Srinivasa ramanujan

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

Srinivasa Ramanujan is known as an all-time
great Indian Mathematician
 Born on 22 nd
 December 1887,Erode,
 Tamil Nadu, India
LIFE AND HIS GENIUS

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!

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!

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.

Adulthood
 He was a self-taught Mathematician.
 He was really good at Math so when he took
his exam, he passed in Math, 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 .

 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.

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

SRINIVASA RAMANUJAN
AND HIS MAGIC
SQUARE

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?

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.?

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

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…?

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

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..?

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

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

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

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

 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 .....
     
    
     
       
    
     

“When food is the
problem, how can I find
money for paper? I may
require four reams of
paper every month.”
 Deplorable Condition of
Ramanujan

 Srinivasa Ramanujan at
 Trinity College, Cambridge

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

Largest known similar
number is
885623890831
=75113 +77303
=87593+59783
Ramanujan was indeed a
friend of numbers.

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

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

The last three Books of Ramanujan

Calculations of Ramanujan in his own
handwriting

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.

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)
We Miss a Great
Mathematician

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

Srinivasa ramanujan

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