Multiplying Integers: on the diverse practices of medieval Sanskrit authors

Abstract : We examine the diverse ways Brahmagupta (628 CE), Mahāvīra (ca. 850), Śrīdhara (ca. 750-900) and their commentators understood how a multiplication could be executed. We describe a variety of algorithms. We note how commentators give us clues to how numbers are shaped for execution, how the procedure is displayed on a working surface, etc. We attempt to evaluate in which ways resources of the decimal place value notation were used. The current historiography of elementary operations in Sanskrit sources is also revised along the way.
Type de document :
Pré-publication, Document de travail
2014
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https://halshs.archives-ouvertes.fr/halshs-01006135
Contributeur : Agathe Keller <>
Soumis le : jeudi 24 juillet 2014 - 18:18:46
Dernière modification le : mardi 11 octobre 2016 - 14:41:33
Document(s) archivé(s) le : mardi 25 novembre 2014 - 17:25:46

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  • HAL Id : halshs-01006135, version 2

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Agathe Keller, Catherine Morice-Singh. Multiplying Integers: on the diverse practices of medieval Sanskrit authors. 2014. <halshs-01006135v2>

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