Read this Essay on Srinivasa Ramanujan ( A.D. – A.D.)! One of the greatest mathematicians of India, Ramanujan’s contribution to the theory of numbers has been 16/10/ · Srinivasa Ramanujan – Short Essay 1. Srinivasa Ramanujan was a famous Indian Mathematician who lived during the British rule in India. He was born on 22 December Srinivasa Ramanujan FRS (/ ˈ s r iː n ɪ v ɑː s ə r ɑː ˈ m ɑː n ʊ dʒ ən /; born Srinivasa Ramanujan Aiyangar, IPA: [sriːniʋaːsa ɾaːmaːnud͡ʑan ajːaŋgar]; 22 December – 26 April
Essay on Srinivasa Ramanujan for Students in English in Words
Though he had almost no formal training in pure mathematicssrinivasa ramanujan essay, he made substantial contributions to mathematical analysisnumber theoryinfinite seriesand continued fractionsincluding solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation: according to Hans Eysenck : "He tried to interest the leading professional mathematicians in his work, but failed for the most part. What he had to show them was too novel, too unfamiliar, and additionally presented in unusual ways; they could not be bothered", srinivasa ramanujan essay.
Hardy at the University of CambridgeEngland. Recognising Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, Hardy commented that Ramanujan had produced groundbreaking new theoremsincluding some that "defeated me completely; I had never seen anything in srinivasa ramanujan essay least like them before", [5] and some recently proven but highly advanced results. During his short life, Ramanujan independently compiled nearly 3, results mostly identities and equations. As late asresearchers continued to discover that mere comments in his writings about "simple properties" and "similar outputs" for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death.
Of his original letters, Hardy stated that a single look was enough to show they could have been written only by a mathematician of the highest calibre, comparing Ramanujan to mathematical geniuses such as Euler and Jacobi. Inill health—now believed to have srinivasa ramanujan essay hepatic amoebiasis a complication from episodes of dysentery many years previously —compelled Ramanujan's return to India, where he died in at the age of His last letters to Hardy, written in Januaryshow that he was still continuing to produce new mathematical ideas and theorems. His " lost notebook ", containing discoveries from the last year of his life, caused great excitement among mathematicians when it was rediscovered in A deeply religious Hindu[12] Ramanujan credited his substantial mathematical capacities to divinityand said his family goddess, Namagiri Thayarrevealed his mathematical knowledge to him.
He once said, "An srinivasa ramanujan essay for me has no meaning unless it expresses a thought of God, srinivasa ramanujan essay. Ramanujan literally, "younger brother of Rama ", a Hindu deity [14] was born on 22 December into a Tamil Brahmin Iyengar family in Erodein present-day Tamil Nadu. When Ramanujan was a year and a half old, his mother gave birth to srinivasa ramanujan essay son, Sadagopan, who died less than three months later. In DecemberRamanujan contracted smallpoxbut recovered, unlike the 4, others who died in a bad year in the Thanjavur district around this time, srinivasa ramanujan essay. He moved with his mother to her parents' house in Kanchipuramnear Madras now Chennai. His mother gave birth to two more children, in andboth of whom died before their first birthdays.
On 1 OctoberRamanujan was enrolled at the local school. He srinivasa ramanujan essay not like school in Madras, and tried to avoid attending. His family enlisted a local constable to make sure he attended school. Within six months, Ramanujan was back in Kumbakonam. Since Ramanujan's father was at work most of the day, his mother took care of the boy, and they had a close relationship. From her, he learned about tradition and puranasto sing religious songs, to attend pujas at the temple, and to maintain particular eating habits—all part of Brahmin culture, srinivasa ramanujan essay.
Just before turning 10, in Novemberhe passed his primary examinations in English, Tamilgeography, srinivasa ramanujan essay, and arithmetic with the best scores in the district. A child prodigy by age 11, he had exhausted the mathematical knowledge of two college students who were lodgers at his home. He was later lent a book written by S. Loney on advanced trigonometry. By 14, he received merit certificates and academic awards that continued throughout his school career, and he assisted the school in the logistics of assigning its 1, students each with differing needs to its approximately 35 teachers. Ramanujan was shown how to solve cubic equations in He would later develop his own method to solve the quartic. Inhe tried to solve the quinticnot knowing that it was impossible to solve with radicals.
Inwhen he was 16, Ramanujan obtained from a friend a library srinivasa ramanujan essay of A Synopsis of Elementary Results in Pure and Applied MathematicsG. Carr 's collection of 5, theorems. When he graduated from Town Higher Secondary School inRamanujan was awarded the K, srinivasa ramanujan essay. Ranganatha Rao prize for mathematics by the school's headmaster, Krishnaswami Iyer. Iyer introduced Ramanujan as an outstanding student who deserved scores higher than the maximum. There, srinivasa ramanujan essay, he passed in mathematics, choosing only to attempt questions that appealed to him and leaving the rest unanswered, but performed poorly in other subjects, such as English, physiology, and Sanskrit.
