Reading ancient mathematical texts 2018-2019

Organisation : Agathe Keller et l’ensemble du groupe Reading mathematical texts
du laboratoire SPHERE

Université Paris Diderot, Bâtiment Condorcet
10 rue Alice Domon et Léonie Duquet 75013 Paris,
de 14h à 17h – salle 734A Gris – Plan et accès ici.

From October 2018 to  June 2019

Session 1 – October 8th, 2018
PAN Shuyuan (SPHERE and Institute for the History of Natural Sciences, Beijing).
A Chinese Version of Rule of Three Just Before the European Method was Introduced: Reading a paragraph in Comprehensive Source of Mathematical Methods (Suanfa tongzong, 1592)

Session 2 – November 12th, 2018
Catherine Morice-Singh (SPHERE, Université Paris Diderot)
Autour du kuṭṭaka chez Māhavīra

Session 3 – December 3rd, 2018
Christine Proust (SPHERE, Université Paris Diderot)
La collection Schoyen, le pillage des antiquités en temps de guerre, et les problèmes éthiques: que faire avec des sources qui bouleversent l’histoire des mathématiques? Lecture du texte mathématique cunéiforme MS 3971

A special Session – December 12th, 2018
Clemency Montelle (University of Canterbury)
The Parvadvayasādhana of Mallāri: A short treatise for computing eclipse phenomenaThe Parvadvayasādhana of Mallāri is a short text composed in the late 16th century for computing the circumstances and features of lunar and solar eclipses. The text is made up almost entirely of versified numerical data, however most manuscript copies include graphical tables alongside the verses. We consider this feature of the work, and many others: the underlying algorithms and their connection to other authors, the way in which metrological units are expressed, and the accompanying commentaries to this text which include historical worked examples with diagrams illustrating the progress of the eclipse.

Session 4 – January 21st, 2019
Laure Miolo (Observatoire de Paris)
Les calculs d’éclipses de Jean de Gênes: le cas de l’éclipse solaire de mars 1337/John of Genoa’s eclipse computations: the case of the Solar eclipse of March 1337

Session 5 – February 18th, 2019) (two sessions: morning and afternoon !)
Morning 9h30-12h30. Eleonora Sammarchi (SPHERE, Université Paris Diderot)
Nombres et quantités algébriques dans l’arithmétique-algèbre d’al-Zanjānī (et al-Karajī)
Afternoon 14h-17h. Karine Chemla (SPHERE, Université Paris Diderot)
Figures fondamentales en Chine ancienne/ Fundamental figures in Ancient China

Session 6 – March 18th, 2019 (two sessions: morning and afternoon !)
Morning 9h30-12h30. Adeline Reynaud (SPHERE, Université Paris Diderot)
Figures fondamentales en Mésopotamie et en Chine anciennes
Fundamental Figures in Mesopotamia and Ancient China
Afternoon 14h-17h. Mathieu Ossendrijver (Humboldt-Universität zu Berlin), sous réserve, to be confirmed.
On late babylonian mathematical texts

Session 7 – April 1st, 2019
Agathe Keller (SPHERE, Université Paris Diderot)
Une règle et sa demonstration: des suites géométriques par Pṛthūdhaka
A rule and its proof: a discussion by Pṛthūdaka on geometrical progressions

Session 8 – May 20th, 2019
P. M. Vrinda (G. U. P. S. Pathappiriyam, Inde)
The method of squaring as described in Śaṅkara Vāriyar’s Kriyākramakarī a sixteenth century Sanskrit commentary on the Līlāvatī

Session 9 – June 17th, 2019
9h30-12h30 (nb : attention horaire modifié)
Alexis Trouillot (SPHERE, Université Paris Diderot)
Quelques vers sur l’arithmétique conservés en Mauritanie

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Les programmes des années précédentes sont ici et pour le séminaire de mai 2018 sur Ptolémée, c’est .
The previous academic year’s programmes are here and for the seminar on Ptolémée in May 2018, there.