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Title: Multiplying Integers: on the diverse practices of medieval Sanskrit authors
Contributor: The Pennsylvania State University CiteSeerX Archives
Author: K. Chemla
Catherine Morice-singh
Comments Of S. R. Sarma
T. Kusuba
B. Mélès
C. Proust
Agathe Keller
Description: This is a submitted draft. All comments and suggestion for corrections are welcome.1 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. 1The research leading to these results has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement n. 269804. We would like to thank the invaluable
URI: https://www.amad.org/jspui/handle/123456789/72590
Other Identifier: http://hal-univ-diderot.archives-ouvertes.fr/docs/01/04/52/41/PDF/Keller-Morice-Singh24-07-2014.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.2450
AMAD ID: 568377
Appears in Collections:BASE (Bielefeld Academic Search Engine)
General history of Europe


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