SlideShare a Scribd company logo
1 of 41
02/23/13   Source:   Confidential   1
SRINIVASA IYANGAR RAMANUJAN’S
            LIFE AND HIS GENIUS




 02/23/13
                  1887-1920
Srinivasa Ramanujan Said:




02/23/13         Source:   Confidential   3
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
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
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
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 .
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
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
02/23/13   Confidential   10
SRINIVASA RAMANUJAN



            AND HIS MAGIC
               SQUARE
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?
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
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
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
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
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
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
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
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
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
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
.


           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
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
Srinivasa Ramanujan at
           Trinity college,Cambridge

02/23/13             Source:      Confidential   25
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
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
Largest known similar
                number is
               885623890831
                      =75113 +77303


              =87593+59783
    Ramanujan was indeed a
      friend of numbers.
02/23/13              Source:   Confidential   28
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
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
The last three Books of Ramanujan




02/23/13           Source:     Confidential   31
Calculations of Ramanujan in his
         own handwriting




02/23/13         Source:    Confidential   32
02/23/13   Source:   Confidential   33
02/23/13   Source:   Confidential   34
02/23/13   Source:   Confidential   35
Mock Theta Functions




02/23/13             Source:   Confidential   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.
02/23/13
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
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
Prepared
                   by
           Charan Kumar
              Ganteda
             Mathematics
             KL UNIVERSITY



02/23/13                     40
02/23/13   Source:   Confidential   41

More Related Content

What's hot

Srinivasa ramanujan works
Srinivasa ramanujan worksSrinivasa ramanujan works
Srinivasa ramanujan worksVignesh Sanju
 
Srinivasa ramanujam
Srinivasa ramanujam Srinivasa ramanujam
Srinivasa ramanujam shiva prasad
 
Srinivasa ramanujan.ppt
Srinivasa ramanujan.pptSrinivasa ramanujan.ppt
Srinivasa ramanujan.pptAbhaya Gupta
 
Ramanujan a great mathematician
Ramanujan a great mathematicianRamanujan a great mathematician
Ramanujan a great mathematician9779563030
 
Srinivasa Ramunujan
Srinivasa RamunujanSrinivasa Ramunujan
Srinivasa RamunujanArnav Gosain
 
Ramanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew InfinityRamanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew InfinityAyushi Gupta
 
Srinivasa Ramanujan Date Of Birth 22.12.1887
Srinivasa Ramanujan Date Of Birth 22.12.1887Srinivasa Ramanujan Date Of Birth 22.12.1887
Srinivasa Ramanujan Date Of Birth 22.12.1887Padma Lalitha
 
Sreenivasa ramanujan1
Sreenivasa ramanujan1Sreenivasa ramanujan1
Sreenivasa ramanujan1devi devi
 
Significant contribution of indian mathematicians
Significant contribution of indian mathematiciansSignificant contribution of indian mathematicians
Significant contribution of indian mathematiciansSAIVARSHINE
 
Srinivasa ramanujan
Srinivasa ramanujanSrinivasa ramanujan
Srinivasa ramanujannaveen
 
Great indian mathmatician -srinivasan ramanujan
Great indian mathmatician -srinivasan ramanujanGreat indian mathmatician -srinivasan ramanujan
Great indian mathmatician -srinivasan ramanujanMahip Singh
 
Srinivasa ramanujan-503
Srinivasa ramanujan-503Srinivasa ramanujan-503
Srinivasa ramanujan-503mahes3231
 
PPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanPPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanDEV YADAV
 

What's hot (20)

Srinivasa ramanujan works
Srinivasa ramanujan worksSrinivasa ramanujan works
Srinivasa ramanujan works
 
Srinivasa ramanujam
Srinivasa ramanujam Srinivasa ramanujam
Srinivasa ramanujam
 
Srinivasa Ramanujan
Srinivasa RamanujanSrinivasa Ramanujan
Srinivasa Ramanujan
 
Srinivasa ramanujan.ppt
Srinivasa ramanujan.pptSrinivasa ramanujan.ppt
Srinivasa ramanujan.ppt
 
Ramanujan a great mathematician
Ramanujan a great mathematicianRamanujan a great mathematician
Ramanujan a great mathematician
 
Srinivasa Ramunujan
Srinivasa RamunujanSrinivasa Ramunujan
Srinivasa Ramunujan
 
Srinivasa ramanujan
Srinivasa ramanujanSrinivasa ramanujan
Srinivasa ramanujan
 
Ramanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew InfinityRamanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew Infinity
 
Srinivasaramanujan a reminiscence 3
Srinivasaramanujan a reminiscence 3Srinivasaramanujan a reminiscence 3
Srinivasaramanujan a reminiscence 3
 
