UC Research Profile - University of Canterbury

Professor Clemency Montelle

Contact

Department: Mathematics and Statistics

Email: clemency.montelle@canterbury.ac.nz

Office: Jack Erskine 400

Language: English

About

Research / Creative works

Supervision

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

History, History of Art, Classics and Curatorial Studies: Ancient History, Philosophy and Theory
Philosophy: Philosophy
Mathematics: Pure Mathematics

Research/Scholarly/Creative Works

Authored Books

Misra A., Montelle C. and Plofker K. (2020) The Sanskrit Astronomical Table Text Brahmatulyasāraṇī Numerical Tables in Textual Scholarship. .

Montelle C. and Plofker K. (2019) Sanskrit Astronomical Tables. Cham: Springer International Publishing. 308. http://dx.doi.org/10.1007/978-3-319-97037-0.

Ramasubramanian K., Hayashi T. and Montelle C. (2019) Introduction. xvii-xxxvi. http://dx.doi.org/10.4324/9780429445897-1.

Montelle C. (2011) Chasing Shadows: Mathematics, Astronomy, and the Early History of Eclipse Reckoning. Baltimore: Johns Hopkins University Press. 408pp.

Journal Articles

Jha A., Campbell D., Montelle C. and Wilson PL. (2022) Not so distinctively mathematical explanations: topology and dynamical systems. Synthese 200(3) http://dx.doi.org/10.1007/s11229-022-03697-9.

Montelle C. (2020) Philippe de La Hire in India Comparing true solar longitude computations in Latin and Sanskrit. Archives internationales d'histoire des sciences.

Kolachana A., Mahesh K., Montelle CJ. and Ramasubramanian K. (2018) Determination of Ascensional Difference in the Lagnaprakaraṇa. Indian Journal of History of Science 53(3): 302-316. http://dx.doi.org/10.16943/ijhs/2018/v53i3/49462.

Kolachana A., Montelle CJ., Dhammaloka J., Melnad K., Mahesh K., Vyas P., Ramasubramanian K., Sriram MS. and Pai V. (2018) A Critical Edition of the Candrārkī of Dinakara: A Text Concerning Solar and Lunar Tables. History of Science in South Asia 6: 127-161. http://dx.doi.org/10.18732/hssa.v6i0.35.

Kolachana A., Montelle CJ., Dhammaloka J., Melnad K., Mahesh K., Vyas P., Ramasubramanian K., Sriram MS. and Pai V. (2018) The Candrārkī of Dinakara: A text related to solar and lunar tables. Journal for the History of Astronomy 49(3): 306-344. http://dx.doi.org/10.1177/0021828618787556.

Montelle CJ. and Ramasubramanian K. (2018) Determining the Sine of One Degree in the Sarvasiddhāntarāja of Nityānanda. SCIAMVS 19: 1-52.

Plofker K., Keller A., Hayashi T., Montelle C. and Wujastyk D. (2017) The Bakhshālī Manuscript: A Response to the Bodleian Library's Radiocarbon Dating. History of Science in South Asia 5(1): 134-150. http://dx.doi.org/10.18732/H2XT07.

Misra A., Montelle CJ. and Ramasubramanian K. (2016) The poetic features in the golādhyāya of Nityānanda’s Sarvasiddhāntarāja. Ganita Bharati 38(2): 141-156.

Montelle CJ., Misra A. and Plofker K. (2016) Elipse Computation Tables in Sanskrit Astronomy: A Critical Edition of the Tables of the Karaṇakesarī of Bhāskara (fl. c. 1681). History of Science in South Asia 4: 1-74. http://dx.doi.org/10.18732/H26P4V.

Montelle CJ., Ramasubramanian K. and Dhammaloka J. (2016) Computation of Sines in Nityānanda's Sarvasiddhāntarāja. SCIAMVS Sources and Commentaries in the Exact Sciences 17: 1-52.

Bajri S., Hannah J. and Montelle C. (2015) Revisiting Al-Samaw'al's table of binomial coefficients: Greek inspiration, diagrammatic reasoning and mathematical induction. Archive for History of Exact Sciences 69(6): 537-576. http://dx.doi.org/10.1007/s00407-015-0156-x.

Montelle C. and Plofker K. (2015) The transformation of a Handbook into Tables: The Brahmatulyasāraṇī and the Karaṇakutūhala of Bhāskara. SCIAMVS: Sources and Commentaries in Exact Sciences 16: 1-34.

Clark K., James A. and Montelle C. (2014) "We definitely wouldn't be able to solve it all by ourselves, but together..": group synergy in tertiary students' problem-solving practices. Research in Mathematics Education 16(3): 306-323. http://dx.doi.org/10.1080/14794802.2014.950687.

Husson M. and Montelle C. (2014) The transmission of Arabic astronomical tables in Sanskrit, Latin, and Chinese. An early step in the internationalization of science?: Introduction. Suhayl 13: 9-10.

