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The instructor was inquiring some simple inquiries in arithmetic. The category was larning the simple operation of division. When the instructor asked how many bananas would each boy get if three bananas were divided every bit among three male childs. person had an reply. One each. Thousand bananas divided every bit among thousand male childs? The reply was still the same.
One. The category was come oning therefore. inquiry being asked by the instructor and replies being provided by the pupil. But there was a male child who had a inquiry. If none of the bananas was divided among no male childs. how much would each boy get?
The whole category explosion into laughter at what the pupils thought was a fast one or a cockamamie inquiry.
But the instructor seemed to hold been impressed. He took it upon himself to explicate to the male childs that what the pupil asked was non a cockamamie inquiry. But the instructor seemed to hold been impressed. He took it upon himself to explicate to the male childs that what the pupil had asked was non a cockamamie inquiry but instead a profound one. He was oppugning the instructor about the construct of eternity. A construct that had baffled mathematicians for centuries. until the Indian scientist Bhaskara had provided some visible radiation.
He had proved that nothing divided by zero nor one. but eternity. The pupil was Srinivasa Ramanujan. the mastermind who introduced the construct of nothing to the universe.
Srinivasa Iyengar Ramanujan. popularly known as S. Ramanujan was a great mathematician from India. He was born December 22. 1887 in Erode. Madras Presidency at the abode of his maternal grandparents. His male parent. K. Srinivasa Iyengar. worked as a clerk in a saree store and hailed from the territory of Thanjavur. His female parent. Komalatammal. was a homemaker and besides sang at a local temple. They lived in Sarangapani Street in a traditional place in the town of Kumbakonam. When he was about five old ages old. Ramanujan entered the primary school in Kumbakonam although he would go to several different primary schools before come ining the Town High School in Kumbakonam in January 1898. At the Town High School. Ramanujan was to make good in his full school topic and showed himself an able all unit of ammunition bookman. In 1900 he began to work on his ain on mathematics summing geometric and arithmetic series. It was in the Town High School that Ramanujan came across a mathematics book by G S Carr called Synopsis of simple consequences in pure mathematics.
This book. with its really concise manner. allowed Ramanujan to learn himself mathematics. but the manner of the book was to hold a instead unfortunate consequence on the manner Ramanujan was subsequently to compose down mathematics since it provided the lone theoretical account that he had of written mathematical statements. The book contained theorems. expression and short cogent evidence. It besides contained an index to documents on pure mathematics which had been published in the European Journals of Learned Societies during the first half of the nineteenth century. The book. published in 1856. was of class good out of day of the month by the clip Ramanujan used it. By 1904 Ramanujan had begun to set about deep research. He investigated the series ? ( 1/n ) and calculated Euler’s changeless to 15 denary topographic points.
He began to analyze the Bernoulli Numberss. although this was wholly his ain independent find. Ramanujan. on the strength of his good school work. was given a scholarship to the Government College in Kumbakonam which he entered in 1904. However the undermentioned twelvemonth his scholarship was non renewed because Ramanujan devoted more and more of his clip to mathematics and neglected his other topics. Without money he was shortly in troubles and. without stating his parents. he ran off to the town of Vizagapatnam about 650 kilometers north of Madras. He continued his mathematical work. nevertheless. and at this clip he worked on hypergeometric series and investigated dealingss between integrals and series. He was to detect subsequently that he had been analyzing elliptic maps. In 1906 Ramanujan went to Madras where he entered Pachaiyappa’s College. His purpose was to go through the First Arts scrutiny which would let him to be admitted to the University of Madras.
He attended talks at Pachaiyappa’s College but became badly after three months study. He took the First Arts scrutiny after holding left the class. He passed in mathematics but failed all his other topics and hence failed the scrutiny. This meant that he could non come in the University of Madras. In the undermentioned old ages he worked on mathematics developing his ain thoughts without any aid and without any existent thought of the so current research subjects other than that provided by Carr’s book. Continuing his mathematical work Ramanujan studied continued fractions and divergent series in 1908. At this phase he became earnestly sick once more and underwent an operation in April 1909 after which he took him some considerable clip to retrieve. He married on 14 July 1909 when his female parent arranged for him to get married a 10 twelvemonth old miss S Janaki Ammal.
Ramanujan did non populate with his married woman. nevertheless. until she was 12 old ages old. Ramanujan continued to develop his mathematical thoughts and began to present jobs and work out jobs in the Journal of the Indian Mathematical Society. He devoloped dealingss between elliptic modular equations in 1910. After publication of a superb research paper on Bernoulli Numberss in 1911 in the Journal of the Indian Mathematical Society he gained acknowledgment for his work. Despite his deficiency of a university instruction. he was going good known in the Madras country as a mathematical mastermind. In 1911 Ramanujan approached the laminitis of the Indian Mathematical Society for advice on a occupation. After this he was appointed to his first occupation. a impermanent station in the Accountant General’s Office in Madras.
