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BORN 22 December 1887
PLACE OF BIRTH ERODE, TAMILNADU
FATHER K. Srinivasa Iyengar
MOTHER Komalat Ammal
WIFE Janaki Ammal
SIBLINGS Sadagopan
&
HE STARTED HIS SCHOOLING IN 1892. INITIALLY HE
DID NOT LIKE SCHOOL THOUGH HE SOON STARTED
EXCELLING HIS STUDIES, ESPECIALLY MATHEMATICS.
IN 1897 HE PASSED HIS EXAMS
IN ENGLISH, TAMIL, GEOGRAPHY
AND ARITHMETIC WITH THE
HIGHEST SCORES IN HIS
DISTRICT.
ONCE HIS TEACHER SAID THAT WHEN ZERO IS
DIVIDED BY ANY NUMBER, THE RESULT IS
ZERO, RAMANUJAN IMMEDIATELY ASKED HIS
TEACHER WHEATHER ZERO DIVIDED BY ZERO
GIVES ZERO.
HE PASSED HIS PRIMARY
EXAMINATIONS AND STOOD
FIRST IN THE DISTRICT AT
TOWN HIGH SCHOOL-
KUMBAKONAM IN1898
HE ALSO MASTERED
ADVANCED
TRIGONOMETRY WRITTEN
BY S.L. LONEY AT THE
AGE OF 13 YEARS.
IN HIGH SCHOOL HE
DEVOURED BOOKS ON
MATHEMATICS AND
DISCOVERED
ADVANCED
THEOREMS.
AT THE AGE OF 16 HE GOT HIS
HANDS ON A BOOK CALLED ‘A
SYNOPSIS OF ELEMENTARY
RESULTS IN PURE AND APPLIED
MATHEMATICS’ BY G.S. CARR
WHICH WAS A COLLECTION OF
5,000 THEOREMS. HE WAS
THOROUGHLY FASCINATED BY
THE BOOK AND SPENT MONTHS
STUDYING IT IN DETAIL. THIS
BOOK IS CREDITED TO HAVE
AWAKENED THE MATHEMATICAL
GENIUS IN HIM
BY THE TIME HE WAS 17, HE HAD INDEPENDENTLY
DEVELOPED AND INVESTIGATED THE BERNOULLI
NUMBERS AND HAD CALCULATED THE EULER–
MASCHERONI CONSTANT UP TO 15 DECIMAL
PLACES. HE WAS NOW NO LONGER INTERESTED IN
ANY OTHER SUBJECT, AND TOTALLY IMMERSED
HIMSELF IN THE STUDY OF MATHEMATICS ONLY.
HE WAS GRADUATED FROM
TOWN HIGH SECONDARY SCHOOL
IN 1904 AND WAS AWARDED
THE K. RANGANATHA RAO PRIZE
FOR MATHEMATICS BY THE
SCHOOL'S HEADMASTER,
KRISHNASWAMI IYER.
RAMANUJAN MADE SUBSTANTIAL
CONTRIBUTIONS TO THE
ANALYTICAL THEORY OF NUMBERS
AND WORKED ON ELLIPTIC FUNCTIONS,
CONTINUED FRACTIONS AND INFINITE. IN 1900
HE BEGAN TO WORK ON HIS OWN ON
MATHEMATICS SUMMING GEOMETRIC AND
ARITHMETIC SERIES.
HE WORKED ON DIVERGENT SERIES.
HE SENT 120 THEOREMS ON SIMPLE
DIVISIBILITY PROPERTIES OF THE
PARTITION FUNCTION.
PARTITION OF WHOLE NUMBERS IS ANOTHER
SIMILAR PROBLEM THAT CAPTURED
RAMANUJAN’S ATTENTION.
SUBSEQUENTLY RAMANUJAN DEVELOPED A
FORMULA FOR THE PARTITION OF ANY
NUMBER, WHICH CAN BE MADE TO YIELD THE
REQUIRED RESULT BY A SERIES OF
SUCCESSIVE APPROXIMATION.
EXAMPLE 3=3+0=1+2=1+1+1.
GOLDBACH’S CONJECTURE
IT IS ONE OF THE MOST IMPORTANT
ILLUSTRATIONS OF RAMANUJAN CONTRIBUTION
TOWARDS THE PROOF OF THE CONJECTURE.
THE STATEMENT IS EVERY EVEN INTEGER
GREATER THAT TWO IS THE SUM OF TWO
PRIMES.
THAT IS, 6=3+3
RAMANUJAN AND HIS ASSOCIATES HAD
SHOWED THAT EVERY LARGE INTEGER COULD
BE WRITTEN AS THE SUM OF AT MOST FOUR
(EXAMPLE: 43=2+5+17+19).
RAMANUJAN STUDIED THE HIGHLY
COMPOSITE NUMBERS ALSO
WHICH ARE RECOGNIZED AS THE
OPPOSITE OF PRIME NUMBERS.
HE STUDIED THEIR STRUCTURE,
DISTRIBUTION AND SPECIAL
FORMS
NUMBERS
FERMAT THEOREM
HE ALSO DID CONSIDERABLE WORK ON
THE UNRESOLVED FERMAT THEOREM,
WHICH STATES THAT A PRIME NUMBER
OF THE FORM 4m+1 IS THE SUM OF
TWO SQUARES.
RAMANUJAN’S NUMBER
1729 IS A FAMOUS RAMANUJAN
NUMBER.
