Multiplying Integers: on the diverse practices of medieval Sanskrit authors - HAL-SHS - Sciences de l'Homme et de la Société
Chapitre D'ouvrage Année : 2022

Multiplying Integers: on the diverse practices of medieval Sanskrit authors

Résumé

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.
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Dates et versions

halshs-01006135 , version 1 (13-06-2014)
halshs-01006135 , version 2 (24-07-2014)

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Agathe Keller, Catherine Morice-Singh. Multiplying Integers: on the diverse practices of medieval Sanskrit authors. Chemla, 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⟩. ⟨halshs-01006135v2⟩
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