(1) 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 in pure mathematics. (2) He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age, mastering advanced mathematical concepts including trigonometry at age 13. (3) Ramanujan received recognition for his genius and was invited to study at Trinity College, Cambridge in England. However, he struggled with the climate and culture in England and his health declined, and he ultimately returned to India where he passed away in 1920 at the young age of 32.

1. KENDRIYA VIDYALAYA

2. SRINIVASA IYANGAR RAMANUJAN’S
LIFE AND HIS GENIUS
1887-1920
2

3.  Born 22 December 1887
Erode, Madras Presidency
 Died 26 April 1920 (aged 32)
Chetput,Madras Presidency

4. o Father : Kuppuswamy Srinivasa Iyengar,
a clerical assistant (Gumastha)
to a cloth merchant
o Mother: Komalatammal, was a housewife

6. Srinivasa Ramanujan Said:
6

7. Srinivasa Ramanujan is known as an
all-time great Indian Mathematician
Born on 22 nd
December
1887,Erode,
Tamilnadu, India
7

8. 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!
A thought of 7 years Old
Ramanujan
8

9. 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.
9

10. 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 .
10

11.  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.
11

12. 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.
12

13. 13

14. SRINIVASA RAMANUJAN
AND HIS MAGIC
SQUARE
14

15. RAMANUJAN’S MAGIC SQUARE
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?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
15

16. 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.?
RAMANUJAN’S MAGIC SQUARE
16

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

18. 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

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

20. RAMANUJAN’S MAGIC SQUARE
Look at
these
possibilities.
Sum of
identical
coloured
boxes is also
139.
Interesting..?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
20

21. RAMANUJAN’S MAGIC SQUARE
Look at
these
possibilities.
Sum of
identical
coloured
boxes is also
139.
Interesting..?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
21

22. 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

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

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

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

26. 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 .....
     
    
     
       
    
     
Ramanujan himself supplied the solution to
the problem
26

27. 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.”
27

28. Srinivasa Ramanujan at
Trinity college,Cambridge
28

29. • 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.
29

30. 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
30

31. CONTRIBUTION TO THE THEOREY OF
PARTITIONS
• A partition of a
natural number ‘n’
is a sequence of
non-decreasing
positive integers
whose sum is ‘n’.
N No. of PARTITIONS
1 1
2 2
3 3
4 5
5 7
6 11
31

32. The highest highly composite number listed
by Ramanujan is 6746328388800
Having 10080 factors
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
32

33. The last three Books of Ramanujan
33

34. Calculations of Ramanujan in his own
handwriting
34

35. Mock Theta Functions
35

36. 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.
36

37. We Miss a Great Mathmatician
• 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
nadu)
37

38. 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 day”
to be celebrated every year
38

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