Srinivasa Ramanujan Date Of Birth 22.12.1887
Srinivasa Ramanujan Date Of Birth 22.12.1887Srinivasa Ramanujan Date Of Birth 22.12.1887
Srinivasa Ramanujan Date Of Birth 22.12.1887
 
Sreenivasa ramanujan1
Sreenivasa ramanujan1Sreenivasa ramanujan1
Sreenivasa ramanujan1
 
Contributions of s.ramanujan in mathematics
Contributions of s.ramanujan in mathematicsContributions of s.ramanujan in mathematics
Contributions of s.ramanujan in mathematics
 
Significant contribution of indian mathematicians
Significant contribution of indian mathematiciansSignificant contribution of indian mathematicians
Significant contribution of indian mathematicians
 
Ramanujan
RamanujanRamanujan
Ramanujan
 
Srinivasa ramanujan
Srinivasa ramanujanSrinivasa ramanujan
Srinivasa ramanujan
 
Srinivasa Ramanujan
Srinivasa RamanujanSrinivasa Ramanujan
Srinivasa Ramanujan
 
Great indian mathmatician -srinivasan ramanujan
Great indian mathmatician -srinivasan ramanujanGreat indian mathmatician -srinivasan ramanujan
Great indian mathmatician -srinivasan ramanujan
 
Srinivasa ramanujan-503
Srinivasa ramanujan-503Srinivasa ramanujan-503
Srinivasa ramanujan-503
 
PPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanPPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujan
 
Indian mathematician.
Indian mathematician.Indian mathematician.
Indian mathematician.
 

Viewers also liked

Python Programming Language | Python Classes | Python Tutorial | Python Train...
Python Programming Language | Python Classes | Python Tutorial | Python Train...Python Programming Language | Python Classes | Python Tutorial | Python Train...
Python Programming Language | Python Classes | Python Tutorial | Python Train...Edureka!
 
Brochure congreso andino
Brochure congreso andinoBrochure congreso andino
Brochure congreso andinoelcontact.com
 
Charless babbage
Charless babbageCharless babbage
Charless babbagesaiabhishek
 
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...Blake Morgan
 
Basics of c++ Programming Language
Basics of c++ Programming LanguageBasics of c++ Programming Language
Basics of c++ Programming LanguageAhmad Idrees
 

Viewers also liked (6)

Python Programming Language | Python Classes | Python Tutorial | Python Train...
Python Programming Language | Python Classes | Python Tutorial | Python Train...Python Programming Language | Python Classes | Python Tutorial | Python Train...
Python Programming Language | Python Classes | Python Tutorial | Python Train...
 
Brochure congreso andino
Brochure congreso andinoBrochure congreso andino
Brochure congreso andino
 
Charless babbage
Charless babbageCharless babbage
Charless babbage
 
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...
Blake Lapthorn Construction green breakfast - 5th Studio presentation - 20 Ma...
 
Cemtobent detail int.
Cemtobent detail int.Cemtobent detail int.
Cemtobent detail int.
 
Basics of c++ Programming Language
Basics of c++ Programming LanguageBasics of c++ Programming Language
Basics of c++ Programming Language
 

Similar to Srinivasa ramanujan

Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Ranjitha Nicole
 
History of ramanujan's and his contributions in mathematics by, sandeep
History of ramanujan's and his contributions in mathematics by, sandeepHistory of ramanujan's and his contributions in mathematics by, sandeep
History of ramanujan's and his contributions in mathematics by, sandeepsandeep kumar singu
 
Mathematician ramanujan's square
Mathematician ramanujan's squareMathematician ramanujan's square
Mathematician ramanujan's squareKumaravel Jothi
 
S ramanujan
S ramanujanS ramanujan
S ramanujandevacse
 
S ramanujan
S ramanujanS ramanujan
S ramanujanSurya N
 
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!SARAVANAN ARUMUGAM
 
Srinivasan ramanujan's magic square
Srinivasan ramanujan's magic squareSrinivasan ramanujan's magic square
Srinivasan ramanujan's magic squareNikhil Dhiman
 
Ramanujan magic-square
Ramanujan magic-squareRamanujan magic-square
Ramanujan magic-squareelderprincess
 
Srinivasa Ramanujan
Srinivasa Ramanujan Srinivasa Ramanujan
Srinivasa Ramanujan Kavyaprahal
 
Srinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareSrinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareNitin Chhaperwal
 

Similar to Srinivasa ramanujan (20)

Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01
 
History of ramanujan's and his contributions in mathematics by, sandeep
History of ramanujan's and his contributions in mathematics by, sandeepHistory of ramanujan's and his contributions in mathematics by, sandeep
History of ramanujan's and his contributions in mathematics by, sandeep
 
Ramanujan.ppt
Ramanujan.pptRamanujan.ppt
Ramanujan.ppt
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
Mathematician ramanujan's square
Mathematician ramanujan's squareMathematician ramanujan's square
Mathematician ramanujan's square
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
Srinivas Ramanujan
Srinivas RamanujanSrinivas Ramanujan
Srinivas Ramanujan
 
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!
Srinivasa Ramanujan's Magic Square Miracle Unleashed....!!!
 
