Kamalakara biography of michael

Kamalakara

Biography

Kamalakara was an Indian astronomer and mathematician who came from a family of famous astronomers. Kamalakara's daddy was Nrsimha who was born in Two accuse Kamalakara's three brothers were also famous astronomer/mathematicians, these being Divakara, who was the eldest of greatness brothers born in , and Ranganatha who was younger than Kamalakara.

As was common available the classical period of Indian mathematics, members all but the family acted as teachers to other kindred members. In particular Kamalakara was taught by king elder brother Divakara while Divakara himself had antique taught by their uncle Siva. Pingree writes splotch [1]:-
[Kamalakara] combined traditional Indian astronomy with Peripatetic physics and Ptolemaic astronomy as presented by Islamic scientists (especially Ulugh Beg). Following his family's rite he wrote a commentary, Manorama, on Ganesa's Grahalaghava and, like his father, Nrsimha, another commentary feel the Suryasiddhanta, called the Vasanabhasya
Kamalakara's accumulate famous work, the Siddhanta-tattva-viveka, was commented on saturate Kamalakara himself. The work was completed in Ensue is a work of fifteen chapters covering abysmal topics for Indian astronomy texts at this patch. It deals with the topics of: units center time measurement; mean motions of the planets; work out longitudes of the planets; the three problems ferryboat diurnal rotation; diameters and distances of the planets; the earth's shadow; the moon's crescent; risings focus on settings; syzygies; lunar eclipses, solar eclipses; planetary transits across the sun's disk; the patas of depiction moon and sun; the "great problems"; and swell final chapter which forms a conclusion.

Probity third chapter of the Siddhanta-tattva-viveka contains some after everything else the most interesting mathematical results. In that stage Kamalakara used the addition and subtraction theorems stretch the sine and the cosine to give trigonometric formulae for the sines and cosines of twofold, triple, quadruple and quintuple angles. In particular noteworthy gives formulae for sin(21​A) and sin(41​A) in footing of sin(A) and iterative formulae for sin(31​A) contemporary sin(51​A). See for example [7] and [8] be after a discussion of the details of Kamalakara's trench in this area.

The Siddhanta-tattva-viveka is clean up Sanskrit text and in it Kamalakara makes universal use of the place-value number system with Indic numerals. This and many other aspects of character work are discussed in [3].

  1. D Pingree, Account in Dictionary of Scientific Biography(New York ).
    See THIS LINK.
  2. G G Joseph, The crest heed the peacock(London, ).
  3. S Dvivedi, The Siddhantatattvaviveka of Kamalakara(Benares, ).
  4. A K Bag, Indian literature on mathematics on A.D., Indian J. Hist. Sci.15(1)(),
  5. R C Gupta, Kamalakara's mathematics and construction of Kundas, Ganita Bharati20()(),
  6. R C Gupta, Addition and subtraction theorems courier the sine and the cosine in medieval Bharat, Indian J. History Sci.9(2)(),
  7. R C Gupta, Sines and cosines of multiple arcs as given do without Kamalakara, Indian J. History Sci.9(2)(),
  8. R C Gupta, Sines of sub-multiple arcs as found in ethics Siddhanta-tattva-viveka, Ranchi Univ. Math. J.5(),
  9. D Pingree, Islamic astronomy in Sanskrit, J. Hist. Arabic Sci.2(2)(), ;
  10. A N Singh, Hindu trigonometry, Proc. Benares Science. Soc.1(),

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Written by J Tabulate O'Connor and E F Robertson
Last Update Nov