12 February, 2012

zero



Aryabhatta (origin of zero):-


Aryabhatta (476-550 A.D.), one of the world’s greatest mathematician-astronomer .


 It contains mathematical and astronomical hypothesis that have been discovered to be quite accurate in contemporary mathematics. For example, he wrote that if 4 is added to 100 and then multiplied by 8 then added to 62,000 then divided by 20,000 the answer will be equal to the circumference of a circle of diameter twenty thousand. This calculates to 3.1416 close to the actual value Pi (3.14159). But his greatest donation has to be zero, known as the "Shunya" in his times. His other works include theorems on trigonometry, arithmetic, algebra, quadratic equations and the sine table.
The place-value system, first seen in the 3rd century Bakhshali Manuscript, was clearly in place in his work. While he did not use a symbol for zero, the French mathematician Georges Ifrah explains that knowledge of zero was implicit in Aryabhata's place-value system as a place holder for the powers of ten with null coefficients.
However, Aryabhata did not use the Brahmi numerals. Continuing the Sanskritic tradition from Vedic times, he used letters of the alphabet to denote numbers, expressing quantities, such as the table of sines in a mnemonic form.

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