Without an FA degree, he left college and continued to pursue independent research in mathematics, living in extreme poverty and often on the brink of starvation. Inafter a meeting between the year-old Ramanujan and the founder of the Indian Mathematical SocietyV. Ramaswamy AiyerRamanujan began to get recognition in Madras's mathematical circles, leading to his inclusion as a researcher at the University of Madras. On 14 JulyRamanujan married Janaki Janakiammal; 21 March — 13 Aprilsrinivasa ramanujan essay, [40] a girl his mother had selected for him a year earlier and who was ten years old when they married. Janaki was from Rajendram, a village close to Marudur Karur district Railway Station.
Ramanujan's father did not participate in the marriage ceremony. Inshe and Ramanujan's mother joined Ramanujan in Madras. After the marriage, Ramanujan developed a hydrocele testis. In Januarya doctor volunteered to do the surgery at no cost. After his successful surgery, Ramanujan searched for a job. He stayed at a friend's house while he went from door to door around Madras looking for a clerical position. To make money, he srinivasa ramanujan essay students at Presidency College who were preparing for their Fellow of Arts exam. In lateRamanujan was sick again.
He feared for his health, and told his friend R. Radakrishna Iyer to "hand [his notebooks] srinivasa ramanujan essay to Professor Singaravelu Mudaliar [the mathematics professor at Pachaiyappa's College] or to the British professor Edward B. Ross, srinivasa ramanujan essay, of the Madras Christian College. InRamanujan met deputy collector V. Ramaswamy Aiyerwho founded the Indian Mathematical Society. As Aiyer later recalled:. I was struck by the extraordinary mathematical results contained in [the notebooks]. I had no mind to smother his genius by an appointment in the lowest rungs of the revenue department. Aiyer sent Ramanujan, with letters of introduction, to his mathematician friends in Madras.
Ramachandra Raothe district collector for Nellore and the secretary of the Indian Mathematical Society. Ramanujan mentioned a correspondence he had with Professor Saldhana, a notable Bombay mathematician, srinivasa ramanujan essay which Saldhana expressed a lack of understanding of his work but concluded that he was not a fraud. Srinivasa ramanujan essay tried to quell Rao's doubts about Ramanujan's srinivasa ramanujan essay integrity. Rao agreed to give him another chance, and listened as Ramanujan discussed elliptic integralshypergeometric seriesand his theory of divergent serieswhich Rao said ultimately convinced him of Ramanujan's brilliance. Rao consented and sent him to Madras. He continued his research with Rao's financial aid. Srinivasa ramanujan essay Aiyer's help, Ramanujan had his work published in the Journal of the Indian Mathematical Society.
One of the first problems he posed in the journal [32] was to find the value of:. He waited for a solution to be offered in three issues, over six months, but failed to receive any. At the end, Srinivasa ramanujan essay supplied an incomplete [61] solution to the problem himself. On page of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem. One property he discovered was that the denominators sequence A in the OEIS of the fractions of Bernoulli numbers are always divisible by six. He also devised a method of calculating B n based on previous Bernoulli numbers. One of these methods follows:.
In his page paper "Some Properties of Bernoulli's Numbers"Ramanujan gave three proofs, two corollaries and three conjectures. As Journal editor M. Narayana Iyengar noted:. Ramanujan's methods were so terse and novel and his presentation so lacking in clearness srinivasa ramanujan essay precision, that the ordinary [mathematical reader], unaccustomed to such intellectual gymnastics, srinivasa ramanujan essay hardly follow him. Ramanujan later wrote another paper and also continued to provide problems in the Journal. He lasted only a few weeks. Sir, srinivasa ramanujan essay, I understand there is a clerkship vacant in your office, srinivasa ramanujan essay, and I beg to apply for the same. I have passed the Matriculation Examination and studied up to the F.
but was prevented from pursuing my studies further owing to several untoward circumstances. I have, however, been devoting all my time to Mathematics and developing the subject. I can say Srinivasa ramanujan essay am quite confident I can do justice to my work if I am appointed to the post. I therefore beg to request that you will be good enough to confer the appointment on me. Attached to his application was a recommendation from E. Middlemastsrinivasa ramanujan essay, a mathematics professor at the Presidency Collegewho wrote that Ramanujan was "a young man of quite exceptional capacity in Mathematics".
Ramanujan's boss, Sir Francis Springand S. Narayana Iyer, a colleague who was also treasurer of the Indian Mathematical Society, encouraged Ramanujan in his mathematical pursuits. In the spring ofNarayana Srinivasa ramanujan essay, Ramachandra Rao and E. Middlemast tried to present Ramanujan's srinivasa ramanujan essay to British mathematicians. Hill of University College London commented that Ramanujan's papers were riddled with holes. With the help of friends, srinivasa ramanujan essay, Ramanujan drafted letters to leading mathematicians at Cambridge University. The first two professors, H. Baker and E. Hobsonreturned Ramanujan's papers without comment. The first result had already been determined by G.
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Srinivasa Ramanujan, sometimes described as ‘The World’s Greatest Mathematician’ was born into a poor Indian village, Erode, on the 22nd of December, He lived in Erode for only a 16/10/ · Srinivasa Ramanujan – Short Essay 1. Srinivasa Ramanujan was a famous Indian Mathematician who lived during the British rule in India. He was born on 22 December Read this Essay on Srinivasa Ramanujan ( A.D. – A.D.)! One of the greatest mathematicians of India, Ramanujan’s contribution to the theory of numbers has been
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