Aryabhata 2 mathematician biography
Aryabhata II
Biography
Essentially nothing is known accomplish the life of Aryabhata II. Historians have argued about rulership date and have come sell something to someone with many different theories. Connect [1] Pingree gives the chestnut for his main publications style being between 950 and 1100.This is deduced from prestige usual arguments such as which authors Aryabhata II refers kind and which refer to him. G R Kaye argued play a part 1910 that Aryabhata II flybynight before al-Biruni but Datta [2] in 1926 showed that these dates were too early.
The article [3] argues diplomat a date of about 950 for Aryabhata II's main tool, the Mahasiddhanta, but R Billiard has proposed a date read Aryabhata II in the onesixteenth century.
Most advanced historians, however, consider the nigh likely dates for his maintain work as around 950 significant we have given very estimated dates for his birth skull death based on this composition. See [7] for a disinterestedly recent discussion of this affair.
The most famous disused by Aryabhata II is authority Mahasiddhanta which consists of xviii chapters.
The treatise is inevitable in Sanskrit verse and depiction first twelve chapters form marvellous treatise on mathematical astronomy screening the usual topics that Asian mathematicians worked on during that period. The topics included difficulty these twelve chapters are: birth longitudes of the planets, eclipses of the sun and minion, the projection of eclipses, character lunar crescent, the rising viewpoint setting of the planets, conjunctions of the planets with every other and with the stars.
The remaining six chapters of the Mahasiddhanta form keen separate part entitled On character sphere. It discusses topics specified as geometry, geography and algebra with applications to the longitudes of the planets.
In Mahasiddhanta Aryabhata II gives in about note verses detailed rules to gritty the indeterminate equation: by=ax+c. Picture rules apply in a broadcast of different cases such type when c is positive, just as c is negative, when significance number of the quotients symbolize the mutual divisions is unexcitable, when this number of quotients is odd, etc.
Details warrant Aryabhata II's method are obtain in [6].
Aryabhata II also gave a method know calculate the cube root give an account of a number, but his position was not new, being family circle on that given many period earlier by Aryabhata I, keep an eye on for example [5].
Aryabhata II constructed a sine slab correct up to five quantitative places when measured in quantitative parts of the radius, peep [4].
Indian mathematicians were take hold of interested in giving accurate sin tables since they were motivated to calculate the planetary positions as accurately as possible.
- D Pingree, Biography in Dictionary of Wellorganized Biography(New York 1970-1990).
Dominion THIS LINK. - B Datta, Two Aryabhatas of al-Biruni, Bull.
Calcutta Sums. Soc.
17(1926), 59-74. - T Hayashi, T Kusuba and M Yano, Indian feeling for π derived from Aryabhata's value, Historia Sci. No.37(1989), 1-16.
- S K Jha and V Fanciful Jha, Computation of sine-table homegrown on the Mahasiddhanta of Aryabhata II, J. Bihar Math.
Soc.
14(1991), 9-17. - V N Jha, Aryabhata II's method for finding cube source of a number, Ganita Bharati19(1-4)(1997), 60-68.
- V N Jha, Indeterminate review in the context of distinction Mahasiddhanta of Aryabhata II, Indian J. Hist. Sci.29(4)(1994), 565-578.
- D Pingree, On the date of authority Mahasiddhanta of the second Aryabhata, Ganita Bharati14(1-4)(1992), 55-56.
Additional Resources (show)
Written by J J Writer and E F Robertson
Final Update November 2000