000			03772nam a22004455i 4500
001			978-0-85729-036-6
003			DE-He213
005			20251006084442.0
007			cr nn 008mamaa
008			110615s2011 xxk| s |||| 0|eng d
020			_a9780857290366
020			_a99780857290366
024	7		_a10.1007/978-0-85729-036-6 _2doi
082	0	4	_a510.9 _223
100	1		_aRamasubramanian, K. _eauthor.
245	1	0	_aTantrasaṅgraha of Nīlakaṇṭha Somayājī _h[electronic resource] / _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 -- Vyatīpāta -- Reduction to observation -- Elevation of lunar horns -- Appendices.
520			_aTantrasaṅgraha, 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 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 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.
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	_uhttp://dx.doi.org/10.1007/978-0-85729-036-6 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59924 _d59924