It was so suggested that he approach Ramachandra Rao who was a Collector at Nellore. Ramachandra Rao was a laminitis member of the Indian Mathematical Society who had helped get down the mathematics library. Ramachandra Rao told him to return to Madras and he tried. unsuccessfully. to set up a scholarship for Ramanujan. In 1912 Ramanujan applied for the station of clerk in the histories subdivision of the Madras Port Trust. Despite the fact that he had no university instruction. Ramanujan was clearly good known to the university mathematicians in Madras for. with his missive of application. Ramanujan included a mention from E W Middlemast who was the Professor of Mathematics at The Presidency College in Madras. Indeed the University of Madras did give Ramanujan a scholarship in May 1913 for two old ages and. in 1914. Hardy brought Ramanujan to Trinity College. Cambridge. to get down an extraordinary coaction.
Puting this up was non an easy affair. Ramanujan was an Orthodox Brahmin and so was a rigorous vegetarian. His faith should hold prevented him from going but this trouble was overcome. partially by the work of E H Neville who was a co-worker of Hardy’s at Trinity College and who met with Ramanujan while talking in India. Ramanujan sailed from India on 17 March 1914. It was a unagitated ocean trip except for three yearss on which Ramanujan was airsick. He arrived in London on 14 April 1914 and was met by Neville.
After four yearss in London they went to Cambridge and Ramanujan spent a twosome of hebdomads in Neville’s place before traveling into suites in Trinity College on 30th April. Right from the beginning. nevertheless. he had jobs with his diet. The eruption of World War I made obtaining particular points of nutrient harder and it was non long earlier Ramanujan had wellness jobs. Right from the start Ramanujan’s coaction with Hardy led to of import consequences. Hardy was. nevertheless. diffident how to near the job of Ramanujan’s deficiency of formal instruction.
The war shortly took Littlewood off on war responsibility but Hardy remained in Cambridge to work with Ramanujan. Even in his first winter in England. Ramanujan was sick and he wrote in March 1915 that he had been badly due to the winter conditions and had non been able to print anything for five months. What he did print was the work he did in England. the determination holding been made that the consequences he had obtained while in India. many of which he had communicated to Hardy in his letters. would non be published until the war had ended. On 16 March 1916 Ramanujan graduated from Cambridge with a Bachelor of Science by Research ( the grade was called a Ph. D. from 1920 ) . He had been allowed to inscribe in June 1914 despite non holding the proper makings.
Ramanujan’s thesis was on Highly composite Numberss and consisted of seven of his documents published in England. Ramanujan fell earnestly badly in 1917 and his physicians feared that he would decease. He did better a small by September but spent most of his clip in assorted nursing places. On 18 February 1918 Ramanujan was elected a chap of the Cambridge Philosophical Society and so three yearss subsequently. the greatest honor that he would have. his name appeared on the list for election as a chap of the Royal Society of London. He had been proposed by an impressive list of mathematicians. viz. Hardy. MacMahon. Grace. Larmor. Bromwich. Hobson. Baker. Littlewood. Nicholson. Young. Whittaker. Forsyth and Whitehead.
His election as a chap of the Royal Society was confirmed on 2 May 1918. and so on 10 October 1918 he was elected a Fellow of Trinity College Cambridge. the family to run for six old ages. The awards which were bestowed on Ramanujan seemed to assist his wellness better a small and he renewed his attempts at bring forthing mathematics. By the terminal of November 1918 Ramanujan’s wellness had greatly improved. Ramanujan sailed to India on 27 February 1919 geting on 13 March. However his wellness was really hapless and. despite medical intervention. he died there the undermentioned twelvemonth.
Ramanujan worked out the Riemann series. the elliptic integrals. hyper geometric series and functional equations of the zeta map. Ramanujan’s ain work on partial amounts and merchandises of hyper geometric series have led to major development in the subject. Possibly his most celebrated work was on the figure P ( n ) of dividers of an whole number N into summands. He made extraordinary parts to mathematical analysis. figure theory. infinite series. and continued fractions. The figure theory is the abstract survey of the construction of figure systems and belongingss of positive whole numbers. It includes assorted theorems about premier Numberss ( a premier figure is an whole number greater than one that has non built-in factor ) .
Number theory includes analytic figure theory. originated by Leonhard Euler ( 1707-89 ) ; Geometric theory – which uses such geometrical methods of analysis as Cartesian coordinates. vectors and matrices ; and probabilistic figure theory based on chance theory. What Ramanujan did will be to the full understood by a really few.
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