SlideShare a Scribd company logo
1 of 32
Welcome
To all!
Prepared by
Sandeep
Lecturer in
mathematics
History of Ramanujan’s
And his contributions
SRINIVASA IYANGAR
RAMANUJAN
1887-1920
 Born on 22, December, 1887
Erode,Tamilnadu,India.
 One day a primary School teacher was telling to his
students ‘If three fruits are divided among three
persons, each would get one , even would get one ,
even if 1000 fruits are divided among 1000 persons
each would get one ‘. Thus , generalized that any
number divided by itself was unity . This Made a child
of that class jump and ask- ‘ is zero divided by zero
also unity?’ If no fruits are divided nobody , will each
get one? This little boy was none other than
RAMANUJAN .
A thought of 7 years Old
Ramanujan’s
 At the age of 12, he was declared
“CHILD MATHEMATICIAN” by his
teachers.
RAMANUJAN’S HIGH SCHOOL ,IN
KUMBAKONAM
 He was married with a nine
year old girl named Janaki
Aammal,when he was 22.
He was invited to England to
improve his works by G.H.Hardy
and J.E Littlewoods, who were
great mathematicians.
He was the first elected
Mathematician from India to the
London Mathematical society
and he became a Fellow of the
Royal society.
In 1916, got Hon. B.A.(PhD) Degree of
University of Cambridge.
 6.12.1917 – Elected to London
Mathematical Society
 Became a ‘Fellow of The Royal
Society’ in 1918
 Became the first Indian to be
elected a Fellow of Trinity College,
Cambridge
Ramanujan himself supplied the solution to
the problem
It is continues
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,
Srinivasa Ramanujan.
……….
What is so great in it?
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 so great in it?
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..?
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…?
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?
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 colored boxes
is also 139.
Interesting..?
RAMANUJAN’S MAGIC SQUARE
Look at these
possibilities. Sum of
identical colored boxes
is also 139.
Interesting..?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
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…?
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of identical colored
boxes is 139.
RAMANUJAN’S MAGIC SQUARE
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of colored boxes is
139.
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
1. 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
 Srinivasa Ramanujan
died April 26, 1920 .
We Miss a Great Mathematician
Recognition by Govt.of India
The Ex. 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
 Ramanujan's home state of Tamil
Nadu celebrates 22 December
(Ramanujan's birthday) as 'State IT Day',
Stamp on Ramanujan’s was released by
the govt.of India in 1962.
Calculations of Ramanujan in his
own handwriting
Calculations of Ramanujan in his
own handwriting
Thank you
for
Watching!

More Related Content

What's hot

Srinivasa ramanujan.ppt
Srinivasa ramanujan.pptSrinivasa ramanujan.ppt
Srinivasa ramanujan.pptAbhaya Gupta
 
Life of ramanujan
Life of ramanujanLife of ramanujan
Life of ramanujancaddis2
 
Maths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPTMaths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPTVanshavBhalla
 
Srinivasa ramanujan works
Srinivasa ramanujan worksSrinivasa ramanujan works
Srinivasa ramanujan worksVignesh Sanju
 
Ramanujan magic-square
Ramanujan magic-squareRamanujan magic-square
Ramanujan magic-squareelderprincess
 
Srinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareSrinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareNitin Chhaperwal
 
PPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanPPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanDEV YADAV
 
Srinivasa Ramanujan A great INDIAN MATHEMATICIAN
Srinivasa Ramanujan A great INDIAN MATHEMATICIANSrinivasa Ramanujan A great INDIAN MATHEMATICIAN
Srinivasa Ramanujan A great INDIAN MATHEMATICIANSchooldays_6531
 
Talk on Ramanujan
Talk on RamanujanTalk on Ramanujan
Talk on RamanujanS Sridhar
 
Ramanujan a great mathematician
Ramanujan a great mathematicianRamanujan a great mathematician
Ramanujan a great mathematician9779563030
 
Sreenivasa ramanujan1
Sreenivasa ramanujan1Sreenivasa ramanujan1
Sreenivasa ramanujan1devi devi
 
Contributions of Sreenivasa Ramanujan
Contributions of Sreenivasa RamanujanContributions of Sreenivasa Ramanujan
Contributions of Sreenivasa RamanujanKrishna Priya. K.B.
 
Srinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
Srinivasa Ramanujan Poster (Mathematician) by Geetika WadhwaSrinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
Srinivasa Ramanujan Poster (Mathematician) by Geetika WadhwaGeetikaWadhwa
 
Indian mathematicians
Indian mathematiciansIndian mathematicians
Indian mathematiciansManu Chandran
 
Indian Mathematicians
Indian MathematiciansIndian Mathematicians
Indian Mathematiciansgeronimo101
 
Srinivasa Ramunujan
Srinivasa RamunujanSrinivasa Ramunujan
Srinivasa RamunujanArnav Gosain
 
Srinivasa Ramanujan
Srinivasa RamanujanSrinivasa Ramanujan
Srinivasa RamanujanRohan Sahu
 

What's hot (20)

Srinivasa ramanujan.ppt
Srinivasa ramanujan.pptSrinivasa ramanujan.ppt
Srinivasa ramanujan.ppt
 
Life of ramanujan
Life of ramanujanLife of ramanujan
Life of ramanujan
 
Maths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPTMaths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPT
 
Srinivasa ramanujan works
Srinivasa ramanujan worksSrinivasa ramanujan works
Srinivasa ramanujan works
 
Ramanujan magic-square
Ramanujan magic-squareRamanujan magic-square
Ramanujan magic-square
 
Srinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic squareSrinivasa Ramanujan and his magic square
Srinivasa Ramanujan and his magic square
 
PPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujanPPT ON Srinivasa ramanujan
PPT ON Srinivasa ramanujan
 
Srinivasa Ramanujan A great INDIAN MATHEMATICIAN
Srinivasa Ramanujan A great INDIAN MATHEMATICIANSrinivasa Ramanujan A great INDIAN MATHEMATICIAN
Srinivasa Ramanujan A great INDIAN MATHEMATICIAN
 
Talk on Ramanujan
Talk on RamanujanTalk on Ramanujan
Talk on Ramanujan
 
Ramanujan a great mathematician
Ramanujan a great mathematicianRamanujan a great mathematician
Ramanujan a great mathematician
 
Sreenivasa ramanujan1
Sreenivasa ramanujan1Sreenivasa ramanujan1
Sreenivasa ramanujan1
 
Contributions of Sreenivasa Ramanujan
Contributions of Sreenivasa RamanujanContributions of Sreenivasa Ramanujan
Contributions of Sreenivasa Ramanujan
 
Indian mathematician.
Indian mathematician.Indian mathematician.
Indian mathematician.
 
Srinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
Srinivasa Ramanujan Poster (Mathematician) by Geetika WadhwaSrinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
Srinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
 
Indian mathematicians
Indian mathematiciansIndian mathematicians
Indian mathematicians
 
Indian Mathematicians
Indian MathematiciansIndian Mathematicians
Indian Mathematicians
 
Srinivasa Ramunujan
Srinivasa RamunujanSrinivasa Ramunujan
Srinivasa Ramunujan
 
Indian Mathematician Bhaskara II
Indian Mathematician  Bhaskara IIIndian Mathematician  Bhaskara II
Indian Mathematician Bhaskara II
 
Srinivasa Ramanujan
Srinivasa RamanujanSrinivasa Ramanujan
Srinivasa Ramanujan
 
Ramanujan
RamanujanRamanujan
Ramanujan
 

Similar to Ramanujan's magic square sums

Srinivasa ramanujan
Srinivasa ramanujanSrinivasa ramanujan
Srinivasa ramanujannaveen
 
Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Ranjitha Nicole
 
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
 
Poster preparation.pdf
Poster preparation.pdfPoster preparation.pdf
Poster preparation.pdfArjunM99136
 
Contribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptxContribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptxSrivatsanSP1
 
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
 

Similar to Ramanujan's magic square sums (20)

Srinivasa ramanujan
Srinivasa ramanujanSrinivasa ramanujan
Srinivasa ramanujan
 
Maths ramanujan
Maths ramanujanMaths ramanujan
Maths ramanujan
 
Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01Indianmathematician 120611083748-phpapp01
Indianmathematician 120611083748-phpapp01
 
Ramanujan.ppt
Ramanujan.pptRamanujan.ppt
Ramanujan.ppt
 
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
 
Mathematicion RAMANUJAN
Mathematicion RAMANUJANMathematicion RAMANUJAN
Mathematicion RAMANUJAN
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
Powerpoint Presentation
Powerpoint PresentationPowerpoint Presentation
Powerpoint Presentation
 
Poster preparation.pdf
Poster preparation.pdfPoster preparation.pdf
Poster preparation.pdf
 
Srinivas Ramanujan
Srinivas RamanujanSrinivas Ramanujan
Srinivas Ramanujan
 
S ramanujan
S ramanujanS ramanujan
S ramanujan
 
Contribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptxContribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptx
 
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
 

Recently uploaded

How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application ) Sakshi Ghasle
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxiammrhaywood
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13Steve Thomason
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsKarinaGenton
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon AUnboundStockton
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTiammrhaywood
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docxPoojaSen20
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...EduSkills OECD
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfUmakantAnnand
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesFatimaKhan178732
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxpboyjonauth
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...M56BOOKSTORE PRODUCT/SERVICE
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)eniolaolutunde
 

