Person · astronomer & mathematician · India
Nīlakantha Somayāji
Also known as Nilakantha Somayaji — Kerala school
The 15-16 century Kerala school astronomer-mathematician Nilakantha Somayaji (1444-1545), who extended the Kerala school's planetary astronomy to a sophisticated geo-heliocentric model (planets orbiting the Sun which itself orbits the Earth) in his 1501 Tantrasamgraha. The Tantrasamgraha was the first known text to use trigonometric series expansions (sine, cosine, arctangent) and correctly compute planetary positions using these series. Nilakantha's work includes the Aryabhatiya-Bhashya (commentary on Aryabhata) and the Jyotirmimamsa. His discovery of the infinite series for pi, arctangent, and the trigonometric functions anticipates Western calculus by 300 years (the Madhava-Leibniz series for pi was independently rediscovered by Leibniz in 1673). The Kerala school's astronomical observations at Trikkantiyur in Malappuram district continued through the 17-century.
- Date
- 1444–1544
- Function
- Science & medicine
- Condition
- historical person
- Confidence
- Established / referenced
- Location
- 10.680, 76.180
About the place
Placed in the Trichur–Tirur country of central Kerala, where the Kerala school of astronomy worked. He belonged to Tirunavaya on the Bharathapuzha and wrote the Tantrasangraha in 1501.
Connections (3)
- Teaching lineageSangamagrama
The Kerala school runs from Mādhava about 1400 through Parameshvara, Nīlakantha and Jyeshthadeva to the seventeenth century — a documented teacher-to-student line over ten generations in one small stretch of Malabar. It produced infinite series for the trigonometric functions, a heliocentric model for the inner planets, and proofs; and it stayed almost entirely unknown outside Kerala until the nineteenth century.
- Teaching lineageJyeshthadeva
Nīlakantha wrote in Sanskrit and his successor Jyeshthadeva wrote the Yuktibhāshā in Malayalam within a generation, which is the moment a vernacular was judged capable of carrying technical mathematics — proofs, derivations, infinite series. It is the clearest recorded instance in India of a spoken language being deliberately promoted into a scientific medium, and it happened two centuries before any European language managed the same.
- AnalogueGautama Siddha (Qutan Xida)
The sine table that Gautama Siddha carried into Chinese practice in 718 came from the Indian astronomical tradition that Āryabhata began and that the Kerala school later pushed furthest — Nīlakantha Somayāji working out planetary models and infinite series in the fifteenth century. What moved east was the computational apparatus rather than the cosmology: Chinese astronomy took the trigonometry and the decimal notation and left the Puranic frame, which is the usual shape of a successful technical transmission.
On these journeys
- Mathematics and astronomy — Kusumapura to Sangamagrama
- Knowledge networks — how ideas moved
- The making of Indian languages and scripts
Sources
K.V. Sarma, A History of the Kerala School of Hindu Astronomy; Tantrasangraha studies.
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