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Welcome
To all!
Prepared by
Sandeep
Lecturer in
mathematics
History of Ramanujan’s
And his contributions
SRINIVASA IYANGAR
RAMANUJAN
1887-1920
 Born on 22, December, 1887
Erode,Tamilnadu,India.
 One day a primary School teacher was telling to his
students ‘If three fruits are divided among three
persons, each would get one , even would get one ,
even if 1000 fruits are divided among 1000 persons
each would get one ‘. Thus , generalized that any
number divided by itself was unity . This Made a child
of that class jump and ask- ‘ is zero divided by zero
also unity?’ If no fruits are divided nobody , will each
get one? This little boy was none other than
RAMANUJAN .
A thought of 7 years Old
Ramanujan’s
 At the age of 12, he was declared
“CHILD MATHEMATICIAN” by his
teachers.
RAMANUJAN’S HIGH SCHOOL ,IN
KUMBAKONAM
 He was married with a nine
year old girl named Janaki
Aammal,when he was 22.
He was invited to England to
improve his works by G.H.Hardy
and J.E Littlewoods, who were
great mathematicians.
He was the first elected
Mathematician from India to the
London Mathematical society
and he became a Fellow of the
Royal society.
In 1916, got Hon. B.A.(PhD) Degree of
University of Cambridge.
 6.12.1917 – Elected to London
Mathematical Society
 Became a ‘Fellow of The Royal
Society’ in 1918
 Became the first Indian to be
elected a Fellow of Trinity College,
Cambridge
Ramanujan himself supplied the solution to
the problem
It is continues
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
This square looks like
any other normal magic
square. But this is
formed by great
mathematician,
Srinivasa Ramanujan.
……….
What is so great in it?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of numbers of
any row is 139.
………….
What so great in it?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of numbers of any
column is also 139.
Oh, this will be there in any
magic square.
What is so great in it..?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of numbers of any
diagonal is also 139.
Oh, this also will be there in
any magic square.
What is so great in it…?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of corner numbers
is also 139.
Interesting?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Look at these
possibilities. Sum of
identical colored boxes
is also 139.
Interesting..?
RAMANUJAN’S MAGIC SQUARE
Look at these
possibilities. Sum of
identical colored boxes
is also 139.
Interesting..?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Look at these central
squares.
Interesting…?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of identical colored
boxes is 139.
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of colored boxes is
139.
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
It is 22nd Dec 1887.
Yes. It is 22.12.1887
1. Ramanujan and Hardy
arrived at Ramanujan’s
residence in a cab number
1729.
Hardy commented that the
number 1729 seemed to be
uninteresting.
Ramanujan said that it is a
very interesting mathematical
number.
The smallest natural number can be
represented in two different ways as
a sum of two cubes:
1729 =13 +123
=93 +103
It is also incidentally the product of
three prime numbers
 Srinivasa Ramanujan
died April 26, 1920 .
We Miss a Great Mathematician
Recognition by Govt.of India
The Ex. Prime Minister of India, Dr.
Manmohan Singh has declared the
year 2012 as the “National
Mathematical Year” and the date
December 22, being the birthday of
Srinivasa Ramanujan has been
declared as the
“National Mathematics day” to be
celebrated every year
 Ramanujan's home state of Tamil
Nadu celebrates 22 December
(Ramanujan's birthday) as 'State IT Day',
Stamp on Ramanujan’s was released by
the govt.of India in 1962.
Calculations of Ramanujan in his
own handwriting
Calculations of Ramanujan in his
own handwriting
Thank you
for
Watching!

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Ramanujan's magic square sums

  • 3. History of Ramanujan’s And his contributions
  • 5.  Born on 22, December, 1887 Erode,Tamilnadu,India.
  • 6.  One day a primary School teacher was telling to his students ‘If three fruits are divided among three persons, each would get one , even would get one , even if 1000 fruits are divided among 1000 persons each would get one ‘. Thus , generalized that any number divided by itself was unity . This Made a child of that class jump and ask- ‘ is zero divided by zero also unity?’ If no fruits are divided nobody , will each get one? This little boy was none other than RAMANUJAN . A thought of 7 years Old Ramanujan’s
  • 7.  At the age of 12, he was declared “CHILD MATHEMATICIAN” by his teachers.
  • 8. RAMANUJAN’S HIGH SCHOOL ,IN KUMBAKONAM
  • 9.  He was married with a nine year old girl named Janaki Aammal,when he was 22.
  • 10. He was invited to England to improve his works by G.H.Hardy and J.E Littlewoods, who were great mathematicians. He was the first elected Mathematician from India to the London Mathematical society and he became a Fellow of the Royal society.
  • 11. In 1916, got Hon. B.A.(PhD) Degree of University of Cambridge.
  • 12.  6.12.1917 – Elected to London Mathematical Society  Became a ‘Fellow of The Royal Society’ in 1918  Became the first Indian to be elected a Fellow of Trinity College, Cambridge
  • 13. Ramanujan himself supplied the solution to the problem It is continues
  • 14. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 This square looks like any other normal magic square. But this is formed by great mathematician, Srinivasa Ramanujan. ………. What is so great in it?
  • 15. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any row is 139. …………. What so great in it?
  • 16. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any column is also 139. Oh, this will be there in any magic square. What is so great in it..?
  • 17. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any diagonal is also 139. Oh, this also will be there in any magic square. What is so great in it…?
  • 18. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of corner numbers is also 139. Interesting?
  • 19. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Look at these possibilities. Sum of identical colored boxes is also 139. Interesting..?
  • 20. RAMANUJAN’S MAGIC SQUARE Look at these possibilities. Sum of identical colored boxes is also 139. Interesting..? 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  • 21. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Look at these central squares. Interesting…?
  • 22. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of identical colored boxes is 139.
  • 23. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of colored boxes is 139.
  • 24. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 It is 22nd Dec 1887. Yes. It is 22.12.1887
  • 25. 1. Ramanujan and Hardy arrived at Ramanujan’s residence in a cab number 1729. Hardy commented that the number 1729 seemed to be uninteresting. Ramanujan said that it is a very interesting mathematical number.
  • 26. The smallest natural number can be represented in two different ways as a sum of two cubes: 1729 =13 +123 =93 +103 It is also incidentally the product of three prime numbers
  • 27.  Srinivasa Ramanujan died April 26, 1920 . We Miss a Great Mathematician
  • 28. Recognition by Govt.of India The Ex. Prime Minister of India, Dr. Manmohan Singh has declared the year 2012 as the “National Mathematical Year” and the date December 22, being the birthday of Srinivasa Ramanujan has been declared as the “National Mathematics day” to be celebrated every year
  • 29.  Ramanujan's home state of Tamil Nadu celebrates 22 December (Ramanujan's birthday) as 'State IT Day', Stamp on Ramanujan’s was released by the govt.of India in 1962.
  • 30. Calculations of Ramanujan in his own handwriting
  • 31. Calculations of Ramanujan in his own handwriting