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Srinivasa Ramanujan

Srinivasa Ramanujan PPT prepared by M Padma Lalitha Sharada for High School Children on occasion of his Birth Day which is being celebrating as "National Mathematics Day".

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Srinivasa Ramanujan

  1. 1. Srinivasa Aiyangar Ramanujan PPT by M PADMA LALITHA SHARADA
  2. 2. Born: 22 December 1887 in Erode, Tamil Nadu state, India
  3. 3. The decision to designate the year 2012 as National Mathematics Year was announced by Dr Manmohan Singh, Prime Minister of India (at that time), during the inaugural ceremony of the celebrations to mark the 125th birth anniversary of Srinivasa Ramanujan held at the Madras University Centenary Auditorium on 26 February 2012. The Prime Minister also announced that December 22 would be celebrated as National Mathematics Day from 2012 onwards.
  4. 4. In 1900 he began to work on his own on mathematics summing geometric and arithmetic series.
  5. 5. The sum of N odd integers starting after the previous series equals N cubed.
  6. 6. The cube which fits perfectly inside this structure is, of course, 6.6.6, or 216 - the triangular outline of Genesis 1:1!
  7. 7. Ramanujan was shown how to solve cubic equations in 1902 and he went on to find his own method to solve the quartic. The following year, not knowing that the quintic could not be solved by radicals, he tried (and of course failed) to solve the quintic.
  8. 8. 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.
  9. 9. 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.
  10. 10. He married on 14 July 1909 when his mother arranged for him to marry a ten year old girl S Janaki Ammal. Janaki Ammal His Mother With his wife Janaki
  11. 11. Ramanujan continued to develop his mathematical ideas and began to pose problems and solve problems in the Journal of the Indian Mathematical Society. He devoloped relations between elliptic modular equations in 1910.
  12. 12. After publication of a brilliant research paper on Bernoulli numbers in 1911 in the Journal of the Indian Mathematical Society he gained recognition for his work.
  13. 13. Indeed the University of Madras did give Ramanujan a scholarship in May 1913 for two years and, in 1914, Hardy brought Ramanujan to Trinity College, Cambridge, to begin an extraordinary collaboration. with friends at Trinity College Trinity College, Cambridge
  14. 14. Right from the start Ramanujan's collaboration with Hardy led to important results. On 16 March 1916 Ramanujan graduated from Cambridge with a Bachelor of Science by Research (the degree was called a Ph.D. from 1920). Hardy
  15. 15. Ramanujan's dissertation was on Highly composite numbers and consisted of seven of his papers published in England.
  16. 16. On 18 February 1918 Ramanujan was elected a fellow of the Cambridge Philosophical Society and then three days later, the greatest honour that he would receive, his name appeared on the list for election as a fellow of the Royal Society of London. Royal Society of London
  17. 17. His election as a fellow of the Royal Society was confirmed on 2 May 1918, then on 10 October 1918 he was elected a Fellow of Trinity College Cambridge, the fellowship to run for six years. His rare photo His formulae & Identities
  18. 18. Ramanujan worked out the Riemann series, the elliptic integrals, hypergeometric series and functional equations of the zeta function.
  19. 19. Ramanujan independently discovered results of Gauss, Kummer and others on hypergeometric series. Ramanujan's own work on partial sums and products of hypergeometric series have led to major development in the topic.
  20. 20. In a joint paper with Hardy, Ramanujan gave an asymptotic formula for p(n). It had the remarkable property that it appeared to give the correct value of p(n).
  21. 21. Srinivasa Ramanujan’s Magic Square prepared by him is really amazing. Sum of any row as well as sum of any column in this square is 139. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  22. 22. Sum of any diagonal of this Ramanujan’s magic square is also 139. Sum of corner numbers also 139. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  23. 23. Sum of identical coloured boxes is also 139 in our Ramanujan’s Magic Square. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  24. 24. Sum of Central squares of our Ramnujan’s Magic Square is also 139. We also have sums of identical colored small squares as 139. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  25. 25. We have two more combinations whose sums are also 139 which are given in identical colours. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  26. 26. This magic square is based on our great Indian Mathematician Srinivasa Ramanujan’s Date of Birth 22.12. 1987. PROUD TO BE AN an INDIAN.
  27. 27. A TRIBUTE to great Mathematician SRINIVASA RAMANUJAN THANK YOU ONE & ALL - Sharada

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Srinivasa Ramanujan PPT prepared by M Padma Lalitha Sharada for High School Children on occasion of his Birth Day which is being celebrating as "National Mathematics Day".

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