000 02828cam a22003137a 4500
999 _c9798
_d9798
001 8656
003 IN-BhIIT
005 20190914114520.0
008 080915s2008 nyua b 001 0 eng
020 _a9781848820722
040 _aIN-BhIIT
041 _aeng
082 0 4 _a520.954
_bJYE/G
100 0 _aJyesthadeva,
_eauthor
_99372
245 1 0 _aGanita-yukti-bhasa (rationales in mathematical astronomy) of Jyesthadeva (Vol.2)/
_ca critical translation of the original Malayalam text by K.V. Sarma ; with explanatory notes by K. Ramasubramanian, M.D. Srinivas, M.S. Sriram.
260 _a[New York] :
_bSpringer ;
_aNew Delhi :
_bHindustan Book Agency,
_cc2008.
300 _a2 v. (liv, 1084 p.) :
_bill. ;
_c25 cm.
490 1 _aSources and studies in the history of mathematics and physical sciences
504 _aIncludes bibliographical references and indexes.
520 _aGanita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva (c.1530) is a seminal text of the Kerala school of astronomy. It is composed in the Malayalam language and presents detailed yuktis or explanations and demonstrations for the results and processes of mathematical astronomy. The text, comprising fifteen chapters, is naturally divided into two parts, mathematics and astronomy, and purports to give an exposition of the techniques and theories employed in the computation of planetary motions as set forth in the great treatise Tantrasangraha (c.1500) of Nilakantha Somayaji. The mathematics part is divided into seven chapters. The topics covered are Parikarma (logistics), Dasaprasna (ten problems), Bhinnaganita (fractions), Trairasika (rule of three), Kuttakara (linear indeterminate equations), Paridhi and Vyasa (infinite series and approximations for the ratio of the circumference and diameter of a circle) and Jyanayana (infinite series and approximations for sines). The astronomy part is divided into eight chapters. The topics covered are Grahagati (computation of mean and true longitudes of planets), Bhugola and Bhagola (Earth and celestial spheres), Pancadasa-prasna (fifteen problems relating to ascension, declination, longitude, etc.), Chaya-ganita (determination of time, place, direction, etc., from gnomonic shadow), Grahana (eclipses), Vyatipata (when the sun and moon have the same declination), Darsana-samskara (visibility correction for planets) and Candra-srngonnati (phases of the moon).--From publisher description
650 0 _aHindu astronomy
_vEarly works to 1800.
_99355
650 0 _aAstronomy
_xMathematics
_vEarly works to 1800.
_99356
650 0 _aHindu mathematics.
_99357
700 1 _aSarma, K. V.
_etranslator
_99373
700 1 _aRamasubramanian, K.
_etranslator
_99374
700 1 _aSrinivas, M. D.
_etranslator
_99375
700 1 _aSriram, M. S.
_etranslator
_99376
942 _cTRB