Montelle C. (2014) From Verses in Text to Numerical Table - The Treatment of Solar Declination and Lunar Latitude in Bhaskara II's Karanakutuhala and the Related Tabular Work, the Brahmatulyasarani. Ganita Bharati 36(1): 13-35.

Montelle C. (2014) The Emergence of 'cyclic' tables in Indian Astronomy in the seventeenth century: Haridatta's Jagadbhūṣaṇa and its Islamic inspiration. Suhayl 13: 63-81.

Montelle C. (2014) The Karanakesari: tables for computing eclipse phenomena. Indian Journal of History of Science 49(2): 170-185.

Montelle C. and Plofker K. (2014) The Karaṇakesari of Bhāskara: a 17th-century Table Text for Computing Eclipses. History of Science in South Asia 2: 1-62.

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.

Clark KM. and Montelle C. (2012) Priority, Parallel Discovery, and Pre-eminence Napier, Bürgi and the Early History of the Logarithm Relation. Revue d'histoire des mathématiques 18(2): 223-270.

Montelle C. (2012) Translating the Elements into Sanskrit: Jagannatha's Rekhaganita. A Preliminary Assessment. Ganita Bharati 32(1-2): 145-166.

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.

Montelle C. (2011) Having the Answers': Writing the History of Mathematics in India. Historia Mathematica 38(1): 111-122. http://dx.doi.org/10.1016/j.hm.2010.03.007.

Clark KM. and Montelle C. (2010) Logarithms: The Early History of a Familiar Function. Loci (Jun 2010) http://dx.doi.org/10.4169/loci003495.

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.

Williams Clemency. (2000) Proclus on Mathematics and the Ascent of the Soul. Brown Classical Journal 12.

Chapters

Millar P., Blackwood M., Ford G., Garello D., Ghosh D., Looyer N., Matheson D., Middendorf C., Middendorf J. and Moir L. (2023) Views Through Student Lenses: How Workshops with Student Research Assistants Can Enhance a Lab’s Research Programme. In Estill L; Giuliano J (Ed.), Digital humanities workshops: Lessons learned: 280.Routledge.

Millar P., Blackwood M., Ford G., Garello D., Ghosh D., Looyer N., Matheson D., Middendorf C., Middendorf K. and Moir L. (2023) Views Through Student. Digital Humanities Workshops: 77-91.Routledge. http://dx.doi.org/10.4324/9781003301097-10.

Montelle C. and Plofker K. (2023) Integrating Logarithm Concepts into Syntheses of Sanskrit, Muslim and European Astronomy in 18th-Century Jaipur. Sir Henry Wellcome Asian Series: 172-217. http://dx.doi.org/10.1163/9789004536869_009.

Montelle C. (2021) Editing Sanskrit Astronomical Tables: The Candrārkī of Dinakara (1578 CE). In Montelle C; Husson M; Van Dalen B (Ed.), Editing and Analysing Numerical Tables Towards a Digital Information System for the History of Astral Sciences Turnhout, Belgium: Brepols.

Montelle C. (2021) Hypsicles. The Oxford Classical Dictionary, digital edOxford University Press. http://dx.doi.org/10.1093/acrefore/9780199381135.013.ORE_CLA-08646.R1.

Montelle C., Husson M. and Van Brummelen G. (2021) Tools of the Table Crackers: Using Quantitative Methods to Analyze Historical Numerical Tables. In Montelle C; Van Dalen B; Husson M (Ed.), Editing and Analysing Numerical Tables Towards a Digital Information System for the History of Astral Sciences Turnhout, Belgium: Brepols.

Montelle C., Van Dalen B. and Husson M. (2021) Introduction. In Montelle C; Van Dalen B; Husson M (Ed.), Editing and Analysing Numerical Tables Towards a Digital Information System for the History of Astral SciencesBrepols.

Montelle C. and Ramasubramanian K. (2020) Trigonometry through Geometry: Bhāskara’s Generation of Sines. In Knudsen T; Speyer S; Schmidt-Madsen J (Ed.), Body and Cosmos: Studies in Honor of Kenneth G. Zysk: 273-297. Leiden: koninklijke brill nv. http://dx.doi.org/10.1163/9789004438224_016.

Ramasubramanian K. and Montelle C. (2020) Chapter 15: Trigonometry through geometry: Bhaskaracarya's generation of sines. Sir Henry Wellcome Asian Series: 279-303. http://dx.doi.org/10.1163/9789004438224_016.

Ramasubramanian K., Hayashi T. and Montelle C. (2019) Caṅgadeva’s inscription of 1207. Sources and Studies in the History of Mathematics and Physical Sciences: 3-22. http://dx.doi.org/10.1007/978-981-13-6034-3_1.

