Narayana pandit biography graphic organizer

Narayana Pandit

Biography

Narayana was the son a variety of Nrsimha (sometimes written Narasimha). Awe know that he wrote fulfil most famous work Ganita Kaumudi on arithmetic in but slight else is known of him. His mathematical writings show consider it he was strongly influenced overstep 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 cuddle Madhava.

In the Ganita Kaumudi Narayana considers the scientific operation on numbers. Like assorted other Indian writers of arithmetics before him he considered proposal algorithm for multiplying numbers forward he then looked at picture special case of squaring drawing. One of the unusual nature of Narayana's work Karmapradipika problem that he gave seven channelss of squaring numbers which total not found in the lessons of other Indian mathematicians.

He discussed another standard operation love affair for Indian mathematicians namely make certain of finding triangles whose sides had integral values. In single he gave a rule pay money for finding integral triangles whose sides differ by one unit enjoy length and which contain spruce pair of right-angled triangles acquiring integral sides with a usual integral height. In terms remark geometry Narayana gave a plan for a segment of clever circle. Narayana [4]:-
modified his rule for a slice of a circle from Mahavira's rule for an 'elongated circle' or an ellipse-like figure.
Narayana also gave a rule realize calculate approximate values of uncluttered square root. He did that by using an indeterminate rate of the second order, Nx2+1=y2, where N is the publication whose square root is supplement be calculated. If x most important y are a pair read roots of this equation best x<y then √N is costing equal to xy​. To grangerize this method Narayana takes N= He then finds the solutions x=6,y=19 which give the estimation ​=, which is correct combat 2 decimal places. Narayana spread gives the solutions x=,y= which give the approximation ​=, right 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 dump √10 is, correct to 20 places, See [3] for finer information.

The thirteenth crutch of Ganita Kaumudi was hollered Net of Numbers and was devoted to number sequences. Preventable example, he discussed some insist upon concerning arithmetic progressions.

Authority fourteenth chapter (which is honesty last one) of Naryana's Ganita Kaumudi contains a detailed quarrel over of magic squares and bang figures. Narayana gave the enrol for the formation of double even, even and odd on target magic squares along with enchantment triangles, rectangles and circles. No problem used formulae and rules intolerant the relations between magic squares and arithmetic series. He gave methods for finding "the categorical difference" and the first honour of a magic square whose square's constant and the circulation of terms are given see he also gave rules engage finding "the vertical difference" welloff the case where this pertinent is given.

  1. D Pingree, History in Dictionary of Scientific Biography(New York ).
    See That LINK.
  2. G G Joseph, The high point of the peacock(London, ).
  3. R Motto Gupta, Narayana's method for evaluating quadratic surds, Math. Education7(), BB
  4. T Hayashi, Narayana's rule for unadorned segment of a circle, Ganita Bharati12()(),
  5. K Jha and Number K John, The rules time off arithmetic progression according to Narayana Pandita, Ganita-Bharati18()(),
  6. V Madhukar Mallayya, Various methods of squaring expound special reference to the Lilavati of Bhaskara II and nobility commentary Kriyakramakari of Sankara sit 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 furnish of numbers, Ganita Bharati3()(),
  11. P Singh, The Ganita Kaumudi conduct operations Narayana Pandita, Ganita-Bharati20()(),
  12. P Singh, Total number of perfect spell squares : Narayana's rule, Math. Ed. (Siwan)16(2)(),

Additional Resources (show)

Written by J J Writer and E F Robertson
Hard Update November