Agathe Keller
39
Documents
Presentation
I work on the mathematical practices testified by Sanskrit treatises and commentaries of the 5-12 centuries. I am currently working on a critical edition of Caturveda Pṛthūdakṣvamin (fl. 860 )'s commentary on the mathematical chapter of the *Brāhmasphuṭasiddhānta*.
I also explore 19 and 20th century histories of mathematics in India written outside and within the Indian subcontinent, underlying notably their political context. I am also interested in the way critical editions and translations of mathematical texts were elaborated and then circulated and read and the influence this has had on present day historiographies.
Mon travail porte sur les pratiques mathématiques dont témoignent traités et commentaires sanskrits entre le 5ème et le 12ème siècle après notre ère.
Je prépare en ce moment une édition critique du commentaire de Caturveda Pṛthūdakṣvamin (fl. 860 ) au Chapitre mathématique du {Brāhmasphuṭasiddhānta}.
Je m’intéresse aussi à la manière dont on a écrit l’histoire des mathématiques du sous-continent indien, depuis l’Europe du 18ème siècle, jusqu’à l’Inde d’aujourd’hui. Ce travail s’intéresse aux controverses et aux aspects politiques de ces textes, et à la manière dont ce sont forgées des éditions critiques et des traductions. J’ai ainsi pu mettre en lumière qu’au cours du 19ème siècle est né une littérature d’histoire des mathématiques en Inde écrite par des indiens, progressivement mû par une volonté nationaliste.
Publications
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Reasoning on Sines: Pṛthūdaka’s commentary on Brahmagupta’s Brāhmasphuṭasiddhānta (BSS.21.17-23)Practices of Reasoning in the Mathematical Sciences, Dec 2017, Paris, France
Conference papers
halshs-01676433v1
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What are the proofs of Prthudaka’s commentary on the mathematical of the Brāhmasphuṭasiddhānta? An exploration of his explanations of Brahmagupta's rules on progressions.Commentaries, a Workhop, Karine Chemla, Mark Geller, Glenn W. Most, Aug 2016, Berlin, Germany
Conference papers
halshs-01427304v1
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Modes of Self-orientalism in « Vedic Mathematics »7th ESHS Conference, Sep 2016, Prague, Czech Republic
Conference papers
halshs-01427284v1
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A Historiographical Exploration of Āryabahṭa's verses on Indeterminate Problems of the First DegreeWriting histories of ancient mathematics – Reflecting on past practices and opening the future, 18th – 21st centuries, Chemla, Keller, and Proust, Oct 2016, Paris, France
Conference papers
halshs-01427248v1
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Comment on a écrit les nombres dans le sous- continent indien, histoires et enjeuxComment on a écrit les nombres dans le sous-continent indien, histoires et enjeux, Nov 2006, Paris, France. pp.65-82
Conference papers
halshs-00150726v1
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Cultures of Computation and Quantification in the Ancient WorldSpringer International Publishing; Springer International Publishing, 6, 2022, Why the Sciences of the Ancient World Matter, ⟨10.1007/978-3-030-98361-1⟩
Books
halshs-03921113v1
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Cultures of computation and quantification in the ancient world. Numbers, measurements, and operations in documents from Mesopotamia, China and South Asia, Springer, 2022, à paraître.K. Chemla, A. Keller, C. Proust (eds.). Springer Nature, 2022
Books
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Maths Express au carrefour des culturesMarc Moyon. CIJM - Comité International des Jeux Mathématiques, 2014, Marie José Pestel
Books
hal-01243346v1
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Performing Multiplications Beyond the Text of Some Sanskrit Mathematical CommentariesManuscripts and Performances in Religions, Arts, and Sciences, De Gruyter, pp.73-116, 2023, ⟨10.1515/9783111343556-005⟩
Book sections
hal-04343551v1
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Multiplying Integers: on the diverse practices of medieval Sanskrit authorsChemla, Karine; Keller, Agathe et Proust, Christine. Cultures of computation and quantification in the ancient world, 6, Springer WSAWM; Springer International Publishing, pp.495-552, 2022, Why the Sciences of the Ancient World Matter, ⟨10.1007/978-3-030-98361-1_9⟩
Book sections
halshs-01006135v2