Ramasubramanian K., Hayashi T., Montelle C. and Ansari SMR. (2019) Persian translations of Bhāskara’s Sanskrit texts and their impact in the following centuries. Sources and Studies in the History of Mathematics and Physical Sciences: 377-391. http://dx.doi.org/10.1007/978-981-13-6034-3_18.

Ramasubramanian K., Hayashi T., Montelle C. and Chauthaiwale SM. (2019) A critical study of algorithms in the Karaṇīṣaḍvidham. Sources and Studies in the History of Mathematics and Physical Sciences: 177-193. http://dx.doi.org/10.1007/978-981-13-6034-3_10.

Ramasubramanian K., Hayashi T., Montelle C. and Dani SG. (2019) Mensuration of quadrilaterals in the Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 129-139. http://dx.doi.org/10.1007/978-981-13-6034-3_7.

Ramasubramanian K., Hayashi T., Montelle C. and Filliozat PS. (2019) The poetical face of the mathematical and astronomical works of Bhāskarācārya. Sources and Studies in the History of Mathematics and Physical Sciences: 40-55. http://dx.doi.org/10.1007/978-981-13-6034-3_3.

Ramasubramanian K., Hayashi T., Montelle C. and Ikeyama S. (2019) An application of the addition and subtraction formula for the Sine in Indian astronomy. Sources and Studies in the History of Mathematics and Physical Sciences: 301-319. http://dx.doi.org/10.1007/978-981-13-6034-3_15.

Ramasubramanian K., Hayashi T., Montelle C. and Koirala HP. (2019) Implications of Bhāskarācārya’s Līlāvatī to the Common Core State Standards in Mathematics. Sources and Studies in the History of Mathematics and Physical Sciences: 407-422. http://dx.doi.org/10.1007/978-981-13-6034-3_20.

Ramasubramanian K., Hayashi T., Montelle C. and Kusuba T. (2019) Aṅkapāśa in the Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 140-152. http://dx.doi.org/10.1007/978-981-13-6034-3_8.

Ramasubramanian K., Hayashi T., Montelle C. and Limaye MS. (2019) The use of Bhūtasaṅkhyās in the Līlāvatī of Bhāskarācārya. Sources and Studies in the History of Mathematics and Physical Sciences: 392-406. http://dx.doi.org/10.1007/978-981-13-6034-3_19.

Ramasubramanian K., Hayashi T., Montelle C. and Plofker K. (2019) Bhojarājā and Bhāskara: Precursors of Karaṇakutūhala algebraic approximation formulas in the Rājamṛgāṅka. Sources and Studies in the History of Mathematics and Physical Sciences: 361-373. http://dx.doi.org/10.1007/978-981-13-6034-3_17.

Ramasubramanian K., Hayashi T., Montelle C. and Ram SS. (2019) The Bījagaṇita of Bhāskarācārya: Some highlights. Sources and Studies in the History of Mathematics and Physical Sciences: 155-176. http://dx.doi.org/10.1007/978-981-13-6034-3_9.

Ramasubramanian K., Hayashi T., Montelle C. and Ramakalyani K. (2019) Gaṇeśa Daivajña’s upapattis for some rules in the Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 102-114. http://dx.doi.org/10.1007/978-981-13-6034-3_5.

Ramasubramanian K., Hayashi T., Montelle C. and Sarma SR. (2019) Astronomical instruments in Bhāskarācārya’s Siddhāntaśiromaṇi. Sources and Studies in the History of Mathematics and Physical Sciences: 320-358. http://dx.doi.org/10.1007/978-981-13-6034-3_16.

Ramasubramanian K., Hayashi T., Montelle C. and Sarma SR. (2019) The legend of Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 23-39. http://dx.doi.org/10.1007/978-981-13-6034-3_2.

Ramasubramanian K., Hayashi T., Montelle C. and Srinivas MD. (2019) The Vāsanābhāṣyas of Bhāskarācārya. Sources and Studies in the History of Mathematics and Physical Sciences: 249-290. http://dx.doi.org/10.1007/978-981-13-6034-3_13.

Ramasubramanian K., Hayashi T., Montelle C. and Sriram MS. (2019) Grahagaṇitādhyāya of Bhāskarācārya’s Siddhāntaśiromaṇi. Sources and Studies in the History of Mathematics and Physical Sciences: 197-231. http://dx.doi.org/10.1007/978-981-13-6034-3_11.

Ramasubramanian K., Hayashi T., Montelle C. and Yano M. (2019) Bhāskarācārya and Kṣayamāsa. Sources and Studies in the History of Mathematics and Physical Sciences: 232-245. http://dx.doi.org/10.1007/978-981-13-6034-3_12.

Ramasubramanian K., Hayashi T., Montelle C., Mahesh K. and Kolachana A. (2019) The līlā of the Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 59-101. http://dx.doi.org/10.1007/978-981-13-6034-3_4.

