Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He displayed remarkable talent and intuition for mathematical theories from a young age. Ramanujan received recognition after being invited to work with professor G.H. Hardy at Trinity College, Cambridge. Although he struggled with poor health in England, Ramanujan produced groundbreaking mathematical research and formulas before passing away at a young age in 1920. He is regarded as one of the greatest mathematicians and his contributions continue to have an impact.

1. 02/23/13 Source: Confidential 1

2. SRINIVASA IYANGAR RAMANUJAN’S
LIFE AND HIS GENIUS
02/23/13
1887-1920

3. Srinivasa Ramanujan Said:
02/23/13 Source: Confidential 3

4. Srinivasa Ramanujan is
known as an all-time great
Indian Mathematician
Born on 22 nd
December 1887,Erode,
Tamilnadu, India
02/23/13 Source: Confidential 4

5. A thought of 7 years Old
Ramanujan
Once his teacher said that when
zero is divided by any number,
the result is zero, Ramanujan
immediately asked his teacher,
whether zero divided by zero
gives zero; This shows early
signs of his genius!
02/23/13 Sour Confidential 5

6. SCHOOL EDUCATION
Passed primary examination and
Stood first in the district at
Town high school-Kumbakonam
(1898).
Mastered advanced trigonometry
written by S. L. Loney at the age of
13 years.
02/23/13 Source: Confidential 6

7. Adulthood
 He was a self-taught Mathematician.
 He was really good at Maths so when
he took his exam, he passed in Maths,
but failed in other subjects because of
his disinterest. So , he couldn’t enter
the university of Madras for further
studies.
 He was married with a nine years old
girl named Janaki Ammal, when he
was 22 but he did not live with his wife
till she reached the age of 12.
 Since he showed extraordinary talent
by himself, people around him helped
to take his achievements known to the
other Internationally renowned
mathematicians .

8. He was invited to England to
improve his works by G.H.Hardy
and J.E Littlewood, who were
great mathematicians.
Hardy and Ramanujan had two
opposite personalities. As Hardy
was an atheist and believes
mathematical proof and analysis,
Ramanujan was a deeply
religious guy and he believed in
his trustworthy intuition .
He was the first elected
Mathematician from India to the
London Mathematical society
and he became a Fellow of the
Royal society.
02/23/13 Source: Confidential 8

9. Recognition of his
Genius
Initially, G. H. Hardy
thought that the works of
Ramanujan were fraud
because most of them were
impossible to believe. But
eventually ,they were
convinced and interested in
his talent.
02/23/13 Source: Confidential 9

10. 02/23/13 Confidential 10

11. SRINIVASA RAMANUJAN
AND HIS MAGIC
SQUARE

12. RAMANUJAN’S MAGIC SQUARE
This square looks like
any other normal magic
22 12 18 87 square. But this is
formed by great
88 17 9 25 mathematician of our
country – Srinivasa
10 24 89 16 Ramanujan.
19 86 23 11 What is so great in it?

13. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
any row is 139.
22 12 18 87
What is so great in it.?
88 17 9 25
10 24 89 16
19 86 23 11

14. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
any column is also 139.
22 12 18 87
Oh, this will be there in
any magic square.
88 17 9 25
What is so great in it..?
10 24 89 16
19 86 23 11

15. RAMANUJAN’S MAGIC SQUARE
Sum of numbers of
any diagonal is also
22 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

16. RAMANUJAN’S MAGIC SQUARE
Sum of corner
numbers is also 139.
22 12 18 87
Interesting?
88 17 9 25
10 24 89 16
19 86 23 11

17. RAMANUJAN’S MAGIC SQUARE
Look at these
possibilities. Sum of
22 12 18 87 identical coloured
boxes is also 139.
88 17 9 25
Interesting..?
10 24 89 16
19 86 23 11

18. RAMANUJAN’S MAGIC SQUARE
Look at these
possibilities. Sum of
22 12 18 87 identical coloured
boxes is also 139.
88 17 9 25
Interesting..?
10 24 89 16
19 86 23 11

