Ebook: Tantrasangraha of Nilakantha Somayaji with Yuktidipika and Laghuvivrti of Sankara / तंत्रसंग्रह

Hoshiarpur: Panjab University, 1977. — 455 p.Сарма К.В. (ред.) Тантра-санграха Нилаканты Сомаяджи, Юктидипика и Лагхувиврти Санкары (на санскр. и англ. яз.)Contents:
Introduction.
The mean planets.
The true planets.
Gnomonic shadow.
Lunar eclipse.
Solar eclipse.
Vyatipata.
Reduction to observation.
Elevation of the lunar horns.
Appendices.
Addenda et corrigenda.It is an important astronomical treatise written by Nilakantha Somayaji, an astronomer belonging to the Kerala school of astronomy and mathematics. The treatise was completed in 1501 CE. It consists of 432 verses in Sanskrit divided into eight chapters. It had spawned a few commentaries: Tantrasangraha-vyakhya of anonymous authorship and Yuktibhāṣā authored by Jyeshtadeva in about 1550 CE. Tantrasangraha, together with its commentaries, bring forth the depths of the mathematical accomplishments the Kerala school of astronomy and mathematics, in particular the achievements of the remarkable mathematician of the school Sangamagrama Madhava. In his book, Nilakantha revised Aryabhata's model for the planets Mercury and Venus. His equation of the centre for these planets remained the most accurate until the time of Johannes Kepler in the 17th cen.