Ramasubramanian K., Hayashi T., Montelle C., Sundareswaran NK. and Vrinda PM. (2019) A study of two Malayalam commentaries on the Līlāvatī. Sources and Studies in the History of Mathematics and Physical Sciences: 115-128. http://dx.doi.org/10.1007/978-981-13-6034-3_6.

Montelle C. (2018) Mathematics in Early India (1000 BCE - 1000 CE). In Jones A; Taub L (Ed.), The Cambridge History of Science: Volume 1, Ancient Science: 501-531. Cambridge: Cambridge University Press.

Montelle C. and Hannah J. (2018) DRAWING IT OUT! The History of Mathematics through its Diagrams. In Shell-Gellasch A; Jardine D (Ed.), The Courses of History: Ideas for Developing a History of Mathematics Course: 351-364.The Mathematical Association of America.

Montelle C. and Plofker K. (2018) Content and classification of table texts. Sources and Studies in the History of Mathematics and Physical Sciences: 37-69. http://dx.doi.org/10.1007/978-3-319-97037-0_2.

Montelle C. and Plofker K. (2018) Elements of table texts. Sources and Studies in the History of Mathematics and Physical Sciences: 95-187. http://dx.doi.org/10.1007/978-3-319-97037-0_4.

Montelle C. and Plofker K. (2018) Further explorations. Sources and Studies in the History of Mathematics and Physical Sciences: 243-257. http://dx.doi.org/10.1007/978-3-319-97037-0_6.

Montelle C. and Plofker K. (2018) Introduction. Sources and Studies in the History of Mathematics and Physical Sciences: 1-36. http://dx.doi.org/10.1007/978-3-319-97037-0_1.

Montelle C. and Plofker K. (2018) Table-text manuscripts. Sources and Studies in the History of Mathematics and Physical Sciences: 71-94. http://dx.doi.org/10.1007/978-3-319-97037-0_3.

Montelle C. and Plofker K. (2018) The evolution of the table-text genre. Sources and Studies in the History of Mathematics and Physical Sciences: 189-241. http://dx.doi.org/10.1007/978-3-319-97037-0_5.

Montelle CJ. (2016) The Anaphoricus of Hypsicles of Alexandria. In Steele J (Ed.), The Circulation of Astronomical Knowledge in the Ancient World: 287-315. Leiden: Koninklijke Brill. http://dx.doi.org/10.1163/9789004315631_011.

Montelle CJ. and Ramasubramanian K. (2016) The numerical tables related to eclipse computation in the Parvadvayasādhana of Mallāri. In Ramasubramanian K; Sule A; Vahia M (Ed.), History of Indian Astronomy: A Handbook: 462-476. India: Hindustani Press.

Montelle C. (2015) Islamic Mathematical Astronomy. In Ruggles CLN (Ed.), Handbook of Archaeoastronomy and Ethnoastronomy: 1909-1916. New York: Springer Science+Business Media Dordrecht. http://dx.doi.org/10.1007/978-1-4614-6141-8_202.

Montelle C. (2013) Greek Numbers. In Bagnall RS; Brodersen K; Champion CB; Erskine A (Ed.), The Encyclopedia of Ancient History: 4827-4829. Oxford: Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21231.

Montelle C. (2013) Roman Numbers. In Bagnall RS; Brodersen K; Champion CB; Erskine A (Ed.), The Encyclopedia of Ancient History: 4830. Oxford: Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21233.

Jones C., Montelle C., Pratt A., Pickles K., Rack U., Holdaway RN., Pelser PB. and Sykes WR. (2011) Exploration & Discovery. In Jones C; Matthews B; Clement J (Ed.), Treasures of the University of Canterbury Library Christchurch: Canterbury University Press.

Montelle C. (2011) A 'Symbolic' History of the Derivative. In Shell-Gellasch A; Jardine R (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 151-158. Washington D.C.: Mathematical Association of America.

Montelle C. (2011) Amo, Amas, Amat! What's the sum of that? In Shell-Gellasch A; Jardine R (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 261-268. Washington D.C.: Mathematical Association of America.

Montelle C. (2011) Amo, amas, amat! what's the sum of that?: Bernoulli's account of the the divergent harmonic series in latin. Mathematical Time Capsules Historical Modules for the Mathematics Classroom: 261-268. http://dx.doi.org/10.5948/UPO9780883859841.034.

Montelle C. (2011) Roots, Rocks and Newton-Raphson: Algorithms for Approximating the √2 3000 Years Apart. In Shell-Gellasch A; Jardine R (Ed.), Mathematical Time Capsules: Historical Modules for the Mathematics Classroom: 229-240. Washington D.C.: Mathematical Association of America.

Montelle C. (2011) The 'Well-Known Calendars': al-Khazini's Description of Significant Chronological Systems for Medieval Mathematical Astronomy in Arabic. In Steele JM (Ed.), Calendars and Years II: Astronomy and Time in the Ancient and Medieval World: 107-125. Oakville: Oxbow Books.