Recently uploaded (20)

How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 
Hybridoma Technology ( Production , Purification , and Application )
Hybridoma Technology  ( Production , Purification , and Application  ) Hybridoma Technology  ( Production , Purification , and Application  )
Hybridoma Technology ( Production , Purification , and Application )
 
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptxSOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
SOCIAL AND HISTORICAL CONTEXT - LFTVD.pptx
 
The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13The Most Excellent Way | 1 Corinthians 13
The Most Excellent Way | 1 Corinthians 13
 
Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1Código Creativo y Arte de Software | Unidad 1
Código Creativo y Arte de Software | Unidad 1
 
Science 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its CharacteristicsScience 7 - LAND and SEA BREEZE and its Characteristics
Science 7 - LAND and SEA BREEZE and its Characteristics
 
Crayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon ACrayon Activity Handout For the Crayon A
Crayon Activity Handout For the Crayon A
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPTECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
ECONOMIC CONTEXT - LONG FORM TV DRAMA - PPT
 
mini mental status format.docx
mini    mental       status     format.docxmini    mental       status     format.docx
mini mental status format.docx
 
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdfTataKelola dan KamSiber Kecerdasan Buatan v022.pdf
TataKelola dan KamSiber Kecerdasan Buatan v022.pdf
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
Concept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.CompdfConcept of Vouching. B.Com(Hons) /B.Compdf
Concept of Vouching. B.Com(Hons) /B.Compdf
 
Separation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and ActinidesSeparation of Lanthanides/ Lanthanides and Actinides
Separation of Lanthanides/ Lanthanides and Actinides
 
Introduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptxIntroduction to AI in Higher Education_draft.pptx
Introduction to AI in Higher Education_draft.pptx
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
KSHARA STURA .pptx---KSHARA KARMA THERAPY (CAUSTIC THERAPY)————IMP.OF KSHARA ...
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)
 

Ramanujan's magic square sums

  • 3. History of Ramanujan’s And his contributions
  • 5.  Born on 22, December, 1887 Erode,Tamilnadu,India.
  • 6.  One day a primary School teacher was telling to his students ‘If three fruits are divided among three persons, each would get one , even would get one , even if 1000 fruits are divided among 1000 persons each would get one ‘. Thus , generalized that any number divided by itself was unity . This Made a child of that class jump and ask- ‘ is zero divided by zero also unity?’ If no fruits are divided nobody , will each get one? This little boy was none other than RAMANUJAN . A thought of 7 years Old Ramanujan’s
  • 7.  At the age of 12, he was declared “CHILD MATHEMATICIAN” by his teachers.
  • 8. RAMANUJAN’S HIGH SCHOOL ,IN KUMBAKONAM
  • 9.  He was married with a nine year old girl named Janaki Aammal,when he was 22.
  • 10. He was invited to England to improve his works by G.H.Hardy and J.E Littlewoods, who were great mathematicians. He was the first elected Mathematician from India to the London Mathematical society and he became a Fellow of the Royal society.
  • 11. In 1916, got Hon. B.A.(PhD) Degree of University of Cambridge.
  • 12.  6.12.1917 – Elected to London Mathematical Society  Became a ‘Fellow of The Royal Society’ in 1918  Became the first Indian to be elected a Fellow of Trinity College, Cambridge
  • 13. Ramanujan himself supplied the solution to the problem It is continues
  • 14. 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, Srinivasa Ramanujan. ………. 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 row is 139. …………. What 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 column is also 139. Oh, this 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 numbers of any diagonal is also 139. Oh, this also will be there in any magic square. What is so great in it…?
  • 18. 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?
  • 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 colored boxes is also 139. Interesting..?
  • 20. RAMANUJAN’S MAGIC SQUARE Look at these possibilities. Sum of identical colored boxes is also 139. Interesting..? 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11
  • 21. 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. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of identical colored boxes is 139.
  • 23. RAMANUJAN’S MAGIC SQUARE 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of colored boxes is 139.
  • 24. 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
  • 25. 1. 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.
  • 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
  • 27.  Srinivasa Ramanujan died April 26, 1920 . We Miss a Great Mathematician
  • 28. Recognition by Govt.of India The Ex. 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
  • 29.  Ramanujan's home state of Tamil Nadu celebrates 22 December (Ramanujan's birthday) as 'State IT Day', Stamp on Ramanujan’s was released by the govt.of India in 1962.
  • 30. Calculations of Ramanujan in his own handwriting
  • 31. Calculations of Ramanujan in his own handwriting