   Srinivasa Ramanujan better known as Srinivasa Iyengar    Ramanujan was one of Indias greatest mathematical genius.    ...
   When he was nearly five years old, Ramanujan entered the primary    school in Kumbakonam although he would attend seve...
 Ramanujan,    on the strength of his good school work, was  given a scholarship to the Government College in  Kumbakonam...
   In 1906 Ramanujan went to Madras where he entered    Pachaiyappas College. His aim was to pass the First    Arts exami...
   He married on 14 July 1909 when his mother arranged    for him to marry a ten year old girl S Janaki Ammal.    Ramanuj...
   Ramanujan showed that any big number can be written as    sum of not more than four prime numbers.   He showed that h...
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SRINIVASA RAMANUJAN           AND HIS MAGIC              SQUARE
RAMANUJAN’S MAGIC SQUARE                    This square looks like                    any other normal magic22   12   18  ...
RAMANUJAN’S MAGIC SQUARE                    Sum of numbers of                    any row is 139.22   12   18   8788   17  ...
RAMANUJAN’S MAGIC SQUARE                    Sum of numbers of                    any column is also 139.22   12   18   87 ...
RAMANUJAN’S MAGIC SQUARE                    Sum of numbers of                    any diagonal is also22   12   18   87    ...
RAMANUJAN’S MAGIC SQUARE                    Sum of corner                    numbers is also 139.22   12   18   87        ...
RAMANUJAN’S MAGIC SQUARE                    Look at these                    possibilities. Sum of22   12   18   87       ...
RAMANUJAN’S MAGIC SQUARE                    Look at these                    possibilities. Sum of22   12   18   87       ...
RAMANUJAN’S MAGIC SQUARE                    Look at these central                    squares.22   12   18   87            ...
RAMANUJAN’S MAGIC SQUARE                    Can you try these                    combinations?22   12   18   8788   17   9...
RAMANUJAN’S MAGIC SQUARE                    Try these                    combinations also?22   12   18   8788   17   9   ...
RAMANUJAN’S MAGIC SQUARE22   12   18   87                     NOW88   17   9    25                     LETS10   24   89   ...
RAMANUJAN’S MAGIC SQUARE                    Do you know date of                    birth of Srinivasa22   12   18   87    ...
RAMANUJAN’S MAGIC SQUARE                    It is 22nd Dec 1887.22   12   18   8788   17   9    2510   24   89   1619   86...
RAMANUJAN’S MAGIC SQUARE                    It is 22nd Dec 1887.22   12   18   8788   17   9    25   Yes. It is 22.12.1887...
   1906-1912 Ramanujan continued    noting down his results on loose leaf    papers   Published three note books of    p...
CONTRIBUTION’S OF RAMANUJAN IN                       DIFFERENT AREAS Magic Squares, MATHEMATICS             OF Sums of S...
January 7, 2013   27
January 7, 2013   28
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Indianmathematician 120611083748-phpapp01

  1. 1.  Srinivasa Ramanujan better known as Srinivasa Iyengar Ramanujan was one of Indias greatest mathematical genius. Ramanujan was born in his grandmothers house in Erode 22 December 1887 , a small village about 400 km southwest of Madras. His parents were K. Srinivasa Iyengar and Komalatammal. When Ramanujan was a year old his mother took him to the town of Kumbakonam, about 160 km near to Madras. His father worked in Kumbakonam as a clerk in a cloth merchants shop.
  2. 2.  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 all his school subjects 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
  3. 3.  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 mathematics and neglected his other subjects. Without money he was soon in difficulties and, without telling his parents, he ran away to the town of Vizagapatnam about 650 km north of Madras. He failed in English in Intermediate .
  4. 4.  In 1906 Ramanujan went to Madras where he entered Pachaiyappas College. His aim was to pass the First Arts examination which would allow him to be admitted to the University of Madras. He attended lectures at Pachaiyappas College but became ill after three months study. He took the First Arts examination after having left the course. He passed in mathematics but failed all his other subjects and therefore failed the examination. This meant that he could not enter the University of Madras. Continuing his mathematical work Ramanujan studied continued fractions and divergent series in 1908. At this stage he became seriously ill again and underwent an operation in April 1909 after which he took him some considerable time to recover.
