Sistema Bibliotecario de la Universidad de Quintana Roo

Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatpta -- Reduction to observation -- Elevation of lunar horns -- Appendices.

Tantrasaߠgraha, composed by the renowned Kerala astronomer Nlakaߠtha Somayaji (c. 14441545 CE) ranks along with ryabhatya of ryabhata and Siddhntaʢiromani of Bhskarcrya as one of the major works that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is the introduction of a major revision of the traditional planetary models which includes a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available. Several important innovations in mathematical technique are also to be found in Tantrasaߠgraha, especially related to the computation of accurate sine tables, the use of series for evaluating the sine and cosine functions, and a systematic treatment of the problems related to the diurnal motion of the celestial objects. The spherical trigonometry relations presented in the textapplied to a variety of problems such as the computation eclipses, elevation of the moons cusps and so forthare also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasaߠgraha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chaptersmean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatpta, reduction to observation and elevation of the moons cuspsand 432 verses. All the verses have been translated into English and are supplemented with detailed explanations including all mathematical relations, figures and tables using modern mathematical notation. This edition of Tantrasaߠgraha will appeal to historians of astronomy as well as those who are keen to know about the actual computational procedures employed in Indian astronomy. It is a self-contained text with several appendices included, enabling the reader to comprehend the subject matter without the need for further research.

ZDB-2-SMA