Aryabhata
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Who was Aryabhata?
J.P.Bohre, NCERT- Contribution of Indian Mathematicians
ARYABHATA(476—550AD)
(1) Aryabhatta was born in 476 A.D. Kusumpur, India.He was the first in the line of great mathematicians from the classical age of Indian Mathematics and Astronomy.
(2) His famous work are the” Aryabhatiya “and the”Arya‐siddhanta”.The Mathematical part of the Aryabhatiya covers arithmetic. algebra, plane and spherical trigonometry.The Arya‐siddhanta, a lot work on astronomical computation.
(3) Approximation of Pi: Aryabhata work on the approximation for pi (π) and may have come to the conclusion that π is an irrational number.In the 2nd part of Aryabhatiya, he writes the ratio of circumference to diameter is 3.1416.
(4) Aryabhata given the formula for area of a triangle .He also discussed the concept of sine in his work by the name of ardhajya. If we use Aryabhata’s table & calculate the value of sin30° which is 1719/3438=0.5.,the value is correct. His alphabetic code is commonly known as the Aryabhata cipher.
(5) He was first person to say that Earth is spherical and it revolves around the sun.
(6) He gave the formula (a+b)2 =a2 + b2 + 2ab.
(7) He taught the method of solving the following problems:
1+2+3+............+n = n(n+1)/2
12 + 22 + 32 +.........+ n2 = n(n+1)(2n+1)/6
13 + 23 + 33 +..............+ n3 = (n(n+1)/2)2
