ANCIENT INDIAN ASTRONOMY AND ASTRONOMERS:

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BRAHMAGUPTA:
          HE WAS BORN AT BHINMAL,GUJARAT,IN 598 A.D.HE BECAME COURT ASTRONOMER TO KING VYAGHRAMUKHA OF CHAPA DYNASTY.  

          HE WAS ONE OF THE GREAT INDIAN MATHEMATICIANS, WHO FRAMED THE RULES OF OPERATION FOR ZERO.

          HE GAVE A SOLUTION TO INDETERMINATE EQUATIONS OF THE TYPE ax^2+1=y^2 AND WAS THE FOUNDER OF BRANCH OF HIGHER MATHEMATICS CALLED NUMERICAL ANALYSIS.

YOUNG  BRAHMAGUPTA

BRAHMAGUPTA THEOREM

           BHASKARA, ANOTHER GREAT MATHEMATICIAN OF INDIA,GAVE HIM THE TITLE GANAKACHAKRACHUDAMANI( THE GEM OF CIRCLE OF MATHEMATICS).

           HIS TWO TREATISES ('AARAICHI KATTURAIGAL' IN TAMIL) WERE (1) BRAHMASPHUTASIDDHANTA AND (2) KARANAKHANDAKHADYAKA  .

            HE SAID ADDITION OR SUBTRACTION OF ZERO,NEGATIVE OR POSITIVE DOES NOT AFFECT ZERO.PRODUCT OF ANY QUANITY BY ZERO IS ZERO,BUT DIVISION OF ANY QUANTITY BY ZERO IS INFINITY.

            HE ALSO FRAMED THE RULES TO SOLVE A SIMPLE EQUATION OF THE TYPE ax+b=0 AND A QUADRATIC EQUATION OF THE TYPE ax^2+bx+c=0  AS WELL AS TO SUM UP THE GEOMETRIC SERIES.

             HE WAS THE FIRST MATHEMATICIAN TO DIFFERENTIATE BETWEEN ALGEBRA AND ARITHMETIC AS TWO SEPARATE BRANCHES OF MATHEMATICS IN HIS 1ST TREATISE.

             IN HIS 2ND TREATISE HE HAD EFFECTIVELY USED ALGEBRA FOR ASTRONOMICAL CALCULATIONS.

             HE BELIEVED THAT EARTH WAS ROUND.

             HE SAID ABOUT GRAVITY:BODIES FALL TOWARDS THE EARTH.