Williams C. (2008) Some Details on the Transmission of Astral Omens. In Ross M (Ed.), From the Banks of the Euphrates: Studies in Honor of Alice Louise Slotsky: 295-314. Winona Lake: Eisenbrauns.

Montelle C. and Knudsen T. (2005) South-Central Asian Science. In Glick TF; Livesey SJ; Wallis F (Ed.), Medieval Science, Technology, and Medicine: An Encyclopedia: 462-465. New York: Routledge.

Williams C. (2002) Signs from the Sky Signs from the Earth: The Diviner's Manual Revisited. In Steele JM; Imhausen A (Ed.), Under One Sky: Astronomy and Mathematics in the Ancient Near East: 279-298. Munster: Ugarit-Verlag.

Conference Contributions - Published

Montelle C. (2011) Astronomical Tables in Second Millennium Sanskrit Sources. In Oberwolfach Reports 8(1): 675-677. http://dx.doi.org/10.4171/OWR/2011/12.

Clark KM., James A. and Montelle C. (2009) "Expert" vs. "Advanced": Investigating Differences in Problem-Solving Practices. In Proceedings: 50-62.

Montelle C. and Clark KM. (2009) Using History to Enrich Undergraduate Mathematics: Beyond the Anecdote. In Proceedings: 185-195.

Conference Contributions - Other

Montelle C. (2018) Mathematics The Language of the Universe. World Science Festival Brisbane, 21-25 Mar 2018.

Montelle CJ. (2017) Computation of Sines in Nityānanda's Sarvasiddhāntarāja. IIT-Gandhinagar, India: Exploring the History of Indian Mathematics: Indian Society of History of Mathematics, 4-6 Dec 2017.

Montelle CJ. (2017) Editing Dinakara's Candrārkī. Grenada, Spain: TAMAS: Third Workshop, 30 Jan-4 Feb 2017.

Montelle CJ. (2017) From karaṇa to koṣṭhaka: The emergence of numerical tables in second millennium Sanskrit astronomy. Deradun, India: National Confernece on History of Mathematical Sciences, 5-7 Oct 2017.

Montelle CJ. (2017) Special session on Indian Mathematics. Ethiraj Colleg for Women, Chennai, India: National Conference on Emerging Trends in Mathematics, 12-13 Dec 2017.

Montelle CJ. (2017) The Candrārkī of Dinakara: Astronomical tables for the sun and the moon. Christchurch, New Zealand: History of Science in India International Symposium, 19-20 Apr 2017.

Montelle CJ. (2015) Āmarāja’s commentary on Brahmagupta’s second order sine interpolation rule.. Mumbai, India: Indian Society for the History of Mathematics, 14-16 Nov 2015.

Montelle CJ. (2015) Discovering De Jong: Some highlights from De Jong's Correspondence. Christchurch, New Zealand: NZASIA, 29 Nov-1 Dec 2015.

Montelle CJ. (2015) What can numerical data reveal about approximation? Trigonometry and the associated interpolation rules in Brahmagupta's Khandakhadyaka. Université de Paris VII: SAW Conference Astral Sciences in the Ancient World, 26-31 Mar 2015.

Montelle CJ. (2014) Happy Birthday Bhaskara II (1114—1185) The Legacy of an celebrated mathematician. Christchurch, New Zealand: NZSAC Annual Symposium, 21 Sep 2014.

Montelle CJ. (2014) Making Tables from Text: From the Karanakutuhala to the Brahmatulyasarani. Thane, India: Bhaskara 900 Conference, 30 Aug-2 Sep 2014.

Montelle CJ. (2014) The circulation of knowledge in the ancient world Invited speaker at international conference â€œHypsicles of Alexandria and his little book on rising times. Brown University, Providence, RI, USA: The circulation of knowledge in the ancient world, 12-13 Apr 2014.

Montelle CJ. (2014) The Production of Sines: Bhaskara's Jyotpatti. University of Pune, Pune, India: International Conference for the History and Development of Mathematics, 27-30 Nov 2014.

Montelle CJ. (2014) The Two Cultures: What I have learned from blending the sciences and the humanities and a lot more in between. Wellington, New Zealand: National Conference of the New Zealand Association for Women in Science (AWIS), 9-11 Jul 2014.

Montelle C. (2013) Bhaskara's Brahmatulyasarini: The challenges arising from the preliminary quantitative analysis of a set of second millennium Indian tables. Manchester, UK: International Congress of History of Science, Technology and Medicine Quadriennal Conference, 21-28 Jul 2013.

Montelle C. (2013) Histoire Des Tables Numeriques Symposium: Three Presentations: "Transmission of Numerical Tables", "Table Cracking" and "Numerical Tables in Sanskrit Sources". Dol-De-Bretagne, France: Histoire Des Tables Numeriques, 28 Apr-4 May 2013.

