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By Martin Heidegger

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Madhava and his disciples probably lived and worked in large compounds called illams situated mainly in Brahmin settlements, concentrated into an area less than five-hundred square miles north of Cochin. Many of these illams belonged to households owning large landed properties. 5 A Pa s s ag e t o I n f i n i t y 37 These illams provided a base for the education of the young in Sanskrit works, including mathematical and astronomical classics (notably the Aryabhatiya of Aryabhata and its commentaries).

Many of these illams belonged to households owning large landed properties. 5 A Pa s s ag e t o I n f i n i t y 37 These illams provided a base for the education of the young in Sanskrit works, including mathematical and astronomical classics (notably the Aryabhatiya of Aryabhata and its commentaries). Not only was the transmission of knowledge accomplished in these illams, but they also provided a center for research and scholarship. 7 To obtain a flavor of the mathematics of the Kerala School, consider the following quotation from Jyesthadeva’s Yuktibhasa relating to the arctan series.

1340–1425) and developed by his disciples, Nilakantha Somayaji (fl. 1444–1500), the author of Tantrasangraha (“A Digest of Scientific Knowledge”); Sankara Variyar (1500–1560) and Narayana (c. 1500– 1575), the authors of Kriyakramakari (“Operational Techniques”); Jyesthadeva (fl. 1500–1610), the author of the Yuktibhasa (“An Exposition of the Rationale”); Acyuta Pisharoti (fl. 1550–1621), the author of the Sphutanirnaya; Putumana Somayajin (fl. 1660–1740), the author of Karanapaddati (“A Manual of Performances in the Right Order”); and others.

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