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  • Topic: Srinivasa Ramanujan, Number theory, G. H. Hardy
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  • Published : January 21, 2013
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Northwestern University
College of Teacher Education
Airport Avenue, Laoag City

In partial fulfillment
to the Requirements
of

FUNDAMENTAL CONCEPTS OF MATHEMATICS

“The life SRINIVASA RAMANUJAN (1887 -1920) and his many contributions to the development of Mathematics”

Prepared by:

MACUGAY, JEAN KATHRINE Q.
BEED – II

Submitted to:

DR. ELSIE C. PILAR, Ed.D
Professor

Date Submitted:

August 13, 2012

INTRODUCTION
The teacher was asking some simple questions in arithmetic. The class was learning the simple operation of division. When the teacher asked how many bananas would each boy get if three bananas were divided equally among three boys, someone had an answer. One each. Thousand bananas divided equally among thousand boys? The answer was still the same. One. The class was progressing thus, question being asked by the teacher and answers being provided by the student. But there was a boy who had a question. If none of the bananas was divided among no boys, how much would each boy get? The whole class burst into laughter at what the students thought was a fast one or a silly question. But the teacher seemed to have been impressed. He took it upon himself to explain to the boys that what the student asked was not a silly question. But the teacher seemed to have been impressed. He took it upon himself to explain to the boys that what the student had asked was not a silly question but rather a profound one. He was questioning the teacher about the concept of infinity. A concept that had baffled mathematicians for centuries, until the Indian scientist Bhaskara had provided some light. He had proved that zero divided by zero nor one, but infinity. The student was Srinivasa Ramanujan, the genius who introduced the concept of zero to the world.

LIFE OF SRINIVASA RAMANUJAN

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 residence of his maternal grandparents. His father, K. Srinivasa Iyengar, worked as a clerk in a sari shop and hailed from the district of Thanjavur. His mother, Komalatammal, was a housewife and also sang at a local temple. They lived in Sarangapani Street in a traditional home in the town of Kumbakonam. When he was nearly five years old, Ramanujan entered the primary school in Kumbakonam although he would attend several different primary schools before entering the Town High School in Kumbakonam in January 1898. At the Town High School, Ramanujan was to do well in his entire school subject and showed himself an able all round scholar. In 1900 he began to work on his own 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 elementary results in pure mathematics. This book, with its very concise style, allowed Ramanujan to teach himself mathematics, but the style of the book was to have a rather unfortunate effect on the way Ramanujan was later to write down mathematics since it provided the only model that he had of written mathematical arguments. The book contained theorems, formulae and short proofs. It also contained an index to papers on pure mathematics which had been published in the European Journals of Learned Societies during the first half of the 19th century. The book, published in 1856, was of course well out of date by the time Ramanujan used it. By 1904 Ramanujan had begun to undertake deep research. He investigated the series ∑(1/n) and calculated Euler's constant to 15 decimal places. He began to study the Bernoulli numbers, although this was entirely his own independent discovery. 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 following year his scholarship was not renewed because Ramanujan devoted more and more of his time to...
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