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Jump to navigation Jump to search “Ramanujan” redirects here. In this Indian name, the name Srinivasa is a patronymic, not a family name, and the person should be referred to by the given name, Ramanujan. Srinivasa Ramanujan – OPC – 1. Indian mathematician who lived during the British Rule in India. Ramanujan’s return to India, where he died in 1920 at the age of 32. His last letters to Hardy, written January 1920, show that he was still continuing to produce new mathematical ideas and theorems.

A deeply religious Hindu, Ramanujan credited his substantial mathematical capacities to divinity, and stated that the mathematical knowledge he displayed was revealed to him by his family goddess. Srinivasa Iyengar, originally from Thanjavur district, worked as a clerk in a sari shop. His mother, Komalatammal, was a housewife and also sang at a local temple. They lived in a small traditional home on Sarangapani Sannidhi Street in the town of Kumbakonam. The family home is now a museum. On 1 October 1892, Ramanujan was enrolled at the local school.

Ramanujan and his mother moved back to Kumbakonam and he was enrolled in the Kangayan Primary School. When his paternal grandfather died, he was sent back to his maternal grandparents, then living in Madras. He did not like school in Madras, and tried to avoid attending. His family enlisted a local constable to make sure the boy 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 as a child. He had a close relationship with her.

From her, he learned about tradition and puranas. At the Kangayan Primary School, Ramanujan performed well. Just before turning 10, in November 1897, he passed his primary examinations in English, Tamil, geography and arithmetic with the best scores in the district. That year, Ramanujan entered Town Higher Secondary School, where he encountered formal mathematics for the first time. 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 by S. He mastered this by the age of 13 while discovering sophisticated theorems on his own. He completed mathematical exams in half the allotted time, and showed a familiarity with geometry and infinite series.

In 1903, when he was 16, Ramanujan obtained from a friend a library copy of A Synopsis of Elementary Results in Pure and Applied Mathematics, G. Ramanujan reportedly studied the contents of the book in detail. The book is generally acknowledged as a key element in awakening his genius. His peers at the time commented that they “rarely understood him” and “stood in respectful awe” of him. When he graduated from Town Higher Secondary School in 1904, Ramanujan was awarded the K. Ranganatha Rao prize for mathematics by the school’s headmaster, Krishnaswami Iyer.

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Iyer introduced Ramanujan as an outstanding student who deserved scores higher than the maximum. In August 1905, Ramanujan ran away from home, heading towards Visakhapatnam, and stayed in Rajahmundry for about a month. He later enrolled at Pachaiyappa’s College in Madras. 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.

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It was in 1910, after a meeting between the 23-year-old Ramanujan and the founder of the Indian Mathematical Society, V. It was not unusual for marriages to be arranged with girls. Ramanujan’s father did not participate in the marriage ceremony. After the marriage, Ramanujan developed a hydrocele testis. The condition could be treated with a routine surgical operation that would release the blocked fluid in the scrotal sac, but his family did not have the money for the operation. In January 1910, a 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 tutored students at Presidency College who were preparing for their F. In late 1910, Ramanujan was sick again. He feared for his health, and told his friend R. Radakrishna Iyer to “hand over to Professor Singaravelu Mudaliar or to the British professor Edward B. Ross, of the Madras Christian College. After Ramanujan recovered and retrieved his notebooks from Iyer, he took a train from Kumbakonam to Villupuram, a city under French control.

Ramaswamy Aiyer, who had founded the Indian Mathematical Society. Wishing for a job at the revenue department where Aiyer worked, Ramanujan showed him his mathematics notebooks. I was struck by the extraordinary mathematical results contained in . 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.

Some of them looked at his work and gave him letters of introduction to R. Ramachandra Rao, the district collector for Nellore and the secretary of the Indian Mathematical Society. Rajagopalachari tried to quell Rao’s doubts about Ramanujan’s academic integrity. When Rao asked him what he wanted, Ramanujan replied that he needed work and financial support. Rao consented and sent him to Madras. He continued his research, with Rao’s financial aid taking care of his daily needs. With Aiyer’s help, Ramanujan had his work published in the Journal of the Indian Mathematical Society.

He waited for 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 105 of his first notebook, he formulated an equation that could be used to solve the infinitely nested radicals problem. Ramanujan wrote his first formal paper for the Journal on the properties of Bernoulli numbers. Bernoulli numbers were always divisible by six. Ramanujan gave three proofs, two corollaries and three conjectures. Ramanujan’s writing initially had many flaws.

Ramanujan’s methods were so terse and novel and his presentation so lacking in clearness and precision, that the ordinary , unaccustomed to such intellectual gymnastics, could hardly follow him. Ramanujan later wrote another paper and also continued to provide problems in the Journal. In early 1912, he got a temporary job in the Madras Accountant General’s office, with a salary of 20 rupees per month. He lasted only a few weeks.

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. I have, however, been devoting all my time to Mathematics and developing the subject. I can say I am quite confident I can do justice to my work if I am appointed to the post. Attached to his application was a recommendation from E. Middlemast, a mathematics professor at the Presidency College, who wrote that Ramanujan was “a young man of quite exceptional capacity in Mathematics”.

At his office, Ramanujan easily and quickly completed the work he was given, so he spent his spare time doing mathematical research. Ramanujan’s boss, Sir Francis Spring, and S. Narayana Iyer, a colleague who was also treasurer of the Indian Mathematical Society, encouraged Ramanujan in his mathematical pursuits. In the spring of 1913, Narayana Iyer, Ramachandra Rao and E. Middlemast tried to present Ramanujan’s work to British mathematicians.