Tantrasa?graha of Nilaka??ha Somayaji [recurso electrónico] / by K. Ramasubramanian, M.S. Sriram.

Por: Ramasubramanian, K [author.]Colaborador(es): Sriram, M.S [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Sources and Studies in the History of Mathematics and Physical SciencesEditor: London : Springer London, 2011Edición: 1Descripción: XXX, 598 p. 173 illus., 167 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9780857290366Tema(s): Mathematics | Mathematics | History of Mathematical Sciences | Astronomy, Observations and TechniquesFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 510.9 Clasificación LoC:QA21-27Recursos en línea: Libro electrónicoTexto
Contenidos:
Mean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatipata -- Reduction to observation -- Elevation of lunar horns -- Appendices.
En: Springer eBooksResumen: Tantrasa?graha, composed by the renowned Kerala astronomer Nilaka?tha Somayaji (c. 1444–1545 CE) ranks along with Aryabhatiya of Aryabhata and Siddhantasiromani of Bhaskaracarya 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 Tantrasa?graha, 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 problems such 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 Tantrasa?graha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatipata, 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 Tantrasa?graha 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.
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Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA21 -27 (Browse shelf(Abre debajo)) 1 No para préstamo 370464-2001

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

Tantrasa?graha, composed by the renowned Kerala astronomer Nilaka?tha Somayaji (c. 1444–1545 CE) ranks along with Aryabhatiya of Aryabhata and Siddhantasiromani of Bhaskaracarya 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 Tantrasa?graha, 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 problems such 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 Tantrasa?graha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatipata, 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 Tantrasa?graha 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.

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