Ganita-yukti-bhasa
Encyclopedia
Ganita-yukti-bhasa is either the title or a part of the title of three different books:
has been divided into two volumes, even though the original Malyalam 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
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
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, 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.
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.
- Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva, published by SpringerSpringer Science+Business Media- Selected publications :* Encyclopaedia of Mathematics* Ergebnisse der Mathematik und ihrer Grenzgebiete * Graduate Texts in Mathematics * Grothendieck's Séminaire de géométrie algébrique...
, is the first critical edition with an EnglishEnglish languageEnglish is a West Germanic language that arose in the Anglo-Saxon kingdoms of England and spread into what was to become south-east Scotland under the influence of the Anglian medieval kingdom of Northumbria...
translation of YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
, a seminal treatise in the Malayalam language composed in c.1530 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 TantrasamgrahaTantrasamgrahaTantrasamgraha is an important astronomical treatise written by Nilakantha Somayaji, an astronomer/mathematician belonging to the Kerala school of astronomy and mathematics....
of Nilakantha SomayajiNilakantha SomayajiKelallur Nilakantha Somayaji was a major mathematician and astronomer of the Kerala school of astronomy and mathematics. One of his most influential works was the comprehensive astronomical treatise Tantrasamgraha completed in 1501...
(1444–1544). (An edition of the mathematical portion of YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
with some explanatory notes in Malayalam had appeared in 1948.)
- In addition to Jyshthadeva's Yuktibhasa, Kerala school of astronomy and mathematics had produced another work called Ganita Yuktibhasa. In contrast to Jyeshthadeva's YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
, this work is in SanskritSanskritSanskrit , is a historical Indo-Aryan language and the primary liturgical language of Hinduism, Jainism and Buddhism.Buddhism: besides Pali, see Buddhist Hybrid Sanskrit Today, it is listed as one of the 22 scheduled languages of India and is an official language of the state of Uttarakhand...
. The date of composition and the name of the author of this work in SanskritSanskritSanskrit , is a historical Indo-Aryan language and the primary liturgical language of Hinduism, Jainism and Buddhism.Buddhism: besides Pali, see Buddhist Hybrid Sanskrit Today, it is listed as one of the 22 scheduled languages of India and is an official language of the state of Uttarakhand...
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 YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
.
- Ganita Yuktibhasa (Volume III) is the title of a book published by Indian Institute of Advanced StudyIndian Institute of Advanced StudyThe Indian Institute of Advanced Study is a prestigious research institute based in Shimla, India. It was set up by the Ministry of Education, Government of India in 1964 and it started functioning from October 20, 1965....
(IIAS), ShimlaShimlaShimla , formerly known as Simla, is the capital city of Himachal Pradesh. In 1864, Shimla was declared the summer capital of the British Raj in India. A popular tourist destination, Shimla is often referred to as the "Queen of Hills," a term coined by the British...
, and it is a critical edition of the SanskritSanskritSanskrit , is a historical Indo-Aryan language and the primary liturgical language of Hinduism, Jainism and Buddhism.Buddhism: besides Pali, see Buddhist Hybrid Sanskrit Today, it is listed as one of the 22 scheduled languages of India and is an official language of the state of Uttarakhand...
Ganita Yuktibhasa. This is intended as the third volume of a series on YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
, the first two volumes being Volume I and Volume II of Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyeshthadeva published by SpringerSpringer Science+Business Media- Selected publications :* Encyclopaedia of Mathematics* Ergebnisse der Mathematik und ihrer Grenzgebiete * Graduate Texts in Mathematics * Grothendieck's Séminaire de géométrie algébrique...
.
More on Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva
This edition of YuktibhasaYuktibhasa
Yuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
has been divided into two volumes, even though the original Malyalam 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
English language
English is a West Germanic language that arose in the Anglo-Saxon kingdoms of England and spread into what was to become south-east Scotland under the influence of the Anglian medieval kingdom of Northumbria...
translation of the relevant Malayalam part of Yuktibhasa
Yuktibhasa
Yuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
, second part contains detailed explanatory notes on the translation, and in the third part the text in the Malayalam original is reproduced. The English
English language
English is a West Germanic language that arose in the Anglo-Saxon kingdoms of England and spread into what was to become south-east Scotland under the influence of the Anglian medieval kingdom of Northumbria...
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, 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.
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.
Further reading
- For a review of Ganita-yukti-bhasa (Rationales in Mathematical Astronomy) of Jyesthadeva by Mathematical Association of AmericaMathematical Association of AmericaThe Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
see :
- For a discussion of the contents of the Malayalam YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
and also of the question of the authorship and date of the Malayalam YuktibhasaYuktibhasaYuktibhāṣā also known as Gaṇitanyāyasaṅgraha , is a major treatise on mathematics and astronomy, written by Indian astronomer Jyesthadeva of the Kerala school of mathematics in about AD 1530...
see :