Southern Right Delta Conference (ΣΡΔ'09) on the Teaching and Learning of Undergraduate Mathematics and Statistics, 29 Nov-4 Dec 2009. In Proceedings 50-62. (Conference Contribution - Paper in published proceedings)
  • Montelle, C. (2009) Daryn Lehoux. Astronomy, Weather, and Calendars in the Ancient World: Parapegmata and Related Texts in Classical and Near Eastern Societies. xii + 580 pp., illus., apps., bibl., index. New York: Cambridge University Press, 2007. $130.95 (cloth). ISIS 100(4): 896-897. Book Review. (Other)
  • Montelle, C. (2009) Eleanor Robson, Mathematics of Ancient Iraq: A Social History. Princeton: Princeton University Press, 2008; xxiii+441pp. Journal of the American Oriental Society 129(3): 554-557. (Other)
  • Montelle, C. (2009) MLC 2078 and the History of the Mathematical Table. Adelaide, Australia: Australian Mathematical Society, Sep 2009. (Conference Contribution - Full conference paper)
  • Montelle, C. and Catton, P. (2009) The Greek Mathematical Diagram as a Metonym for an Epiphany. Massey University, Palmerston North, New Zealand: 57th Annual Conference of the New Zealand Division of the Australasian Association of Philosophy (AAPNZ2009 Philosophy Conference), 7-10 Dec 2009. (Conference Contribution - Full conference paper)
  • Montelle, C. and Clark, K.M. (2009) Using History to Enrich Undergraduate Mathematics: Beyond the Anecdote. Gordons Bay, South Africa: 7th Southern Right Delta Conference (ΣΡΔ'09) on the Teaching and Learning of Undergraduate Mathematics and Statistics, 29 Nov-4 Dec 2009. In Proceedings 185-195. (Conference Contribution - Paper in published proceedings)
  • Montelle, C. (2008) A Symbolic History of the Derivative. Christchurch, New Zealand: Australian New Zealand Mathematics Colloquium, Dec 2008. (Conference Contribution - Full conference paper)
  • Montelle, C. (2008) Crossing the Shadow: Eclipses in the Ancient Near East. Christchurch, New Zealand: Canterbury Astronomical Society, Apr 2008. (Oral Presentation)
  • Montelle, C. (2008) Expounding the Mathematical Seed: A Translation of Bhaskara I on the Mathematical Chapter of the Aryabhatiya, by Agathe Keller. Basel, Boston, Berlin (Birkhauser). 2006. Historia Mathematica 35(1): 47-50. Book Review. (Other)
  • James, A., Montelle, C. and Williams, P. (2008) From lessons to lectures: NCEA mathematics results and first-year mathematics performance. International Journal of Mathematical Education in Science and Technology 39(8): 1037-1050. http://dx.doi.org/10.1080/00207390802136552. (Journal Article)
  • Williams, C. (2008) Some Details on the Transmission of Astral Omens. In M. Ross (Ed.), From the Banks of the Euphrates: Studies in Honor of Alice Louise Slotsky: 295-314. Winona Lake: Eisenbrauns. (Chapter in Book)
  • Montelle, C. (2008) The Net of Numbers: Engaging early examples for contemporary classrooms. San Diego, USA: Joint Mathematics Meetings AMS-MAA, Jan 2008. (Conference Contribution - Full conference paper)
  • Williams, C. (2007) Cleomedes' Lectures on Astronomy: A Translation of The Heavens, Hellenistic culture and society 42, Alan C. Bowen and Robert B. Todd (eds.) (Berkeley: University of California Press, 2004). International Journal of the Classical Tradition 13(3): 476-479. Book Review. (Other)
  • Montelle, C. (2007) The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook, edited by Victor J. Katz. Princeton/Oxford: Princeton University Press 2007. Aestimatio 4: 178-190. Book Review. (Other)
  • Williams, C. (2005) Eclipse Theory in the Ancient World. PhD, Brown University, Providence, Rhode Island, USA. (Thesis - Doctor of Philosophy)
  • Montelle, C. and Knudsen, T. (2005) South-Central Asian Science. In Thomas F. Glick, Steven J. Livesey, Faith Wallis, (Ed.), Medieval Science, Technology, and Medicine: An Encyclopedia: 462-465. New York: Routledge. (Chapter in Book)
  • Williams, Clemency. and Knudsen, Toke. (2003) Sanskrit manuscripts in the Harvard Indic Collection. Houghton Library Harvard University, September 8-October 15, 2003. (Exhibition)
  • Williams, C. (2002) Signs from the Sky Signs from the Earth: The Diviner's Manual Revisited. In John M. Steele and Annette Imhausen (Ed.), Under One Sky: Astronomy and Mathematics in the Ancient Near East: 279-298. Munster: Ugarit-Verlag. (Chapter in Book)
  • Williams, Clemency. (2000) Proclus on Mathematics and the Ascent of the Soul. Brown Classical Journal 12 (Journal Article)
  • Williams, C.J. (1999) The analytic art: François Viéte and the development of mathematical analysis. MSc, University of Canterbury, Christchurch, New Zealand. (Thesis - Master of Science)