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Tantrasaṅgraha of Nīlakaṇṭha Somayājī

Tantrasaṅgraha of Nīlakaṇṭha Somayājī
Catalogue Information
Field name Details
Dewey Class 510.9
Title Tantrasaṅgraha of Nīlakaṇṭha Somayājī (EB) / by K. Ramasubramanian, M.S. Sriram.
Author Ramasubramanian, Krishnamurthi , 1969-
Added Personal Name Sriram, Mankal Shankar
Other name(s) SpringerLink (Online service)
Edition statement 1.
Publication London : Springer London , 2011.
Physical Details XXX, 598 pages : 173 illus., 167 illus. in color. : online resource.
Series Sources and studies in the history of mathematics and physical sciences
ISBN 9780857290366
Note Published in association with Hindustan Book Agency.
Summary Note Tantrasaá¹graha, composed by the renowned Kerala astronomer Nīlakaṇṭha Somayājī (c. 1444-1545 CE) ranks along with ÄryabhatÄ«ya of Äryabhata and SiddhÄntaÅiromani of BhÄskarÄcÄrya 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 Tantrasaá¹graha, 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 textâapplied to a variety of problems such as the computation eclipses, elevation of the moonâs cusps and so forthâare also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasaá¹graha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chaptersâmean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatÄ«pÄta, reduction to observation and elevation of the moonâs cuspsâand 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 Tantrasaá¹graha 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.:
Contents note Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatīpāta -- Reduction to observation -- Elevation of lunar horns -- Appendices.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-0-85729-036-6
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