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which would allow him to be admitted to the  first job, a temporary post in the Accountant
        University  of Madras. He attended lectures  General’s Office  in  Madras.  It  was  then
        at Pachaiyappa’s College but became ill after  suggested that he approach Ramachandra Rao
        three  months  study.  He  took  the  First  Arts  who was a Collector at Nellore. Ramachandra
        examination after having left the course. He  Rao was a founder member of  the Indian
        passed in mathematics but failed all his other  Mathematical  Society  who  had helped start
        subjects and therefore failed the examination.  the mathematics library. He writes :-
        This meant that he could not enter the
 Srinivasa Aiyangar Ramanujan  University of Madras. In the following years  A short uncouth figure, stout, unshaven, not
        he worked on mathematics developing his  over clean, with one conspicuous  feature-
 Born: 22 December 1887 in Erode, Tamil Nadu state, India  own ideas without any help and without any  shining eyes-  walked  in  with  a frayed
 Died: 26 April 1920 in Kumbakonam, Tamil Nadu state, India  real idea of the then current research topics  notebook  under  his arm. He was miserably
        other than that provided by Carr’s book.              poor. ...  He opened his book and began to
                                                              explain some  of  his discoveries.  I  saw  quite
        Continuing        his     mathematical        work    at once that there was something out of the
        Ramanujan studied continued fractions and  way; but my knowledge did not permit me to
 Srinivasa  Ramanujan was  one of  India’s   the book was to have a rather unfortunate   divergent series  in 1908. At this  stage he  judge whether he talked sense or nonsense.
 greatest  mathematical geniuses. He  made   effect on the way Ramanujan was later to write   became seriously ill again and underwent an  ... I asked him what he wanted. He said he
 substantial  contributions  to  the  analytical   down mathematics since it provided the only   operation in April 1909 after which he took  wanted a pittance to live on so that he might
 theory of numbers and worked on elliptic   model  that he had of  written  mathematical   him  some  considerable  time  to  recover.  He  pursue his researches.
 functions, continued  fractions, and  infinite   arguments. The book contained theorems,   married  on 14 July 1909 when his mother
 series.  formulae and short proofs. It also contained   arranged for him to marry a ten year old girl S  Ramachandra  Rao told him to return to
 an index to papers on pure mathematics   Janaki Ammal. Ramanujan did not live with  Madras  and  he  tried,  unsuccessfully,  to
 Ramanujan was born in his grandmother’s   which had been published in the European   his wife, however, until she was twelve years  arrange a scholarship for Ramanujan.  In
 house in Erode, a small village about 400 km   Journals of Learned Societies during the first   old.  1912 Ramanujan applied for the post of clerk
 southwest of Madras. When Ramanujan was   half of the 19th century. The book, published   in  the  accounts section  of  the  Madras  Port
 a year old his mother took him to the town of   in 1856, was of course well out of date by the   Trust. In his letter of application he wrote:-
 Kumbakonam, about 160 km nearer Madras.   time Ramanujan used it.
 His father worked in Kumbakonam as a clerk                   I have passed the Matriculation Examination
 in  a  cloth  merchant’s shop.  In  December   By 1904 Ramanujan had begun to undertake   and studied up to the First Arts but was
 1889 he contracted smallpox.  deep research.  He  investigated  the  series   prevented from pursuing my studies further
 ∑(1/n)  and  calculated  Euler’s  constant  to               owing to several untoward circumstances. I
 When he was nearly five years old, Ramanujan   15 decimal places. He began to study the   have, however, been devoting all my time to
 entered the primary school in Kumbakonam   Bernoulli numbers, although this was entirely   Mathematics and developing the subject.
 although he would attend several different   his own independent discovery.
 primary schools before entering the Town High                Despite  the fact that he had no university
 School in Kumbakonam in January 1898. At   Ramanujan, on the strength of  his  good   education, Ramanujan was clearly well known
 the Town High School, Ramanujan was to do   school work, was given a scholarship to the   to the university mathematicians in Madras
 well  in all  his school subjects and showed   Government College in Kumbakonam which   for, with his letter of application,
 himself an able all round scholar. In 1900 he   he entered in 1904. However  the following   Ramanujan  included  a
 began to  work on his own on mathematics   year his scholarship was  not renewed   Ramanujan  continued  to  develop  his  reference from E W
 summing geometric and arithmetic series.  because Ramanujan devoted more and more   mathematical ideas and began to pose  Middlemast who was
 of his time to mathematics and neglected his   problems and solve problems in the Journal  the Professor of
 Ramanujan  was shown how to solve cubic   other subjects. Without money he was soon   of the Indian Mathematical Society. He  Mathematics  at
 equations in 1902 and he went on to find his   in difficulties and, without telling his parents,   devoloped relations between elliptic modular  The Presidency
 own method to solve the quartic. The following   he ran away to the town of Vizagapatnam   equations in 1910. After publication of  College  in
 year, not knowing that the quintic could not   about 650 km north of Madras. He continued   a  brilliant  research paper on Bernoulli  Madras
 be solved by radicals, he tried (and of course   his mathematical work, however, and at this   numbers in 1911 in the Journal of the Indian  Middlemast,
 failed) to solve the quintic.  time he worked on hypergeometric series and   Mathematical  Society  he gained recognition  a  graduate
 investigated relations between integrals and
 It  was in the Town High  School that   series. He was to discover later that he had   for his work. Despite his lack of a university  of  St John’s
        education, he was becoming well  known in  College,
 Ramanujan came across a mathematics book   been studying elliptic functions.  the Madras area as a mathematical genius.  Cambridge,
 by G  S Carr  called  Synopsis of  elementary                wrote:-
 results in pure mathematics. This book, with   In  1906 Ramanujan went  to  Madras where   In 1911 Ramanujan approached the founder
 its very concise style, allowed Ramanujan to   he entered Pachaiyappa’s College.  His  aim   of the Indian Mathematical Society for advice  I can  strongly
 teach himself mathematics, but the style of   was  to  pass  the First  Arts  examination
        on a job. After this he was appointed to his  recommend

 SIF Bahrain                                                                                     SIF Bahrain
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