  5. 5.  He married on 14 July 1909 when his mother arranged for him to marry a ten year old girl S Janaki Ammal. Ramanujan did not live with his wife, however, until she was twelve years old. Ramanujan continued to develop his mathematical ideas and began to pose problems and solve problems in the Journal of the Indian Mathematical Society. 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. Despite his lack of a university education, he was becoming well known in the Madras area as a mathematical genius.
  6. 6.  Ramanujan showed that any big number can be written as sum of not more than four prime numbers. He showed that how to divide the number into two or more squares or cubes. when Mr Litlewood came to see Ramanujan in taxi number 1729, Ramanujan said that 1729 is the smallest number which can be written in the form of sum of cubes of two numbers in two ways, i.e. 1729 = 93 + 103 = 13 + 123 since then the number 1729 is called Ramanujan’s number.
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  8. 8. 9
  9. 9. SRINIVASA RAMANUJAN AND HIS MAGIC SQUARE
  10. 10. RAMANUJAN’S MAGIC SQUARE This square looks like any other normal magic22 12 18 87 square. But this is88 17 9 25 formed by great mathematician of our10 24 89 16 country – Srinivasa Ramanujan.19 86 23 11 What is so great in it?
  11. 11. RAMANUJAN’S MAGIC SQUARE Sum of numbers of any row is 139.22 12 18 8788 17 9 25 What is so great in it.?10 24 89 1619 86 23 11
  12. 12. RAMANUJAN’S MAGIC SQUARE Sum of numbers of any column is also 139.22 12 18 87 Oh, this will be there in88 17 9 25 any magic square.10 24 89 16 What is so great in it..?19 86 23 11
  13. 13. RAMANUJAN’S MAGIC SQUARE Sum of numbers of any diagonal is also22 12 18 87 139.88 17 9 25 Oh, this also will be there in any magic square.10 24 89 16 What is so great in it…?19 86 23 11
  14. 14. RAMANUJAN’S MAGIC SQUARE Sum of corner numbers is also 139.22 12 18 87 Interesting?88 17 9 2510 24 89 1619 86 23 11
  15. 15. RAMANUJAN’S MAGIC SQUARE Look at these possibilities. Sum of22 12 18 87 identical coloured88 17 9 25 boxes is also 139. Interesting..?10 24 89 1619 86 23 11
  16. 16. RAMANUJAN’S MAGIC SQUARE Look at these possibilities. Sum of22 12 18 87 identical coloured88 17 9 25 boxes is also 139. Interesting..?10 24 89 1619 86 23 11
  17. 17. RAMANUJAN’S MAGIC SQUARE Look at these central squares.22 12 18 87 Interesting…?88 17 9 2510 24 89 1619 86 23 11
  18. 18. RAMANUJAN’S MAGIC SQUARE Can you try these combinations?22 12 18 8788 17 9 25 Interesting…..?10 24 89 1619 86 23 11
  19. 19. RAMANUJAN’S MAGIC SQUARE Try these combinations also?22 12 18 8788 17 9 25 Interesting.…..?10 24 89 1619 86 23 11
  20. 20. RAMANUJAN’S MAGIC SQUARE22 12 18 87 NOW88 17 9 25 LETS10 24 89 16 FACE19 86 23 11 THE CLIMAX
  21. 21. RAMANUJAN’S MAGIC SQUARE Do you know date of birth of Srinivasa22 12 18 87 Ramanujan?88 17 9 2510 24 89 1619 86 23 11
  22. 22. RAMANUJAN’S MAGIC SQUARE It is 22nd Dec 1887.22 12 18 8788 17 9 2510 24 89 1619 86 23 11
  23. 23. RAMANUJAN’S MAGIC SQUARE It is 22nd Dec 1887.22 12 18 8788 17 9 25 Yes. It is 22.12.188710 24 89 16 BE A PROUD19 86 23 11 INDIAN
  24. 24.  1906-1912 Ramanujan continued noting down his results on loose leaf papers Published three note books of pages 212, 352 and 33 (1967). 25
  25. 25. CONTRIBUTION’S OF RAMANUJAN IN DIFFERENT AREAS Magic Squares, MATHEMATICS OF Sums of Series, Combinational Analysis, Polynomials, Number Theory, Analogues of Gamma Functions, Continued Fractions Elliptic integrals Highly composite numbers Properties of primes. 26
  26. 26. January 7, 2013 27
  27. 27. January 7, 2013 28

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