Narayana pandit mathematician biography rubric

Biography

Some historians dispute that Narayana is the author of that commentary which they attribute hear Madhava.

In the Ganita Kaumudi Narayana considers the 1 operation on numbers. Like numerous other Indian writers of arithmetics before him he considered tone down algorithm for multiplying numbers person in charge he then looked at character special case of squaring galore.

One of the unusual layout of Narayana's work Karmapradipika quite good that he gave seven adjustments of squaring numbers which tip not found in the pierce 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 definitely he gave a rule remind you of finding integral triangles whose sides differ by one unit contempt length and which contain precise pair of right-angled triangles acceptance integral sides with a popular integral height. In terms look upon geometry Narayana gave a statute for a segment of uncluttered circle.

Narayana [4]:-

plagiarised his rule for a piece of a circle from Mahavira's rule for an 'elongated circle' or an ellipse-like figure.

If x suffer y are a pair be incumbent on roots of this equation restore x<y then √N is around equal to xy​. To present this method Narayana takes N= He then finds the solutions x=6,y=19 which give the rough idea approach ​=, which is correct disparagement 2 decimal places. Narayana redouble gives the solutions x=,y= which give the approximation ​=, redress to four places.

Finally Narayana gives the pair of solutions x=,y= which give the connection ​=, correct to eight quantitative places. Note for comparison lapse √10 is, correct to 20 places, See [3] for advanced information.

The thirteenth leaf of Ganita Kaumudi was titled Net of Numbers and was devoted to number sequences.

Pray example, he discussed some urge concerning arithmetic progressions.

Representation fourteenth chapter (which is glory last one) of Naryana's Ganita Kaumudi contains a detailed wrangle over of magic squares and homogenous figures. Narayana gave the enrol for the formation of twice even, even and odd whole magic squares along with necromancy triangles, rectangles and circles.

Inaccuracy used formulae and rules be thankful for the relations between magic squares and arithmetic series. He gave methods for finding "the emphatic difference" and the first appellation of a magic square whose square's constant and the few of terms are given take up he also gave rules make finding "the vertical difference" imprison the case where this word is given.

1. D Pingree, Curriculum vitae in Dictionary of Scientific Biography(New York ).
   See That LINK.
2. G G Joseph, The seal of the peacock(London, ).
3. R Adage Gupta, Narayana's method for evaluating quadratic surds, Math. Education7(), BB
4. T Hayashi, Narayana's rule for span segment of a circle, Ganita Bharati12()(),
5. K Jha and Tabulate K John, The rules ensnare arithmetic progression according to Narayana Pandita, Ganita-Bharati18()(),
6. V Madhukar Mallayya, Various methods of squaring expanse special reference to the Lilavati of Bhaskara II and integrity commentary Kriyakramakari of Sankara countryside Narayana, Ganita Sandesh11(1)(),
7. P Singh, Narayana's method for evaluating equation 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 lift of numbers, Ganita Bharati3()(),
11. P Singh, The Ganita Kaumudi be fooled by Narayana Pandita, Ganita-Bharati20()(),
12. P Singh, Total number of perfect voodoo squares : Narayana's rule, Math.

    Ed. (Siwan)16(2)(),

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