Jyesthadeva biography of abraham

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This book is proof enough to establish that the concept of proof was not unknown to Indian mathematical traditions.

Jyeṣṭhadeva Wikipedia

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Jyesthadeva

Biography

Jyesthadeva lived on the southwest coast of India in the district of Kerala.

All the other notable works of the Kerala school are in verse.

  • Most importantly, Yuktibhāṣā was composed intentionally as a manual of proofs.

    Jyeṣṭhadeva

    There are a few references to Jyeṣṭhadeva scattered across several old manuscripts. 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.

    jyesthadeva biography of abraham



    Not only does the mathematics anticipate work by European mathematicians a century later, but the planetary theory presented by Jyesthadeva is similar to that adopted by Tycho Brahe.

    1. G G Joseph, The crest of the peacock(London, 1991).
    2. K V Sarma, A History of the Kerala School of Hindu Astronomy(Hoshiarpur, 1972).
    3. R C Gupta, Addition and subtraction theorems for the sine and the cosine in medieval India, Indian J.

      History Sci.9(2)(1974), 164-177.

    4. R C Gupta, The Madhava-Gregory series, Math.

      The Yuktibhasa is very important in terms of the mathematics Jyesthadeva presents.

      Jyesthadeva wrote a famous text Yuktibhasa which he wrote in Malayalam, the regional language of Kerala.

      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:

    5. It is composed in the spoken language of the local people, namely, the Malayalam language.

      Vatasseri Paramesvara was a direct disciple of Madhava. It is based on the epicyclic and eccentric models of planetary motion. 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.

      It is one of the main astronomical and mathematical texts produced by the Kerala school. To see how this description of the series fits with Gregory's series for arctan(x) see the biography of Madhava. All the terms are then divided by the odd numbers 1, 3, 5, .... The seventh chapter On visibility computation discusses the rising and setting of the moon and planets.

      In the concluding verse of his work titled Uparagakriyakrama, completed in 1592, Achyuta Pisharati has referred to Jyeṣṭhadeva as his aged benign teacher. In particular he presents results discovered by Madhava and the treatise is an important source of the remarkable mathematical theorems which Madhava discovered. Prométhée apportant le feu a …   Wikipédia en Français

    6. Doctrine scientifique — Science Pour les articles homonymes, voir Science (homonymie).

      Sci.26(2)(1991), 185-207.

    Additional Resources (show)

    Written by J J O'Connor and E F Robertson
    Last Update November 2000

    Jyesthadeva

  • Yuktibhasa — (Malayalam:യുക്തിഭാഷ ; meaning mdash; rationale language ) also known as Ganita Yuktibhasa (compendium of astronomical rationale), is a major treatise on Mathematics and Astronomy, written by Indian astronomer Jyesthadeva of the Kerala School of… …   Wikipedia

  • Mādhava of Sañgamāgrama — Madhava Born c.1350 Died c.1425 Residence Sangamagrama (Irinjalakuda (?) in Kerala) Nationality Indian Ethnicity …   Wikipedia

  • Madhava of Sangamagrama — Infobox Person name=Mādhava of Sangamagrama caption= dead=dead birth date=1350 birth place= Kerala, India death date=1425 death place=Mādhava of Sangamagrama (born as Irinjaatappilly Madhavan Namboodiri) (c.1350 ndash;c.1425) was a prominent… …   Wikipedia

  • Yuktibhasa — (en Malayalam : യുക്തിഭാഷ) ou Ganita Yuktibhasa est un traité de mathématiques et d astronomie, écrit par l astronome indien Jyeṣṭhadeva (en)[1], membre de l école d astronomie et de mathématiques du Kerala  …   Wikipédia en Français

  • Indian mathematics — mdash;which here is the mathematics that emerged in South Asia from ancient times until the end of the 18th century mdash;had its beginnings in the Bronze Age Indus Valley civilization (2600 1900 BCE) and the Iron Age Vedic culture (1500 500 BCE) …   Wikipedia

  • Kerala school of astronomy and mathematics — The Kerala school of astronomy and mathematics was a school of mathematics and astronomy founded by Madhava of Sangamagrama in Kerala, South India, which included among its members: Parameshvara, Neelakanta Somayaji, Jyeshtadeva, Achyuta… …   Wikipedia

  • Bénéfice de la science — Science Pour les articles homonymes, voir Science (homonymie).

    The work was based mainly on the Tantrasamgraha of Nilakantha.

    The fourth and fifth chapters are Treatise on the lunar eclipse and On the solar eclipse and these two chapters treat various aspects of the eclipses of the sun and the moon. Written in about 1550, Jyesthadeva's commentary contained proofs of the earlier results by Madhava and Nilakantha which these earlier authors did not give.

    In [4] Gupta gives a translation of the text and this is also given in [2] and a number of other sources. Education7(1973), B67-B70.

  • S Parameswaran, Madhavan, the father of analysis, Ganita-Bharati18(1-4)(1996), 67-70.
  • K V Sarma, and S Hariharan, Yuktibhasa of Jyesthadeva : a book of rationales in Indian mathematics and astronomy - an analytical appraisal, Indian J.

    Hist.