|నివాసం||అలట్టూర్, తిరూర్ వద్ద, కేరళ|
|వృత్తి||ఖగోళ శాస్త్రవేత్త - గణిత శాస్త్రవేత్త|
|ప్రసిద్ధులు||యుక్తిభాస గ్రంథ రచయిత.|
జ్యేష్టదేవుడు (మలయాళం: ജ്യേഷ്ഠദേവന്) (c. 1500 – c. 1610)  సంగమగ్రామ మాధవ (c.1350 – c.1425) స్థాపించిన "కేరళ గణిత మరియు ఖగోళ శాస్త్ర పాఠశాల"లో ఖగోళ మరియు గణిత శాస్త్రవేత్త. ఈయన ఉత్తమ గ్రంథం అయిన యుక్తిభాస యొక్క రచయిత. ఈ గ్రంథం నీలకంఠ సోమయాజి (1444-1544) రచించిన "తరణ సంగ్రహం"యొక్క మలయాళంలో ఒక వ్యాఖ్యానం. ఆ సమయంలో సంప్రదాయ భారతీయ గణిత శాస్త్రజ్ఞులుకు ఒక అసాధారణమైన గ్రంథం. గణిత శాస్త్రంలో యుక్తిభాస పై విషయ విశ్లేషణను కొంతమంది పరిశోధకులు "కలన గణితం యొక్క మొదటి పాఠ్యపుస్తకం"గా ప్రోత్సహించారు. జ్యేష్టదేవుడు ఖగోళ శాస్త్ర పరిశీలనా గ్రంథం Drk-karanaను రచించాడు.
జ్యేష్టదేవ యొక్క జీవిత కాలం[మార్చు]
There are a few references to Jyeṣṭhadeva scattered across several old manuscripts. From these manuscripts, one can deduce a few bare facts about the life of Jyeṣṭhadeva. He was a Namputiri 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.
Little is known about the mathematical traditions in Kerala prior to Sangamagrama Madhava. 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.
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.
యివి కూడా చూడండి[మార్చు]
- 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. Retrieved 28 January 2010.
- 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.
- J J O'Connor and E F Robertson (November 2000). "Jyesthadeva". School of Mathematics and Statistics University of St Andrews, Scotland. Retrieved 28 January 2010.
- Details on the English translation of Yuktibhāṣā by K. V. Sarma: Sarma, K.V., Ramasubramanian, K., Srinivas, M.D., Sriram, M.S. (2008). Ganita-Yukti-Bhasa (Rationales in Mathematical Astronomy) of Jyeṣṭhadeva: Volume I: Mathematics, Volume II: Astronomy. Sources and Studies in the History of Mathematics and Physical Sciences. Springer jointly with Hindustan Book Agency, New Delhi, India. ISBN 978-1-84882-072-2. (This is a critical translation of the original Malayalam text by K.V. Sarma with explanatory notes by K. Ramasubramanian, M.D. Srinivas and M.S. Sriram.)
- For a review of the English translation of Yuktibhāṣā : Homer S. White (2009-07-17). "Ganita-Yukti-Bhāsā (Rationales in Mathematical Astronomy) of Jyesthadeva". MAA Reviews. The Mathematical Association of America. Retrieved 30 January 2010.[dead link]
- R.C. Gupta (1973). "Addition and subtraction theorems for the sine and the cosine functions in medieval india" (PDF). Indian Journal of History of Science. 9 (2): 164–177.
- K. V. Sarma (1972). A history of the Kerala school of Hindu astronomy (in perspective). Vishveshvaranand Indological series. 55. Vishveshvaranand Institute of Sanskrit & Indological Studies, Hoshiarpur, Panjab University.
- K.V. Sarma. "Tradition of Aryabhatiya in Kerala : Revision of planetary parameters" (PDF). Indian Journal of History of Science. 12 (2): 194–199. Retrieved 30 January 2010.
- George Gheverghese Joseph (2000). The Crest of the Peacock: The Non-European Roots of Mathematics. Princeton University Press. p. 416. ISBN 978-0-691-00659-8.
- Plofker, Kim (2009). "7 The school of Madhava in Kerala". Mathematics in India. Princeton University Press. pp. 219–254.
- For a modern explanation of Jyeṣṭhadeva's proof of the power series expansion of the arctangent function: Victor J. Katz. "12". A history of mathematics : An introduction (3 ed.). 2009: Addison Wesley. pp. 450–455. ISBN 978-0-321-38700-4. Archived from the original on 2009-03-06.