Shri Ramanujacharya
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Who was Ramanujan?
J.P.Bohre, NCERT- Contribution of Indian Mathematicians
(1) Ramanujan was born on 22nd of December 1887 in Erode, Madras Presidency. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.
(2) He demonstrated unusual mathematical skill at school,winning accolades and awards.
(3) By 17,he had conducted his own mathematical research on Bernoulli numbers and the Euler‐Mascheroni constant.
(4) He discovered theorems of his own and rediscovered Euler's identity independently.
(5) He sent a set of 120 theorems to Professor Hardy of Cambridge. As a result he invited Ramanujan to England.
(6) He independently compiled nearly 3900 results (mostly identities and equations).Nearly all his claims have now been proved correct.
(7) Ramanujan Showed that any big number can be written as sum of not more than four prime numbers.
(8) He showed that how to divide the number into two or more squares or cubes.
(9) Ramanujan's Number:When Mr.G.H. Hardy 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+123 since than the number 1729 is called Ramanujan’s number.
(10) In 1918, Ramanujan and Hardy studied the partition function P(n) extensively and gave a non‐convergent asymptotic series that permits exact computation of the number of partition of an integer.
(11) He discovered mock theta function in the last year of his life .For many years these functions were a mystry,but they are now known to be the holomorphic parts of harmonic weak mass forms.
