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Geometrical Representation of Arithmetic Series

Gautami Bhowmik (Université de Lille)


Although the occurrence of "series-area" in this context is quite unusual, there is some evidence in Sanskrit arithmetic texts from medieval India that arithmetic series were represented geometrically at least from the time of Śrīdhara in the 9th or 10th centuries until the time of Nārāyaṇa Paṇḍita in the 14th century. We use old and new translations of these texts to introduce you and your students to geometric problems involving arithmetic series.

Gautami Bhowmik (Université de Lille), "Geometrical Representation of Arithmetic Series," Convergence (December 2015)