19. RAMANUJAN’S MAGIC SQUARE
Look at these central
squares.
22 12 18 87
Interesting…?
88 17 9 25
10 24 89 16
19 86 23 11

20. RAMANUJAN’S MAGIC SQUARE
Can you try these
combinations?
22 12 18 87
Interesting…..?
88 17 9 25
10 24 89 16
19 86 23 11

21. RAMANUJAN’S MAGIC SQUARE
Try these
combinations also?
22 12 18 87
Interesting.…..?
88 17 9 25
10 24 89 16
19 86 23 11

22. RAMANUJAN’S MAGIC SQUARE
It is 22nd Dec 1887.
22 12 18 87
Yes. It is 22.12.1887
88 17 9 25
10 24 89 16 BE A PROUD
INDIAN
19 86 23 11

23. .
Ramanujan himself supplied
the solution to the problem
3 = 9 = 1 +8 = 1 +2.4 =
1 +2 16 = 1 +2 1 +15 =
1 +2 1 +3.5 = 1 +2 1 +3 25 =
1 +2 1 +3 1 +24 = 1 +2 1 +3 1 +4.6 =
1 +2 1 +3 1 +4 1 +35 =..........
= 1 +2 1 +3 1 +4 1 +5 1 +.....
02/23/13 Source: Confidential 23

24. Deplorable Condition of
Ramanujan
“When food is the problem,
how can I find money for
paper? I may require four
reams of paper every month.”
02/23/13 Source: Confidential 24

25. Srinivasa Ramanujan at
Trinity college,Cambridge
02/23/13 Source: Confidential 25

26. Ramanujan and Hardy
arrived at Ramanujan’s
residence in a cab
number 1729.
Hardy commented that
the number 1729 seemed
to be unintresting.
Ramanujan said that it is
a very intresting
mathematical number.
02/23/13 Source: Confidential 26

27. 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
02/23/13 Source: Confidential 27

28. Largest known similar
number is
885623890831
=75113 +77303
=87593+59783
Ramanujan was indeed a
friend of numbers.
02/23/13 Source: Confidential 28

29. CONTRIBUTION TO THE
THEOREY OF PARTITIONS
A partition of N No. of
a natural PARTITIONS
number ‘n’ is a 1 1
sequence of 2 2
3 3
non- 4 5
decreasing 5 7
positive 6 11
integers whose
sum is ‘n’.
02/23/13 Source: Confidential 29

30. Example:
For N=4,PARTITIONS are
4=4
=1+3
=2+2
=1+1+2
=1+1+1+1
P(4)=5,Whether P is a partition function
The highest highly composite
number listed by Ramanujan is
6746328388800
Having 10080 factors
02/23/13 Source: Confidential 30

31. The last three Books of Ramanujan
02/23/13 Source: Confidential 31

32. Calculations of Ramanujan in his
own handwriting
02/23/13 Source: Confidential 32

33. 02/23/13 Source: Confidential 33

34. 02/23/13 Source: Confidential 34

35. 02/23/13 Source: Confidential 35

36. Mock Theta Functions
02/23/13 Source: Confidential 36

37. TOUGH LIFE IN ENGLAND
Pure vegetarian meals was not
available.
Too busy with calculations
and very often neglected food
and spent till late night.
The cold and damp climate
disturbed his health.
He was attacked by
Tuberculosis.
He returned to India.
02/23/13

38. We Miss a Great
Mathematician
Ramanujan sailed to
Indian on 27 february 1919
and arrived on 13 march
However his health was
very poor.
He passed away on 26th
April 1920 at
Kumbakonam(Tamil naidu)
02/23/13 Source: Confidential 38

39. Recognition by Govt.of
India
The 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
02/23/13 Source: Confidential 39

40. Prepared
by
Charan Kumar
Ganteda
Mathematics
KL UNIVERSITY
02/23/13 40

41. 02/23/13 Source: Confidential 41