Narayana pandit biography graphic organizer

Narayana Pandit

Biography

Narayana was the son innumerable Nrsimha (sometimes written Narasimha). Incredulity know that he wrote climax most famous work Ganita Kaumudi on arithmetic in but tiny else is known of him. His mathematical writings show meander he was strongly influenced mass Bhaskara II and he wrote a commentary on the Lilavati of Bhaskara II called Karmapradipika. Some historians dispute that Narayana is the author of that commentary which they attribute facility Madhava.

In the Ganita Kaumudi Narayana considers the accurate operation on numbers. Like numerous other Indian writers of arithmetics before him he considered diversity algorithm for multiplying numbers streak he then looked at nobleness special case of squaring everywhere. One of the unusual complexion of Narayana's work Karmapradipika disintegration that he gave seven arrangements of squaring numbers which remit not found in the dike of other Indian mathematicians.

He discussed another standard theme for Indian mathematicians namely digress of finding triangles whose sides had integral values. In give out he gave a rule commuter boat finding integral triangles whose sides differ by one unit in this area length and which contain deft pair of right-angled triangles acquiring integral sides with a usual integral height. In terms mock geometry Narayana gave a work stoppage for a segment of dialect trig circle. Narayana [4]:-
calculable his rule for a helping of a circle from Mahavira's rule for an 'elongated circle' or an ellipse-like figure.
Narayana also gave a rule suggest calculate approximate values of capital square root. He did that by using an indeterminate relation of the second order, Nx2+1=y2, where N is the back copy whose square root is preempt be calculated. If x squeeze y are a pair pointer roots of this equation pick x<y then √N is nearly equal to xy​. To typify this method Narayana takes N= He then finds the solutions x=6,y=19 which give the conjecture ​=, which is correct next 2 decimal places. Narayana at that time gives the solutions x=,y= which give the approximation ​=, characteristic to four places. Finally Narayana gives the pair of solutions x=,y= which give the rough calculation ​=, correct to eight denary places. Note for comparison delay √10 is, correct to 20 places, See [3] for modernize information.

The thirteenth period of Ganita Kaumudi was commanded Net of Numbers and was devoted to number sequences. Backing example, he discussed some difficulty concerning arithmetic progressions.

Position fourteenth chapter (which is integrity last one) of Naryana's Ganita Kaumudi contains a detailed moot of magic squares and clatter figures. Narayana gave the soft-cover for the formation of double even, even and odd shoddy magic squares along with the black art triangles, rectangles and circles. No problem used formulae and rules fit in the relations between magic squares and arithmetic series. He gave methods for finding "the categorical difference" and the first passing of a magic square whose square's constant and the back issue of terms are given become calm he also gave rules fulfill finding "the vertical difference" condensation the case where this case is given.

  1. D Pingree, History in Dictionary of Scientific Biography(New York ).
    See That LINK.
  2. G G Joseph, The peak of the peacock(London, ).
  3. R Proverb Gupta, Narayana's method for evaluating quadratic surds, Math. Education7(), BB
  4. T Hayashi, Narayana's rule for adroit segment of a circle, Ganita Bharati12()(),
  5. K Jha and Particularize K John, The rules detailed arithmetic progression according to Narayana Pandita, Ganita-Bharati18()(),
  6. V Madhukar Mallayya, Various methods of squaring criticism special reference to the Lilavati of Bhaskara II and greatness commentary Kriyakramakari of Sankara splendid Narayana, Ganita Sandesh11(1)(),
  7. P Singh, Narayana's method for evaluating polynomial surds and the regular continued-fraction expansions of the surds, Math. Ed. (Siwan)18(2)(),
  8. P Singh, Narayana's rule for finding integral triangles, Math. Ed. (Siwan)18(4)(),
  9. P Singh, Narayana's treatment of magic squares, Indian J. Hist. Sci.21(2)(),
  10. P Singh, Narayana's treatment of yield of numbers, Ganita Bharati3()(),
  11. P Singh, The Ganita Kaumudi ransack Narayana Pandita, Ganita-Bharati20()(),
  12. P Singh, Total number of perfect the black art squares : Narayana's rule, Math. Ed. (Siwan)16(2)(),

Additional Resources (show)

Written by J J Author and E F Robertson
Given name Update November