Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a strong aptitude for mathematics from a young age, teaching himself advanced mathematical concepts from books. Despite facing health and financial issues that prevented him from attending university, he gained recognition for his brilliant work on mathematical theories and continued to make significant contributions on his own.

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4.  Srinivasa Ramanujan better known as Srinivasa Iyengar
Ramanujan was one of India's greatest mathematical
genius. Ramanujan was born in his grandmother's 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 merchant's shop.

5.  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

6. 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 .

7.  In 1906 Ramanujan went to Madras where he entered
Pachaiyappa's 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
Pachaiyappa's 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.

8.  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.

9.  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.

10.  Ramanujan and Hardy arrived at Ramanujan's residence in a cab
numbered 1729.
 Hardy commented that the number 1729 seemed to be uninteresting.
 Ramanujan said it is actually a very interesting number
mathematically .
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12. SRINIVASA RAMANUJAN
AND HIS MAGIC SQUARE

13. 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 of our
country – Srinivasa
Ramanujan.
What is so great in it?

14. 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 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
column is also 139.
Oh, this will be there in any
magic square.
What is 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
diagonal is also 139.
Oh, this also 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 corner numbers is
also 139.
Interesting?

18. 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 coloured
boxes 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 coloured
boxes is also 139.
Interesting..?

20. RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
NOW
LETS FACE THE
CLIMAX

21. RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Do you know date of birth
of Srinivasa Ramanujan?

22. 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.

23. 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
BE A PROUD INDIAN

24.  1906-1912 Ramanujan continued noting down his
results on loose leaf papers
 Published three note books of pages 212, 352 and
33 (1967).
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CONTRIBUTION’S OF RAMANUJAN IN
DIFFERENT AREAS OF MATHEMATICS
 Magic Squares,
 Sums of Series,
 Combinational Analysis,
 Polynomials,
 Number Theory,
 Analogues of Gamma Functions,
 Continued Fractions
 Elliptic integrals
 Highly composite numbers
 Properties of primes.

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