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Autor Ramasubramanian, K. author.

Título Tantrasangraha of Nīlakantha Somayājī [electronic resource] / by K. Ramasubramanian, M.S. Sriram.

Publicación London : Springer London, 2011.
Edición 1.
Descripción física XXX, 598 p. 173 illus., 167 illus. in color. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Sources and Studies in the History of Mathematics and Physical Sciences
Springer eBooks. Mathematics and Statistics
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Sources and Studies in the History of Mathematics and Physical Sciences
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Contiene: Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatīpāta -- Reduction to observation -- Elevation of lunar horns -- Appendices.
Resumen: Tantrasà£粡ha, composed by the renowned Kerala astronomer Nīlakà£䨡 Somayaji (c. 1444́㱵45 CE) ranks along with Āryabhatīya of Āryabhata and Siddhānta¿鲯mani 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 Tantrasà£粡ha, 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 text́䡰plied to a variety of problems such as the computation eclipses, elevation of the mooń鳠cusps and so forth́䡲e also exact. In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasà£粡ha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapterś䭥an londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatīpāta, reduction to observation and elevation of the mooń鳠cuspś䡮d 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 Tantrasà£粡ha 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.
Materia Mathematics.
History.
Observations, Astronomical.
Astronomy -- Observations.
Mathematics.
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History of Mathematical Sciences.
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Astronomy, Observations and Techniques.
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Autor secundario Sriram, M.S., author.
SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9780857290359
ISBN 9780857290366 978-0-85729-036-6
ISBN/ISSN 10.1007/978-0-85729-036-6 doi