The second was new to Hardy, and was derived from a class of functions called hypergeometric serieswhich had first been researched by Leonhard Euler and Carl Friedrich Gauss. Hardy found these results "much more intriguing" than Gauss's work on integrals. Littlewoodto take a look at the papers. Littlewood was amazed by Ramanujan's genius.
Version for printing Srinivasa Ramanujan was one of Sreenivasa ramanujan greatest mathematical geniuses. He made substantial contributions to the analytical theory of numbers and worked on elliptic functionscontinued fractionsand infinite series.
|Ramanujan, Srinivasa () -- from Eric Weisstein's World of Scientific Biography||The field of Affective Computing AC expects to narrow the communicative gap between the highly emotional human and the emotionally challenged computer by developing computational systems that recognize and respond to the affective states of the user. Affect-sensitive interfaces are being developed in number of domains, including gaming, mental health, and learning technologies.|
|Keep Exploring Britannica||Casting[ edit ] "We had very few photos of Ramanujan and his family. So, we had to purely depend on whatever information was available on the social setup of Iyengars and other castes of that period.|
|Srinivasa Ramanujan, a Mathematician Brilliant Beyond Comparison||NonfictionScienceMathematics Influences edit data Srinivasa Ramanujan FRS 22 December — 26 April was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Living in India with no access to the larger mathematical community, which was centred in Europe at the time, Ramanujan developed his own mathematical research in isolation.|
Ramanujan was born in his grandmother's house in Erode, a small village about km southwest of Madras. When Ramanujan was a year old his mother took him to the town of Kumbakonam, about km nearer Madras.
His father worked in Kumbakonam as a clerk in a cloth merchant's shop. In December he contracted smallpox. 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 At the Town High School, Ramanujan was to do well in all his school subjects and showed himself an able all round scholar.
In he began to work on his own on mathematics summing geometric and arithmetic series. Ramanujan was shown how to solve cubic equations in and he went on to find his own method to solve the quartic.
The following year, not knowing that the quintic could not be solved by radicalshe tried and of course failed to solve the quintic. This book, with its very concise style, allowed Ramanujan to teach himself mathematics, but the style of the Sreenivasa ramanujan 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.
The book contained theorems, formulae and short proofs. 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 19th century.
The book, published inwas of course well out of date by the time Ramanujan used it. By Ramanujan had begun to undertake deep research.
He began to study the Bernoulli numbersalthough this was entirely his own independent discovery. Ramanujan, on the strength of his good school work, was given a scholarship to the Government College in Kumbakonam which he entered in However the following year his scholarship was not renewed because Ramanujan devoted more and more of his time to mathematics and neglected his other subjects.
Without money he was soon in difficulties and, without telling his parents, he ran away to the town of Vizagapatnam about km north of Madras. He continued his mathematical work, however, and at this time he worked on hypergeometric series and investigated relations between integrals and series.
He was to discover later that he had been studying elliptic functions. In Ramanujan went to Madras where he entered Pachaiyappa's College. His aim was to pass the First Arts examination which would allow him to be admitted to the University of Madras.
He attended lectures at Pachaiyappa's College but became ill after three months study. He took the First Arts examination after having left the course. He passed in mathematics but failed all his other subjects and therefore failed the examination.
This meant that he could not enter the University of Madras. In the following years he worked on mathematics developing his own ideas without any help and without any real idea of the then current research topics other than that provided by Carr's book.
Continuing his mathematical work Ramanujan studied continued fractions and divergent series in At this stage he became seriously ill again and underwent an operation in April after which he took him some considerable time to recover.
He married on 14 July when his mother arranged for him to marry a ten year old girl S Janaki Ammal. Ramanujan did not live with his wife, however, until she was twelve years old. Ramanujan continued to develop his mathematical ideas and began to pose problems and solve problems in the Journal of the Indian Mathematical Society.
He devoloped relations between elliptic modular equations in After publication of a brilliant research paper on Bernoulli numbers in in the Journal of the Indian Mathematical Society he gained recognition for his work.
Despite his lack of a university education, he was becoming well known in the Madras area as a mathematical genius. In Ramanujan approached the founder of the Indian Mathematical Society for advice on a job. After this he was appointed to his first job, a temporary post in the Accountant General's Office in Madras.
It was then suggested that he approach Ramachandra Rao who was a Collector at Nellore.
Ramachandra Rao was a founder member of the Indian Mathematical Society who had helped start the mathematics library. He writes in [ 30 ]: He was miserably poor.Ramanujan, Srinivasa () Indian mathematician who was self-taught and had an uncanny mathematical manipulative ability.
Ramanujan was unable to pass his school examinations in India, and could only obtain a clerk's position in the city of Madras. Srinivasa Ramanujan FRS (/ ˈ ʃ r iː n i ˌ v ɑː s ə r ɑː ˈ m ɑː n ʊ dʒ ən /; listen (help · info); 22 December – 26 April ) was an Indian mathematician who lived during the British Rule in India.
Ramanujan is a biographical film based on the life of renowned Indian mathematician Srinivasa Ramanujan. The film, written and directed by Gnana Rajasekaran, was shot back to back in the Tamil and English languages.
Ramanujan is a biographical film based on the life of renowned Indian mathematician Srinivasa Ramanujan. The film, written and directed by Gnana Rajasekaran, was shot back to back in the Tamil and English languages. . Srinivasa Ramanujan () was an Indian mathematician who made great and original contributions to many mathematical fields, including complex analysis, number theory, infinite series, and continued fractions. Watch video · Srinivasa Ramanujan was a mathematical genius who made numerous contributions in the field, namely in number theory. The importance of his research continues to be studied and inspires Born: Dec 22,
. century was the incandescent genius Srinivasa Ramanujan (–). Ramanujan, whose formal training was as limited as his life was short, burst upon the mathematical scene with a . Srinivasa Ramanujan was a largely self-taught pure mathematician. Hindered by poverty and ill-health, his highly original work has considerably enriched number theory and, more recently, physics.
Jan 04, · This feature is not available right now. Please try again later.