Montelle CJ. (2013) Analysing Sanskrit manuscripts on topics in the astral sciences. Chennai Mathematics Institute, Chennai, India: HAMSI (History of Mathematics and Astronomical Sciences in India), 16-20 Dec 2013.

Montelle CJ. (2013) The emergence of cyclic tables in Indian Astronomy in the seventeenth century: Haridatta's Jagadbhusana and its Islamic Inspiration. Ramjas College Delhi University, India: ISHM (International Society for the History of Mathematics), 27-28 Nov 2013.

Montelle CJ. (2013) The Role of Observation in Mathematical Astronomy: Reports of Eclipses in Sanskrit Sources. JECRC University Jaipur, India: ICHDM (International Congress for the History and Development for Mathematics), 29 Nov-1 Dec 2013.

Van Brummelen G., Husson M. and Montelle C. (2013) Tools of the Table Crackers: Using Quantitative Methods to Analyze Historical Numerical Tables. Hartford, CT, USA: MAA MathFest, 30 Jul-3 Aug 2013.

Van Brummelen G., Husson M., Montelle C. and Bellhouse D. (2013) Tools of the Table Crackers: Using Quantitative Methods to Analyze Historical Numerical Tables. Manchester, UK: International Congress of History of Science, Technology and Medicine, 22-28 Jul 2013.

Montelle C. (2012) An Armilliary Sphere in the Sanskrit Tradition. Paris, France (via Skype): Universite Paris VII Seminar, 18-18 Dec 2013.

Montelle C. (2012) History of Numerical Tables. Institute de Mathématiques de Luminy, Marseilles, France: History of Numerical Tables, 26 Mar-4 Apr 2012.

Montelle C. (2012) Translating the elements into Sanskrit: Jagannatha's Rekhaganita. Boston, MA, USA: Joint Mathematics Meetings, 4-7 Jan 2012.

Montelle Clemency. (2012) Astronomical Tables in ancient Chinese manuscripts. Université Paris 7, Laboratoire SPHERE, Paris: Histoire de Science Histoire du texte, 22-23 Mar 2012.

Montelle Clemency. (2012) The Emergence of Cyclic Tables in Indian Astronomy in the seventeenth century: Haridatta’s Jagadbhusana and its Islamic Inspiration. Paris, France (via Skype): Transmission of Arabic Astronomical Tables in Sanskrit, Latin, Chinese, 24-25 Oct 2013.

Montelle C. (2011) Astronomical Tables in Sanskrit Sources. Mathematisches Forschungsinstitut Oberwolfach, Germany: History of Numerical and Graphical Tables, 28 Feb-4 Mar 2011.

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.

Montelle C., Plofker K. and Keller A. (2011) Contemporary Currents in South Asia Research. University of Canterbury, Christchurch, New Zealand: NZSAC's second Annual Research Symposium, 31-31 Oct 2011.

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.

Montelle C. (2010) Book XIV of Euclid's Elements. Calicut, India: International Congress of Mathematicians Satellite Conference, 29 Aug-1 Sep 2010.

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.

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.

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.

Montelle C. (2009) MLC 2078 and the History of the Mathematical Table. Adelaide, Australia: Australian Mathematical Society, 1 Sep 2009.

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.

Montelle C. (2008) A Symbolic History of the Derivative. Christchurch, New Zealand: Australian New Zealand Mathematics Colloquium, 1-1 Dec 2008.

Montelle C. (2008) The Net of Numbers: Engaging early examples for contemporary classrooms. San Diego, CA, USA: Joint Mathematics Meetings AMS-MAA, 1-1 Jan 2008.

Exhibition/Curatorial Exercises

Montelle CJ. and Congdon J. (2015) Discovering De Jong: A scholarly legacy of South Asian Resources. Central Library, University of Canterbury. 15 Nov-15 Dec 2015.

Williams., Clemency., Knudsen. and Toke. (2008) Sanskrit manuscripts in the Harvard Indic Collection. Houghton Library Harvard University. 24 Jul-2 Aug 2008.

Oral Presentations

Montelle CJ. (2016) The Two Cultures: What I have learned from blending the sciences and the humanities and a lot more in between. Wellington, New Zealand: Independent Schools of New Zealand.

Montelle CJ. (2015) Fifty-one rings! Amaraja builds an Armillary sphere. Université Paris-VII Denis-Diderot, Paris, France: SAW 3-month workshop Astral Sciences in the Ancient World.

Montelle CJ. (2015) History of Mathematics in India. Department of Mathematics, Lille University, Lille, France.

Montelle CJ. (2015) Le gnomon illuminé: pratiques mathématiques et astronomiques dans des textes arabes, latins et sanskrits.". L’Académie Des Sciences, Paris France: Gnomons et Cadrans Solaires a travers les ages.

