logo Sphere
Logo Université Paris-Diderot Logo Université Paris1-Panthéon-Sorbonne


Sur ce site

Sur le Web du CNRS

Accueil > Archives > Séminaires des années précédentes > Séminaires 2013–2014 : archives > Lecture de textes mathématiques 2013–2014

Axe Histoire et philosophie des mathématiques

Lecture de textes mathématiques 2013–2014

Responsable : Agathe Keller - CNRS, REHSEIS–SPHERE

Comme tous les ans, nous lisons des sources originales et leurs traductions, présentées par leur traducteur.

PROGRAMME 2013 – 2014 : les mercredis, de 10h à 13h, Université Paris Diderot, bâtiment Condorcet, 4 rue Elsa Morante, 75013 Paris* – plan d’accès.

3 décembre, !! 13:00 – 17:00 !!, salle Gris, 734 A

  • Krishnamurthi Ramasubramanian (IIT Mumbai)

    Extracts of the Karaṇapaddhati.

11 décembre, 10:00 – 13:00, salle Malevitch, 483A

  • Pascal Crozet (SPHERE)

    Les opérations arithmétiques chez Abū Kamil.

18 décembre, 10:00 – 13:00, salle Rothko, 412B

  • Matthieu Husson (SPHERE)

    Division of algebraic expressions in the Quadripartitum numerorum of John of Murs (14th c. France)

    In his Quadripartitum numerorum John of Murs progressively shaped mathematical procedures for the division of algebraic expressions using a specific division table as well as a “denominatio” for algebraic expressions with quotients. During the seminar we will examine the portions of texts where this procedure is described and look at the impact of this procedure on the solving of equations.

15 janvier, 10:00 – 13:00, salle Malevitch, 483A

  • Agathe Keller (SPHERE, CNRS & SAW)

    Bhāskara I (629) ’s table of solutions of linear indeterminate equations with astral parameters.

29 janvier, 10:00 – 13:00, salle Mondrian, 646A

  • Daniel P. Morgan (SAW)

    Introduction to the Procedures of Early Chinese Mathematical Astronomy : The Luminous Inception system of 237 CE.

    In this text-reading, we will attempt to make our way through the first half (or so) of the Luminous Inception system (Jingchu li 景初曆), a manual of li mathematical astronomy from 237 CE. The Luminous Inception system saw use from the third to fifth centuries CE ; the concepts and mathematics involved are very simple ; and, in as much as the Chinese li manual genre changed very little from the first to sixteenth centuries CE, this manual serves as an excellent entrée into the greater genre. This session is intended as an introduction to reading key materials in the Chinese astral sciences through which we may begin to discuss how and what mathematics were deployed for astronomical purposes.

5 février, 10:00 – 13:00, salle Klein, 612 B

  • Charles Burnett (Warburg Institute)

    Computing with the Gerbertian Abacus.

12 février, 10:00 – 13:00, salle Mondrian, 646A

  • Matthieu Ossendrijver (Humboldt University)

    Two challenging Late Babylonian procedure texts for constructing a gnomon.

19 février, 10:00 – 13:00, salle Mondrian, 646A

  • Hermann Hunger (Univ. of Vienna)

    Mesopotamian astronomical diary.

12 mars, 10:00 – 17:00, salle Rothko, 412B

  • QU Anjing (Northwest University, Xi’an)

    The shape of earth and algorithm of lunar eclipse.

    Several pieces of original texts related to the lunar eclipse in calendar-making systems in dynasties of Tang, Song and Yuan will be read. We will come to the conclusion that those Chinese mathematicians would have to make use of the assumption that the earth is round to construction their algorithm although they never mentioned such a fact.
  • Lis Brack-Bernsen (Univ. Regensburg)

    Texts testifying of numerical functions describing periodic astronomical phenomena in Mesopotamia.

19 mars, 10:00 – 17:00, salle Mondrian, 646A

  • Steve Schnider (Bar Ilan Univ., Israel)

    The Saros Text and the secret of Column Φ.

    The astronomical cuneiform tablet BM 36705 was published by Neugebauer
    in 1957. An additional corner fragment was found and published by
    Aaboe in 1968. The tablet revealed the special meaning of the
    sexagesimal number 17,46,40, familiar from other texts, and provided
    the first big step in the understanding Column Φ developed by Aaboe
    and Britton. We will read and discuss some of the text with the help
    of commentary by Neugebauer, Aaboe and Ossendrijver.
  • Clemence Montelle (Univ. of Canterbury)

    Āmarāja’s commentary on the Khaṇḍakhākdyaka of Brahmagupta.

2 avril, 10:00 – 13:00, salle Klein, 612B

  • Marc Kalinowski (EPHE)

    The preface to the Yisizhan.

9 avril, 10:00 – 17:00, salle Mondrian, 646 A

  • Zhu Yiwen (former SAW)

    Qin Jiushao on the Chinese remainder theorem.
  • Krishnamurthi Ramasubramanian (IIT Mumbai)

    Extracts of the Karaṇapaddhati.

30 avril, 10:00 – 13:00, salle Mondrian, 646 A

  • Sho Hirose (SAW)

    Extracts from Parameśvara’s Goladīpika.

21 mai, 10:00 – 17:00, salle Mondrian, 646 A

  • Michio Yano (Kyoto Sangyo University)

    Extracts of the Siddhāntaśiromaṇi of Bhāskara II.
  • Li Liang (IHNS, Chinese Academy of Science, Beijing and ex-HTN)

    Huihui lifa (Muslim cadendrical astronomy in China).

4 juin, 10:00 – 13:00, salle Mondrian, 646 A

  • Gautami Bhowmik (SPHERE)

    Magic Squares in Sanskrit texts.

    Magic squares have long been used in diverse contexts and cultures and are interesting combinatorial objects. We shall discuss some methods of their construction as found in Chapter XIV of Nārāyaṇa Paṇḍita’s Gaṇitakaumudi (1356).

18 juin, 10:00 – 17:00, salle Mondrian, 646 A

  • Kim Plofker (Union College)

    The Sūryagrahana of Muhammad Shah.
  • Glen van Brummelen (Quest Univ., Canada)

    Precision and Approximation in Trigonometric Tables : Ancient Greece and Medieval Islam

    Ptolemy’s chord table, the earliest trigonometric table and the ancestor of all that followed, nevertheless contained a flaw inherent in its structure : with the circle divided into 360 parts, only 1/3 of the entries can be computed relying on geometric methods. Ptolemy was therefore forced into approximation. Discomfort with Ptolemy on this point (among others) spread to medieval Islam, with Ibn al-Haytham expounding a criticism, and al-Samaw’al offering an unusual solution. We shall read texts from all three authors.

25 juin, 10:00 – 13:00, salle Klein, 612B

  • Willis Monroe (Brown University)

    Micro-Zodiac Schemes in Late-Babylonian Astrology and Astronomy.

Accès :
Métro ligne 14 / RER C / Station : Bibliothèque François Mitterrand

Métro ligne 6 / Station : Quai de la Gare

Bus 64 / Arrêt : Tolbiac-Bibliothèque François Mitterrand
Bus 62 & 89 / Arrêt : Avenue de France or Bibliothèque François Mitterrand (terminus)
Bus 325 / Arrêt : Watt