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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.
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Contributor : Agathe Keller <>
Submitted on : Thursday, July 24, 2014 - 6:18:46 PM
Last modification on : Tuesday, April 14, 2020 - 2:38:32 PM
Long-term archiving on: : Tuesday, November 25, 2014 - 5:25:46 PM


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  • HAL Id : halshs-01006135, version 2


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



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