Srinivasan ramanujan's magic square
Srinivasan ramanujan's magic squareSrinivasan ramanujan's magic square
Srinivasan ramanujan's magic square
 
Ramanujan magic-square
Ramanujan magic-squareRamanujan magic-square
Ramanujan magic-square
 
Maths ramanujan
Maths ramanujanMaths ramanujan
Maths ramanujan
 
Srinivasa Ramanujan
Srinivasa Ramanujan Srinivasa Ramanujan
Srinivasa Ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
Mathematicion RAMANUJAN
Mathematicion RAMANUJANMathematicion RAMANUJAN
Mathematicion RAMANUJAN
 
Srinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareSrinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic square
 

Recently uploaded

4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptxmary850239
 
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYKayeClaireEstoconing
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Celine George
 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Celine George
 
Science 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxScience 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxMaryGraceBautista27
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxiammrhaywood
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4MiaBumagat1
 
Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)cama23
 
FILIPINO PSYCHology sikolohiyang pilipino
FILIPINO PSYCHology sikolohiyang pilipinoFILIPINO PSYCHology sikolohiyang pilipino
FILIPINO PSYCHology sikolohiyang pilipinojohnmickonozaleda
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfErwinPantujan2
 
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxCulture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxPoojaSen20
 
Transaction Management in Database Management System
Transaction Management in Database Management SystemTransaction Management in Database Management System
Transaction Management in Database Management SystemChristalin Nelson
 
Earth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatEarth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatYousafMalik24
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPCeline George
 
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...Postal Advocate Inc.
 
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfAMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfphamnguyenenglishnb
 
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfLike-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfMr Bounab Samir
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSJoshuaGantuangco2
 

Recently uploaded (20)

FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptxFINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
FINALS_OF_LEFT_ON_C'N_EL_DORADO_2024.pptx
 
4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx4.16.24 21st Century Movements for Black Lives.pptx
4.16.24 21st Century Movements for Black Lives.pptx
 
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITYISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
ISYU TUNGKOL SA SEKSWLADIDA (ISSUE ABOUT SEXUALITY
 
Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17Difference Between Search & Browse Methods in Odoo 17
Difference Between Search & Browse Methods in Odoo 17
 
Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17Field Attribute Index Feature in Odoo 17
Field Attribute Index Feature in Odoo 17
 
Science 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptxScience 7 Quarter 4 Module 2: Natural Resources.pptx
Science 7 Quarter 4 Module 2: Natural Resources.pptx
 
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptxECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
ECONOMIC CONTEXT - PAPER 1 Q3: NEWSPAPERS.pptx
 
ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4ANG SEKTOR NG agrikultura.pptx QUARTER 4
ANG SEKTOR NG agrikultura.pptx QUARTER 4
 
Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)Global Lehigh Strategic Initiatives (without descriptions)
Global Lehigh Strategic Initiatives (without descriptions)
 
FILIPINO PSYCHology sikolohiyang pilipino
FILIPINO PSYCHology sikolohiyang pilipinoFILIPINO PSYCHology sikolohiyang pilipino
FILIPINO PSYCHology sikolohiyang pilipino
 
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdfVirtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
Virtual-Orientation-on-the-Administration-of-NATG12-NATG6-and-ELLNA.pdf
 
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptxCulture Uniformity or Diversity IN SOCIOLOGY.pptx
Culture Uniformity or Diversity IN SOCIOLOGY.pptx
 
Transaction Management in Database Management System
Transaction Management in Database Management SystemTransaction Management in Database Management System
Transaction Management in Database Management System
 
Earth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice greatEarth Day Presentation wow hello nice great
Earth Day Presentation wow hello nice great
 
How to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERPHow to do quick user assign in kanban in Odoo 17 ERP
How to do quick user assign in kanban in Odoo 17 ERP
 
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
USPS® Forced Meter Migration - How to Know if Your Postage Meter Will Soon be...
 
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdfAMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
AMERICAN LANGUAGE HUB_Level2_Student'sBook_Answerkey.pdf
 
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptxYOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
YOUVE_GOT_EMAIL_PRELIMS_EL_DORADO_2024.pptx
 
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdfLike-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
Like-prefer-love -hate+verb+ing & silent letters & citizenship text.pdf
 
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTSGRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
GRADE 4 - SUMMATIVE TEST QUARTER 4 ALL SUBJECTS
 

Srinivasa ramanujan

  • 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