Montelle CJ. (2015) Quelques réflexions sur la trigonométrie dans les sciences astrales en Sanskrit: Some reflections on trigonometry in the Sanskrit astral sciences. Université Paris-VII Denis-Diderot, CNRS, Paris, France: Séminaire SPHERE Histoire et Philosophie des Mathématiques.

Montelle CJ. (2015) Unveiling the Layers of Amaraja's commentary on Brahmagupta's sines. Université Paris-VII Denis-Diderot, CNRS, Paris, France: SAW 3-month workshop Astral Sciences in the Ancient World.

Montelle CJ. (2014) All Stars: Reflections on the Study of the History of Astral Sciences at Brown. Brown University, Providence, Rhode Island, USA: BROWN UNIVERSITY 250th ALUMNI REUNION.

Montelle CJ. (2014) Āmarāja’s commentary on the Khaṇḍakhākdyaka of Brahmagupta. Paris, France: SPHERE-CNRS Reading Mathematical Texts.

Montelle CJ. (2014) Amaraja's commentary on Brahmagupta's Sine Table. IIT Mumbai, Mumbai, India: History of Mathematics in Indic and Islamic Cultures Symposium.

Montelle CJ. (2014) How to build a sine table: Amaraja's Commentary on Brahmagupta's Sines. Chennai Mathematics Institute, Chennai, India.

Montelle CJ. (2014) How to compute planetary latitudes: an unusual mathematical approach in a Sanskrit commentary. University Paris Denis Diderot, Paris, France: SPHERE-CNRS SAW project.

Montelle CJ. (2014) NEEDHAM'S QUESTION" Reconsidering the history of astral sciences in India. University of Canterbury, Christchurch, New Zealand: University of Canterbury History Department Seminar.

Montelle CJ. (2014) The Brahmatulyasarani of Bhaskara. Université Paris-VII Denis-Diderot, CNRS, Paris, France: History of Science, History of Text Seminar Series.

Montelle CJ. (2014) The mathematics underlying parallax in Sanskrit sources. Universite Paris Denis Diderot, Paris, France: SAW (Sciences in the Ancient World).

Montelle C. (2013) Ancient Astronomy: Hypsicles of Alexandria. Canterbury University, Christchurch, New Zealand: Canterbury Astronomical Society Meeting.

Montelle CJ. (2013) Numerical Tables in Sanskrit Sources. Chennai Mathematics Institute, Chennai, India: HAMSI (History of Mathematics and Astronomical Sciences in India).

Montelle CJ. (2013) The Early History of the Pascal Triangle: Al- Samaw'al's table of binomial coefficients. Chennai Mathematics Institute, Chennai, India: CMI Faculty Seminar.

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.

Montelle C. (2010) Lining it Up: Spatial Liaisons in Sanskrit Computational Sources. History of Science, History of Text Seminar Series, 09 Sep 2014.

Montelle C. (2010) The Derivation and Justification of Mathematical Rules by a Twelfth Century Sanskrit Commentator. Institut Henri Poincare (CNRS).

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", 03 Mar 2009.

Montelle C. (2008) Crossing the Shadow: Eclipses in the Ancient Near East. Christchurch, New Zealand: Canterbury Astronomical Society.

Other

Montelle C. and Congdon J. (2018) [Blog] Discovering De Jong: Highlights from the collection of Jan Willem de Jong at the University of Canterbury. [https://blogs.canterbury.ac.nz/dejong/].

Montelle C. and Dani SG. (2018) Review of Karaṇapaddhati of Putumana Somayājī with translation and explanatory notes by Venketeswara Pai, K. Ramasubramanian, M.S. Sriram and M.D. Srinivas, Hindustan Book Agency: Delhi, 2017, 498pp. In Karaṇapaddhati of Putumana Somayājī Gaṇita Bhāratī 40(2): 191-198.

Montelle CJ. (2018) Happy Birth-Day, Mr X: a scholarly blog. WordPress. [https://blogs.canterbury.ac.nz/dejong/].

Montelle CJ. (2018) The three mathematicians of Serendip. The Creatory: Big Ideas 2018: 42-45. [Magazine Article].

Montelle CJ. (2017) Book Review of The Siddhāntasundara of Jñānarāja: An English Translation with Commentary, Toke Lindegaard Knudsen. Johns Hopkins University Press, Baltimore (2014), 351 pp.. Historia Mathematica Academic Press. http://dx.doi.org/10.1016/j.hm.2017.03.006.

Keller A. and Clemency M. (2014) Introduction to Special Issue on Numerical Tables in Sanskrit Sources. Indian Journal for History of Science 49(2) [Editorial].

