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Tuesday, March 12, 2019

Srinivasa Ramanujan

Srinivasa Ra cosmosujan Ramanujan was born in India to a poor family in Erode, a city in Madras state. His father was a clerk and his mother a deeply religious housewife. zero(prenominal)e of these facts reflect who Ramanujan re entirelyy was. He was a brilliant, self-taught mathematician whose ideas caught the attention of some of the prolific mathematicians of his time to include G. H. Hardy. In this short circuit biography we will cover both his life and his contri andions to math. As verbalize earlier, he was born in south India to a poor family nevertheless they were still respectable in the community.This gave Ramanujan the opportunity to attend school and get going learning elementary Mathematics. He was quickly realized as a truly brilliant student with most of his talent directed towards mathematics. Interestingly, his family would sometimes take in student boarders and one of them gave him a trigonometry text edition when he was twelve and he mastered it within a year . In 1903 he was awarded a scholarship to attend the Government College at Kumbakonam. He spent all of his time studying mathematics and ended up failing his other subjects and lost his scholarship and dropped out.He married Janaki in 1909 and acquired a job as a clerk. While the position did not digest some(prenominal) it allowed him much time to concentrate on his research. Ramanujan went to Cambridge in 1914, patron get on with the great strides he do in his work in software documentation Hardy and Littlewood it took a great toll on his body. Ramanujan, being near to his religion did not eat meat and the lack of quality vegetarian fodder in England and his long working hours were hard on his body. In 1917, Ramanujan was hospitalized with what was apprehension to be tuberculosis.While continually working from his hospital bed, he did not surface enough improvement to make the trip back to India until 1919. Even with the outmatch medical care available in India, Ramanujan died on April 29, 1920 at the age of 32. Ramanujans genius in mathematics is still represented today. His concern on Number Theories, Modular Forms, Statistical Mechanics, and other branches of mathematics commit made great contributions not only in math but also in physics and computer science. Ramanujans style and methods of mathematics developed from his earlier studies in trigonometry and Carrs volume of theorems.In his protest works, Ramanujan looked for such formulas or identities that he saw in Carrs works. In his earlier work, when he found a formula or make out he felt to be true by his own numeral intuition and therefore he provided few proofs for his results. In his works with Hardy, they made great progress in the theory of partitions. The partition track down p(n) is the function of a positive integer n which is a representation of n as a sum of strictly positive integers. Thus p(1)= 1, p(2)= 2, p(3)= 3, p(4)= 5 ,p(5)= 7, p(6)= 11. (Denbath 628) In some of his las t work before his death, Ramanujan discovered what is instanter known as the Mock Theta Functions. Mock functions are q series with exponential function singularities such that the arguments terminate for some power. 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.With all of the accomplishments and accolades that are attached to his name the truth of who Ramanujan was as a mathematician and a mortal makes him truly a one of a kind person in history. Works Cited Watkins, Thayer. Srinivasa Ramanujan, a Mathematician Beyond Compare. San Jose University, n. d. Web. 19 November 2012. Debnath, Lokenath. Srinivasa Ramanujan (1887-1920) and the Theory of Partitiions of poetry and Statistical Mechanics a Centennial Tribute. J. Math. & Math & Sci. Vol. 10 No. 4 (1987) 625-640. Web. 19 November 2012.

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