He began to study the Bernoulli numbers, although this was entirely his own independent discovery. He investigated the series ∑ ( 1 n ) \sum (\large\frac\normalsize ) ∑ ( n 1 ) and calculated Euler's constant to 15 decimal places. The book, published in 1886, was of course well out of date by the time Ramanujan used it.īy 1904 Ramanujan had begun to undertake deep research. It also contained an index to papers on pure mathematics which had been published in the European Journals of Learned Societies during the first half of the 19 th century. The book contained theorems, formulae and short proofs. This book, with its very concise style, allowed Ramanujan to teach himself mathematics, but the style of the book was to have a rather unfortunate effect on the way Ramanujan was later to write down mathematics since it provided the only model that he had of written mathematical arguments. It was in the Town High School that Ramanujan came across a mathematics book by G S Carr called Synopsis of elementary results in pure mathematics. The following year, not knowing that the quintic could not be solved by radicals, he tried (and of course failed ) to solve the quintic. Ramanujan was shown how to solve cubic equations in 1902 and he went on to find his own method to solve the quartic. In 1900 he began to work on his own on mathematics summing geometric and arithmetic series. At the Town High School, Ramanujan was to do well in all his school subjects and showed himself an able all round scholar. When he was nearly five years old, Ramanujan entered the primary school in Kumbakonam although he would attend several different primary schools before entering the Town High School in Kumbakonam in January 1898. His father worked in Kumbakonam as a clerk in a cloth merchant's shop. When Ramanujan was a year old his mother took him to the town of Kumbakonam, about 160 km nearer Madras. Ramanujan was born in his grandmother's house in Erode, a small village about 400 km southwest of Madras (now Chennai ). He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series. Biography Srinivasa Ramanujan was one of India's greatest mathematical geniuses.
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