RAMANUJAN

• He was born on 22naof December 1887 in a small village of  Tanjore district, Madras.He failed in English in Intermediate, so his formal studies were stopped but his self-study of mathematics continued.
• He sent a set of 120 theorems to Professor Hardy of Cambridge. As a result he invited Ramanujan to England.
• Ramanujan showed that any big number can be written as sum of not more than four prime numbers.
• He showed that how to divide the number into two or more squares or cubes.
• when Mr Litlewood came to see Ramanujan in taxi number 1729, Ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways,i.e. 1729 = 93 + 103 = 13 + 123since then the number 1729 is called Ramanujan’s number.
• In the third century B.C, Archimedes noted that the ratio of circumference of a circle to its diameter is constant. The ratio is now called ‘pi ( Π )’ (the 16th letter in the Greek alphabet series)
• The largest numbers the Greeks and the Romans used were 106 whereas Hindus used numbers as big as 1053 with specific names as early as 5000 B.C. during the Vedic period.

ARYABHATTA

• Aryabhatta was born in 476A.D in Kusumpur, India.
• He was the first person to say that Earth is spherical and it revolves around the sun.
• He gave the formula (a + b)2 = a2 + b2 + 2ab
• He taught the method of solving the following problems:

14 + 24 + 34 + 44 + 54 + …………+ n4 = n(n+1) (2n+1) (3n2+3n-1)/30