Jyeṣṭhadeva

Jyeṣṭhadeva (Malayalam: ജ്യേഷ്ഠദേവൻ) (c. 1500 – c. 1575)[1][2] was an astronomer-mathematician of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama (c. 1350 – c. 1425). He is best known as the author of Yuktibhāṣā, a commentary in Malayalam of Tantrasamgraha by Nilakantha Somayaji (1444–1544). In Yuktibhāṣā, Jyeṣṭhadeva had given complete proofs and rationale of the statements in Tantrasamgraha. This was unusual for traditional Indian mathematicians of the time. The Yuktibhāṣā is now believed to contain the essential elements of the calculus. [3][4] Jyeṣṭhadeva also authored Drk-karana a treatise on astronomical observations.[5]

Jyeṣṭhadeva
Bornc. 1500 CE
Diedc. 1575 CE
NationalityIndian
OccupationAstronomer-mathematician
Known forAuthorship of Yuktibhāṣā
Notable work
Yuktibhāṣā, Drkkarana
RelativesParangngottu (Sanskritised as Parakroda) family
Notes
Pupil of Damodara, contemporary of Nilakantha Somayaji, teacher of Achyuta Pisharati

Life period of Jyeṣṭhadeva

There are a few references to Jyeṣṭhadeva scattered across several old manuscripts.[1] From these manuscripts, one can deduce a few bare facts about the life of Jyeṣṭhadeva. He was a Nambudiri belonging to the Parangngottu family (Sanskrtised as Parakroda) born about the year 1500 CE. He was a pupil of Damodara and a younger contemporary of Nilakantha Somayaji. Achyuta Pisharati was a pupil of Jyeṣṭhadeva. In the concluding verse of his work titled Uparagakriyakrama, completed in 1592, Achyuta Pisharati has referred to Jyeṣṭhadeva as his aged benign teacher. From a few references in Drkkarana, a work believed to be of Jyeṣṭhadeva, one may conclude that Jyeṣṭhadeva lived up to about 1610 CE.

Parangngottu, the family house of Jyeṣṭhadeva, still exists in the vicinity of Trikkandiyur and Alathiyur.[1] There are also several legends connected with members of Parangngottu family.

Mathematical lineage

Little is known about the mathematical traditions in Kerala prior to Madhava of Sangamagrama. Vatasseri Paramesvara was a direct disciple of Madhava. Damodara was a son of Paramesvara. Nilakantha Somayaji and Jyeshthadeva were pupils of Damodara. Jyeṣṭhadeva's pupil was Achyuta Pisharati and Melpathur Narayana Bhattathiri was Achyuta Pisharati's student.

Jyeshthadeva's works
Main articles: Yuktibhāṣā and Ganita-yukti-bhasa

Jyeṣṭhadeva is known to have composed only two works, namely, Yuktibhāṣā and Drkkarana. The former is commentary with rationales of Tantrasamgraha of Nilakantha Somayaji and the latter is a treatise on astronomical computations.

Three factors make Yuktibhāṣā unique in the history of the development of mathematical thinking in the Indian subcontinent:

  • It is composed in the spoken language of the local people, namely, the Malayalam language. This is in contrast to the centuries-old Indian tradition of composing scholarly works in the Sanskrit language which was the language of the learned.
  • The work is in prose, again in contrast to the prevailing style of writing even technical manuals in verse. All the other notable works of the Kerala school are in verse.
  • Most importantly, Yuktibhāṣā was composed intentionally as a manual of proofs. The very purpose of writing the book was to record in full detail the rationales of the various results discovered by mathematicians-astronomers of the Kerala school, especially of Nilakantha Somayaji. This book is proof enough to establish that the concept of proof was not unknown to Indian mathematical traditions.
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See also

References
  1. K.V. Sarma (1991). "Yuktibhāṣā of Jyeṣṭhadeva: A book of rationales in Indin mathematics and astronomy – an analytical appraisal" (PDF). Indian Journal of History of Science. 26 (2): 185–207. Archived from the original (PDF) on 12 September 2014. Retrieved 28 January 2010.
  2. http://www-history.mcs.st-andrews.ac.uk/Biographies/Jyesthadeva.html
  3. C. K. Raju (2001). "Computers, mathematics education, and the alternative epistemology of the calculus in the Yuktibhāṣā" (PDF). Philosophy East & West. 51 (3): 325–362. doi:10.1353/pew.2001.0045. Retrieved 11 February 2020.
  4. P.P. Divakaran, P. P. (December 2007). "The First Textbook of Calculus: Yuktibhāṣā". Journal of Indian Philosophy. Springer Netherlands. 35 (5–6): 417–443. doi:10.1007/s10781-007-9029-1. ISSN 0022-1791.
  5. J J O'Connor; E F Robertson (November 2000). "Jyesthadeva". School of Mathematics and Statistics University of St Andrews, Scotland. Retrieved 28 January 2010.

Further references
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