Montelle C. (2014) Dr Sita Sundar Ram, Bījapallava of Kṛṣṇa Daivajña: Algebra in Sixteenth Century India. A Critical Study. Chennai: Kuppuswami Sastri Research Institute, 2012; 287pp. History of Science in South Asia 2 [Book Review].

Montelle C. (2013) Diophantus. In The Encyclopedia of Ancient History: 2135-2137. Oxford: Blackwell Publishing Ltd. http://dx.doi.org/10.1002/9781444338386.wbeah21112.

Montelle C. (2013) Francesca Rochberg, In the Path of the Moon: Babylonian Celestial Divination and Its Legacy. Studies in Ancient Magic and Divination, vol. 6. Leiden: Brill, 2010; 445pp. Journal of the American Oriental Society 133(2): 370-372. [Book Review].

Montelle C. (2013) George Gheverghese Joseph, The Crest of the Peacock: Non-European Roots of Mathematics. Princeton: Princeton University Press, 2011; 592pp. Notices of the American Mathematical Society(Dec 2013): 1459-1463. [Book Review].

Montelle C. (2013) J. M. Delire (ed.), Astronomy and Mathematics In Ancient India. Actes de la journée d'études organisée le 24 avril 2009 à l'Université Libre de Bruxelles. Leuven, Paris, Walpole MA: Peeters, 2012; 199pp. History of Science in South Asia 1: 79-82. [Book Review].

Montelle C. (2013) R. Netz, W. Noel, N. Tchernetska, N. Wilson (ed.) The Archimedes Palimpsest. Volume I: Catalogue and Commentary. Cambridge, Cambridge University Press, 2011; 350pp. The Classical Review 63(2): 377-381. http://dx.doi.org/10.1017/S0009840X13000334. [Book Review].

Montelle Clemency. (2013) Review of "The Crest of the Peacock: Non-European Roots of Mathematics George Gheverghese Joseph Princeton University Press, 3rd Edition, 2011". Notices of the American Mathematical Society December 2013: 1459-1463. http://dx.doi.org/10.1090/noti1068. [Book Review].

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].

Keller A. and Montelle C. (2011) Workshop on History of Numerical Tables. Indian Journal for the History of Science 46(1): 181-184. [Report].

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].

Montelle C. and Clark KM. (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].

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].

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.

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].

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].

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].

Theses / Dissertations

Williams C. (2005) Eclipse Theory in the Ancient World. Providence, Rhode Island, USA. Brown University.

Williams CJ. (1999) The analytic art: François Viéte and the development of mathematical analysis. Christchurch, New Zealand. University of Canterbury.

Student Supervision

Displaying all items.

Current

PhD - Anastasi S: Social Network Polarisation
PhD - Cidambi S: History of Mathematical Sciences in Sanskrit (2022)
PhD - Cornwall E: A mathematical history of the tangent function in various cultures of inquiry
PhD - Jha AK: Can quasi-mathematical objects have ontological rights?

Completed

PhD - Dhammaloka J: The Mathematical Chapters of Sripati's Siddhantasekhara an 11th century treatise on Astronomy in Sanskrit (2020)
PhD - Hosking R: Mechanical devices and the development of mathematical computation. A comparative study between medieval Europe and Edo period Japan (2015)
PhD - Melnad K: The Jagadbu?ana of Haridatta (2019)
PhD - Misra A: Mathematical Astronomy in second Millennium India (2016)
Masters - Bajri S: Arithmetic, induction, and the algebra of polynomials : Al-Samaw'al and his "Splendid book of algebra". (2011)
Masters - Davies J: Changes of Setting and the History of Mathematics: A New Study of Frege. (2009)
Masters - Hosking R: History of Mathematics In Japan (2011)
Masters - Rideout B: Pappus Reborn: Pappus of Alexandria and the changing face of analysis and synthesis in late antiquity (2008)
Honours - Black J: 2009-Honours-Black, Joshua (2009)
Honours - Bycroft C: Picturing Pythagoras: An Ancient Chinese Approach to Mathematical Reasoning (2008)
Honours - Bycroft C: The reception of Archimedean mathematical techniques in the seventeenth century (2009)
Honours - Dent J: Category Theory (2009)
Honours - Galbraith S: Philosophy of Mathematics: Fictionalism (2007)
Honours - Hosking R: 2008-Honours-Hosking, Rosalie (2008)
Honours - Humphries T: Tradition in Transition: a History of Medicine in the Mauryan Empire, ca. 321-185 BCE (2009)
Honours - Teng G: Al-Khwarizmi and the Development of Algebra (2006)
Honours - Wakelin T: Mathematical Nominalism (2020)
Summer Student - Gibson L: Philosophy of Mathematics: A study into notation (2021)
Summer Student - Newbound H: Episodes in the History of Chinese Mathematics (2021)
Summer Student - Poehler M: Greek History of Mathematics and notions of infinity (2021)

Research Groups

New Zealand South Asia Centre (NZSAC)