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020 _a9780857290366
_9978-0-85729-036-6
040 _cMX-MeUAM
050 4 _aQA21-27
082 0 4 _a510.9
_223
100 1 _aRamasubramanian, K.
_eauthor.
245 1 0 _aTantrasa?graha of Nilaka??ha Somayaji
_h[recurso electrónico] /
_cby K. Ramasubramanian, M.S. Sriram.
250 _a1.
264 1 _aLondon :
_bSpringer London,
_c2011.
300 _aXXX, 598 p. 173 illus., 167 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSources and Studies in the History of Mathematics and Physical Sciences
505 0 _aMean longitudes of planets -- True longitudes of planets -- Gnomonic shadow -- Lunar eclipse -- Solar eclipse -- Vyatipata -- Reduction to observation -- Elevation of lunar horns -- Appendices.
520 _aTantrasa?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.
650 0 _aMathematics.
650 1 4 _aMathematics.
650 2 4 _aHistory of Mathematical Sciences.
650 2 4 _aAstronomy, Observations and Techniques.
700 1 _aSriram, M.S.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780857290359
830 0 _aSources and Studies in the History of Mathematics and Physical Sciences
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-85729-036-6
596 _a19
942 _cLIBRO_ELEC
999 _c198344
_d198344