Oct 16, · 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 He was not a formal mathematician but made his part to factorial stuff, number theory and continued fractions Apr 30, · Srinivasa Ramanujan was a man dedicated to mathematics and had a true love for it. He was also a man entrenched in his religion and a deep commitment to his family. He consistently wanted to improve the education in his community and showed much interest in the poor and orphans who needed help getting an education Apr 25, · Srinivasa Ramanujan Essay true, no one would have had the imagination to invent them". Thus was Srinivasa Ramanujan () introduced to the mathematical world. Born in South India, Ramanujan was a promising student, winning academic prizes in high school
Srinivasa Ramanujan - Wikipedia
Though he had almost no formal training in pure mathematicshe made substantial contributions to mathematical analysisnumber theoryinfinite seriesand continued fractionsincluding solutions to mathematical problems then considered unsolvable, srinivasa ramanujan essay. Ramanujan initially developed his own mathematical research srinivasa ramanujan essay isolation: according to Hans Srinivasa ramanujan essay : "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". Hardy at the University of CambridgeEngland. Recognizing Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, srinivasa ramanujan essay, Hardy commented that Ramanujan had produced groundbreaking new theoremsincluding some that "defeated me completely; I had never seen anything in the 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 srinivasa ramanujan essay 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 been 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 the mathematical knowledge he displayed was revealed to him by his family goddess Namagiri Thayar.
He once said, "An equation for me has no meaning unless it expresses a thought of God. Ramanujan literally, "younger brother of Rama ", a Hindu deity [14] : 12 was born on 22 December into a Tamil Brahmin Iyengar family in ErodeMadras Presidency now Tamil Nadu, Indiaat the residence of his maternal grandparents.
When Ramanujan was a year and a half old, his mother gave birth to a son, srinivasa ramanujan essay, Sadagopan, who died less than three months later, srinivasa ramanujan essay. In December Ramanujan contracted smallpoxsrinivasa ramanujan essay, but recovered, unlike the 4, others who died in a bad year in the Thanjavur district around this time.
He moved with his mother to her parents' house in Kanchipuramsrinivasa ramanujan essay, near Madras now Chennai. His mother gave birth to two more children, in srinivasa ramanujan essayboth of whom died before their first birthdays. On 1 October Ramanujan was enrolled at the local school, srinivasa ramanujan essay.
He did 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 srinivasa ramanujan essay learned about tradition and puranassrinivasa ramanujan essay, to sing religious songs, to attend pujas at the temple, and to maintain particular eating habits—all part of Brahmin culture.
Just before turning 10, in Novemberhe passed his primary examinations in English, Tamilgeography 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, srinivasa ramanujan essay. 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 developed his own method to solve the quartic. The following year he tried to solve the quinticnot knowing that it could not be solved by radicals. Inwhen he was 16, Ramanujan obtained from a friend a library copy 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. 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 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 April[25] 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, srinivasa ramanujan essay.
After the marriage, Ramanujan developed a hydrocele testis. In Januarya doctor volunteered to do the surgery at no cost. After his successful surgery, srinivasa ramanujan essay, 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 tutored students at Presidency College who were preparing for their F. In lateRamanujan was sick again. He feared for his health, and told his friend R.
Radakrishna Iyer to "hand [his notebooks] over to Professor Singaravelu Mudaliar [the mathematics professor at Pachaiyappa's College] or to the British professor Edward B.
Ross, of the Madras Christian College. In srinivasa ramanujan essay, Ramanujan 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 srinivasa ramanujan essay 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, srinivasa ramanujan essay, a srinivasa ramanujan essay Bombay mathematician, in which Saldhana expressed a lack of understanding of his work but concluded that he was not a fraud.
Rajagopalachari tried to quell Rao's doubts about Ramanujan's academic 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. With 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 was to find the value of: [14]. He waited srinivasa ramanujan essay a solution to be offered in three issues, over six months, but failed to receive any.
At the end, Ramanujan supplied the 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:, srinivasa ramanujan essay. 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 and precision, that the ordinary [mathematical reader], unaccustomed to such intellectual gymnastics, could hardly srinivasa ramanujan essay him. Ramanujan later wrote another paper and also continued to provide problems in the Journal. He lasted only a few weeks. Sir, I understand there is a clerkship vacant in your office, 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 srinivasa ramanujan essay to several srinivasa ramanujan essay circumstances. I have, however, been devoting all my time to Mathematics and developing the subject.
I can say I am quite confident Srinivasa ramanujan essay 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. Middlemasta 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 Iyer, srinivasa ramanujan essay, Ramachandra Rao and E. Middlemast tried to present Ramanujan's work to British mathematicians. Hill of University College London commented that Ramanujan's papers were riddled with holes. With the help of friends, 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. Bauer in
Short Essay on The Great Indian Mathematician: Ramanujan
, time: 0:46Short Essay on Srinivasa Ramanujan – 2 Essays - blogger.com
Apr 30, · Srinivasa Ramanujan was a man dedicated to mathematics and had a true love for it. He was also a man entrenched in his religion and a deep commitment to his family. He consistently wanted to improve the education in his community and showed much interest in the poor and orphans who needed help getting an education 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 profound. He was indeed a mathematical phenomenon of the twentieth century. This legendary genius of India ranks among the all time greats like Euler and blogger.comted Reading Time: 4 mins In his quarterly papers Ramanujan drew up theorems to make definite integrals more easily solvable. Working off Giuliano Frullani's integral theorem, Ramanujan formulated generalisations that could be made to evaluate formerly unyielding integrals
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