History • Medieval IndiaHard
Analyze the structural and mathematical contributions of the Kerala School of Astronomy and Mathematics during the medieval period: 1. Madhava of Sangamagrama formulated infinite series expansions for sine, cosine, and arc-tan functions centuries before European mathematicians. 2. Nilakantha Somayaji formulated a refined planetary model in his work Tantrasangraha that closely approximated planetary orbits around the sun while retaining geocentric computational structures. Which of the statements given above is/are correct?
A. 1 only
B. 2 only
C. Both 1 and 2✓ Correct Answer
D. Neither 1 nor 2
💡 Solution & Explanation
Both statements 1 and 2 are correct. Madhava pioneered mathematical analysis by discovering power series expansions that formed the bedrock of calculus. Nilakantha Somayaji advanced astronomical theory in Tantrasangraha by proposing a geoheliocentric model where inner planets revolve around the sun while the sun revolves around the earth. These intellectual breakthroughs flourished in the temple academies and village mathas of medieval Kerala.
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