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Tantrasaṅgraha of Nīlakaṇṭha Somayājī de K. Ramasubramanian

Tantrasaṅgraha of Nīlakaṇṭha Somayājī: Sources and Studies in the History of Mathematics and Physical Sciences

Autor K. Ramasubramanian, M. S. Sriram
en Limba Engleză Hardback – 17 mar 2011
Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at 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.
In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.
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Specificații

ISBN-13: 9780857290359
ISBN-10: 0857290355
Pagini: 595
Ilustrații: XXX, 598 p. 173 illus., 167 illus. in color.
Greutate: 1.18 kg
Ediția:2011
Editura: SPRINGER LONDON
Colecția Springer
Seria Sources and Studies in the History of Mathematics and Physical Sciences

Locul publicării:London, United Kingdom

Public țintă

Research

Cuprins

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

Recenzii

From the reviews:
“The book … serve as a reasonably self-contained introduction to mathematical astronomy as practiced in classical India. This volume will be of interest to general historians of mathematics, and also to those mathematicians who have some knowledge of Sanskrit and who would like to read Indian mathematical texts in the original … .” (Homer White, The Mathematical Association of America, August, 2012)

Textul de pe ultima copertă

Tantrasaṅgraha, composed by the renowned Kerala astronomer Nīlakaṇtha Somayaji (c. 1444–1545 CE) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya 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 Tantrasaṅgraha, 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 text—applied to a variety of problemssuch as the computation eclipses, elevation of the moon’s cusps and so forth—are also exact.
In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasaṅgraha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatīpāta, reduction to observation and elevation of the moon’s cusps—and 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 Tantrasaṅgraha 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.

Caracteristici

Translation is accompanied by detailed explanations throughout including essential mathematical relations, illustrative examples & tables Details a number of innovations including the use of series for sine and cosine functions, as well as a systematic treatment of the problems related to the diurnal motion of the celestial objects An indispensable companion to the Ganita-Yukti-Bhasa by Sarma et al (2008)