Question
Early examples of the Taylor series were included in a mathematical treatise from this region called the Yuktibhasa (yook-ti-BHA-shuh). For 10 points each:
[10h] Name this state whose namesake medieval school of mathematics and astronomy included scholars like Nilakantha Somayaji (“neel-uh-kun-tha soam-uh-YAH-jee”) and Parameshvara. A 1341 flood in this state may have destroyed its ancient harbor at Muziris.
ANSWER: Kerala
[10m] Many of the manuscripts produced by the Kerala school were written on this material. The Pali Canon was originally written on this material, also used for manuscripts in Southeast Asian states like Majapahit.
ANSWER: palm leaves [prompt on leaves]
[10e] The Yuktibhasa included a series to derive an approximation of this number. The ancient Indian mathematician Aryabhata (“AAR-ya-bhatt-uh”) approximated this number to be 3.1416.
ANSWER: pi
<Gov Prabhakar, World History>
Summary
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