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Characterizing a Sanskrit Mathematical Commentary: An exploration of Pṛthūdaka‘s Vāsanābhāṣya on progressionsKarine Chemla; Glenn Most. Mathematical Commentaries in The Ancient World. A global perspective, Cambridge University Press, pp.96-140, 2022, 978-1-108-83957. ⟨10.1017/9781108884488.003⟩
Book sections
halshs-03101614v1
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Shaping a Mathematical Text in Sanskrit: H. T. Colebrooke, Sudhākara Dvivedin, and Pṛthūdaka’s commentary on the twelfth chapter of the BrāhmasphuṭasiddhāntaKeller, Agathe; Chemla, Karine. Shaping the Sciences of the Ancient World Text Criticism, Critical Editions and Translations of Ancient Scholarly Texts, inPress, WSAWM
Book sections
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History of Numerical Tables in Sanskrit SourcesTournes, Dominique. History of Numerical Tables, Springer, In press, WSAWM
Book sections
halshs-01006137v1
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Reconstruire l'exécution des opérations élémentaires dans les sources sanskrites médiévales: des tableaux numériques éphémères?Artigue, Michèle et Husson, Mathieu. Actes de la 13ème journée d'étude-Tables, Tableaux, Graphiques, IREM-Université Denis Dierot-Paris 7, pp.33-46, 2015, Reconstruire l'exécution des opérations élémentaires dans les sources sanskrites médiévales: des tableaux numériques éphémères?
Book sections
halshs-00986997v1
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Ordering operations in square root extractionsChemla, Karine and Virbel, Jacques. Texts, Textual Acts and the History of Science, Springer (Archimedes), pp.183-218, 2015
Book sections
halshs-00506929v2
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History of mathematical education in ancient, medieval and pre modern India (within the Chapter: Mathematics Education in Oriental Antiquity and Middle Ages)Karp and Schubring. Handbook on the History of Mathematics education, Springer, pp.70-83, 2014
Book sections
halshs-01006132v3
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Is "Hindu mathematics" a European idea? Gleanings on the politics of the history of arithmeticsPublicacions de la residència d'investigadors, 38, pp.332, 2013, 978-84-931588-4-2
Book sections
halshs-00197160v1
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Dispelling mathematical doubts. Assessing the
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Overlooking mathematical justifications in the Sanskrit tradition: the nuanced case of G. F. ThibautHistory of Mathematical Proof in Ancient Traditions, Cambridge University Press, pp.260-273, 2012
Book sections
halshs-00150736v2
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On Sanskrit commentaries dealing with mathematics (Vth-XIIth century)Bretelle-Establet, Florence. Looking at it from Asia: the Processes that Shaped the Sources of History of Science, Boston Studies in the Philosophy of Science, pp.211-244, 2010
Book sections
halshs-00189339v4
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Qu'est ce que les mathématiques ? Les réponses taxinomiques de Bhåskara, un commentateur, mathématicien et astronome indien du VIIe siècleKimé. Sciences et Frontières, pp.29-61, 2007
Book sections
halshs-00151008v1
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Chapitre sur le pulvérisateur chez Bhâskara I
Expounding the mathematical seed, Bhâskara and the Ganitapada of the Âryabhatîya, Birkhaüser, 2006
Book sections
halshs-00114947v1
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Hindu nationalism and History of Science: some reflexions2013
Preprints, Working Papers, ...
halshs-00878974v1
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Compte Rendu sur la Session consacrés aux Scientifiques Engagés au colloque international de Pékin, Juillet 20052005
Preprints, Working Papers, ...
halshs-00007147v1
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Vedic Mathematics : enjeux multiples de l'histoire des sciences en Inde2003
Preprints, Working Papers, ...
halshs-00069276v1
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Glossary of my translation of Bhâskara's commentary to the AaryabhaTiiya2000
Preprints, Working Papers, ...
halshs-00006347v1
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Appendix on some elements of Indian Astronomy2000
Preprints, Working Papers, ...
halshs-00006348v1
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Un commentaire indien du VIIème siècle, Bhâskara et le ganitapada de l'aryabhatiyaHistoire, Philosophie et Sociologie des sciences. Université Paris 7 - Denis Diderot, 2000. Français. ⟨NNT : ⟩
Theses
halshs-00006349v1
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