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{{Use dmy dates|date=August 2019}}
{{Use Indian English|date=August 2019}}
'''Ganita-yukti-bhasa''' (also written as '''Ganita Yuktibhasa''') is either the title or a part of the title of three different books:

*'''Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva''',<ref>{{cite book|last=Sarma |first=K.V. |last2=Ramasubramanian |first2=K. |last3=Srinivas, M.D. |last4=Sriram |first4=M.S. |title=Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva|publisher=[[Springer Science+Business Media|Springer]] (Jointly with Hindustan Book Agency (HBA), New Delhi, India)|date=2008|series=Sources and Studies in the History of Mathematics and Physical Sciences|volume=I (Mathematics), II (Astronomy)|pages=LXVIII, 1084|isbn=978-1-84882-072-2|language=en, ml}}</ref> published by [[Springer Science+Business Media|Springer]],<ref>See publishers's ([[Springer Science+Business Media|Springer's]]) [[web page]] on the book: {{cite book|url=https://www.springer.com/mathematics/history+of+mathematics/book/978-1-84882-072-2|title=Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva|isbn=9781848820722|access-date=29 April 2010}}</ref> is the first critical edition with an [[English language|English]] translation of [[Yuktibhasa]], a seminal treatise in the [[Malayalam]] language composed in c.1530 [[BCE|CE]] by [[Jyeshthadeva]]. one of the most significant personalities of the [[Kerala school of astronomy and mathematics]]. The book is published in two volumes as Volume I and Volume II. Jyeshthadeva's Yuktibhasa discusses various topics in mathematics and astronomy and it is purported to be an enunciation of the rationales underlying the various mathematical assertions and the astronomical concepts and computations in the great treatise [[Tantrasamgraha]] of [[Nilakantha Somayaji]] (1444–1544). (An edition of the mathematical portion of [[Yuktibhasa]] with some explanatory notes in [[Malayalam]] had appeared in 1948.<ref>''Yuktibhâsâ, Part I'' (ed) with notes by Ramavarma (Maru) Thampuran and A. R. Akhileswara Aiyer, Magalodayam Ltd., [[Trichur]], [[Kerala]], 1123 [[Malayalam Era]], 1948 [[BCE|CE]].</ref>)
*In addition to Jyshthadeva's Yuktibhasa, [[Kerala school of astronomy and mathematics]] had produced another work called '''Ganita Yuktibhasa'''.<ref>{{cite journal|last=K.V. Sarma|author2=S. Hariharan|date=1991|title=Yuktibhasa of Jyesthadeva : A book of rationales in Indian mathematics and astronomy – An analytical appraisal|journal=Indian Journal of History of Science|volume=26|issue=2|pages=185–207|url=http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_1/20005ac0_185.pdf|access-date=2 May 2010|url-status=dead|archive-url=https://web.archive.org/web/20140912165846/http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_1/20005ac0_185.pdf|archive-date=12 September 2014}}</ref> In contrast to [[Jyeshthadeva]]'s [[Yuktibhasa]], this work is in [[Sanskrit]]. The date of composition and the name of the author of this work in [[Sanskrit]] have not been determined with certainty. The book appears to be of a later period and seems to have been composed as a somewhat rough Sanskrit translation of the Malayalam original [[Yuktibhasa]].
*'''Ganita Yuktibhasa (Volume III)'''<ref>{{cite book|last=K.V. Sarma|title=Ganita Yuktibhasa (Volume III)|publisher=[[Indian Institute of Advanced Study]]|location=[[Shimla]]|isbn=81-7986-052-3}}</ref> is the title of a book published by [[Indian Institute of Advanced Study]] (IIAS), [[Shimla]], and it is a critical edition of the [[Sanskrit]] Ganita Yuktibhasa.<ref>Publisher's ([[Indian Institute of Advanced Study]]) [[web page]] on the book:{{cite web|url=http://www.iias.org/p_ganita_yuktibhasa_volume-III.html|title=Ganita Yuktibhasa by K.V. Sarma|access-date=1 May 2010|archive-url=https://web.archive.org/web/20100317202603/http://www.iias.org/p_ganita_yuktibhasa_volume-III.html|archive-date=17 March 2010|url-status=dead|df=dmy-all}}</ref> This is intended as the third volume of a series on [[Yuktibhasa]], the first two volumes being Volume I and Volume II of ''Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of [[Jyeshthadeva]]'' published by [[Springer Science+Business Media|Springer]].

==More on ''Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva''==

This edition of [[Yuktibhasa]] has been divided into two volumes, even though the original [[Malayalam]] text has no such division. Volume I deals with mathematics and Volume II treats astronomy. Each volume is divided into three parts: First part is an [[English language|English]] translation of the relevant [[Malayalam]] part of [[Yuktibhasa]], second part contains detailed explanatory notes on the translation, and in the third part the text in the [[Malayalam]] original is reproduced. The [[English language|English]] translation is by [[K.V. Sarma]] and the explanatory notes are provided by Ramasubramanian, K., Srinivas, M.D. and Sriram, M.S..

Volume I dealing with mathematics is divided into seven chapters. The topics discussed are the eight mathematical operations, a certain set of ten problems, arithmetic of fractions, rule of three, [[Kuṭṭaka|Kuttakara]] (linear indeterminate equations), infinite series and approximations for the ratio of the circumference and diameter of a circle and infinite series and approximations for sines.<ref name="Kinokuniya DataBase">For more details on contents see Kinokuniya DataBase: {{cite web|url=http://bookwebpro.kinokuniya.co.jp/booksea.cgi?ISBN=1848820720http://www.buscalibros.cl/libro.php?libro=2104208|title=Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva|access-date=1 May 2010}}</ref>

Volume II dealing with astronomy is divided into eight chapters. The topics covered are computation of mean and true longitudes of planets, Earth and celestial spheres, fifteen problems relating to ascension, declination, longitude, etc., determination of time, place, direction, etc., from gnomonic shadow, eclipses, Vyatipata (when the sun and moon have the same declination), visibility correction for planets and phases of the moon.<ref name="Kinokuniya DataBase"/>

==References==

No

==Further reading==

*For a review of ''Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva'' by [[Mathematical Association of America]] see : {{cite web|url=http://www.maa.org/maa%20reviews/7302.html|title=Ganita-Yukti-Bhāsā (Rationales in Mathematical Astronomy) of Jyesthadeva|last=Homer S. White|date=2009-07-17|publisher=The Mathematical Association of America|access-date=1 May 2010}} {{Dead link|date=October 2010|bot=H3llBot}}
*For a discussion of the contents of the [[Malayalam]] [[Yuktibhasa]] and also of the question of the authorship and date of the [[Malayalam]] [[Yuktibhasa]] see : {{cite journal|last=K.V. Sarma|author2=S. Hariharan|date=1991|title=Yuktibhasa of Jyesthadeva : A book of rationales in Indian mathematics and astronomy – An analytical appraisal|journal=Indian Journal of History of Science|volume=26|issue=2|pages=185–207|url=http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_1/20005ac0_185.pdf|access-date=2 May 2010|url-status=dead|archive-url=https://web.archive.org/web/20140912165846/http://www.new.dli.ernet.in/rawdataupload/upload/insa/INSA_1/20005ac0_185.pdf|archive-date=12 September 2014}}

{{Scientific Research in Kerala |state=collapsed}}

[[Category:Hindu astronomy]]
[[Category:History of mathematics]]
[[Category:Kerala school of astronomy and mathematics]]

Ganita-yukti-bhasa - Revision history

>AnomieBOT at 07:52, 13 October 2021