IT IS THE SMALLEST NUMBER
WHICH CAN BE EXPRESSED AS
THE SUM OF TWO CUBES IN
TWO DIFFERENT WAYS
1729 = 13 + 123 = 93 + 103
CUBIC EQUATIONS AND QUADRATIC
EQUATIONS
RAMANUJAN SHOWED HOW TO SOLVE
CUBIC EQUATIONS.
IN 1902 HE WENT ON TO FIND HIS OWN
METHOD TO SOLVE THE QUADRATIC.
EULER’S CONSTANT
BY 1904 RAMANUJAN HAD
BEGAN TO UNDERTAKE DEEP
RESEARCH.
HE INVESTIGATED THE SERIES
(1/n) AND CALCULATED EULER’S
CONSTANT UPTO 15 DECIMAL
PLACES.
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.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of numbers of any row is
139.
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.
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.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of corner numbers is
also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of these identical
coloured boxes is also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of these identical
coloured boxes is also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum Of Central Squares Is
Also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of these combinations
is also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Sum of these
combinations is
also 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
Do you Remember the birth
of Srinivasa Ramanujan?
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
It is 22-12-1887
(22nd December 1887)
RAMANUJAN'S HOME STATE
TAMIL NADU CELEBRATES 22 DECEMBER
AS STATE I. T. DAY, MEMORIALISING BOTH
THE MAN AND HIS ACHIEVEMENTS, AS A
NATIVE OF TAMIL NADU.
A STAMP PICTURING RAMANUJAN WAS
RELEASED BY THE GOVERNMENT OF INDIA IN
1962 – THE 75th ANNIVERSARY OF RAMANUJAN'S
BIRTH COMMEMORATING HIS ACHIEVEMENTS IN
THE FIELD OF NUMBER THEORY,AND A NEW
DESIGN WAS ISSUED ON 26 DECEMBER 2011, BY
THE INDIAN POSTAL DEPARTMENT.
THE DEPARTMENT OF MATHEMATICS
CELEBRATES THE BIRTH DAY OF RAMANUJAN
BY ORGANISING A
NATIONAL SYMPOSIUM ON MATHEMATICAL
METHODS AND APPLICATIONS
(NSMMA) FOR ONE DAY BY INVITING EMINENT
INDIAN AND FOREIGN SCHOLARS.
ON THE 125TH ANNIVERSARY OF HIS BIRTH, INDIA
DECLARED THE BIRTHDAY OF RAMANUJAN AS
NATIONAL MATHEMATICS DAY.
THE DECLARATION WAS MADE BY
DR. MANMOHAN SINGH IN 2011.
DR. MANMOHAN SINGH ALSO DECLARED THAT THE
YEAR 2012 WOULD BE CELEBRATED AS
THE NATIONAL MATHEMATICS YEAR.
SCULPTURE
OF RAMANUJAN WAS
INSTALLED AT THE
GARDEN OF BIRLA
INDUSTRIAL &
TECHNOLOGICAL
MUESEUM BY ITS
MANAGEMENT.
GOOGLE HONOURED HIM ON
HIS 125TH BIRTH
ANNIVERSARY BY REPLACING
ITS LOGO WITH A DOODLE ON
ITS HOME PAGE.
SRINIVASA RAMANUJAN WAS A
SELF-TAUGHT PURE MATHEMATICIAN.
HE HAD TO DROP OUT OF COLLEGE AS
HE WAS UNABLE TO GET THROUGH HIS
COLLEGE EXAMINATIONS.
WITH NO JOB AND COMING FROM A POOR
FAMILY, LIFE WAS TOUGH FOR HIM AND HE HAD
TO SEEK THE HELP OF FRIENDS TO SUPPORT
HIMSELF WHILE HE WORKED ON HIS
MATHEMATICAL DISCOVERIES AND TRIED TO
GET IT NOTICED FROM ACCOMPLISHED
MATHEMATICIANS.
HE WROTE A LETTER TO G.H. HARDY
CONTAINING 120 THEOREMS WHICH
BROUGHT HIM TO LONDON.
HE WAS THE FIRST INDIAN MATHEMATICIAN TO
BE SELECTED IN THE ROYAL SOCIETY OF LONDON.
HE WAS THE SECOND INDIAN TO BE THE
MEMBER OF ROYAL SOCIETY OF LONDON AFTER
CURSETJEE
UNFORTUNATELY THIS GREAT
MATHEMATICIAN AND FRIEND OF
NUMBERS DIED ON APRIL 26TH 1920 .
AT CHETPUT IN CHENNAI DUE TO
TUBERCULOSIS AT THE AGE OF 32.
BY: ADNAN ALI KHAN &
MUAAZ FAIYAZUDDIN
IX ‘A’
OF
K.V.N.H.S
Srinivasa Ramanujan A great INDIAN MATHEMATICIAN

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Srinivasa Ramanujan A great INDIAN MATHEMATICIAN

  • 1.
  • 2.
  • 3.
  • 4. BORN 22 December 1887 PLACE OF BIRTH ERODE, TAMILNADU FATHER K. Srinivasa Iyengar MOTHER Komalat Ammal WIFE Janaki Ammal SIBLINGS Sadagopan
  • 5. &
  • 6. HE STARTED HIS SCHOOLING IN 1892. INITIALLY HE DID NOT LIKE SCHOOL THOUGH HE SOON STARTED EXCELLING HIS STUDIES, ESPECIALLY MATHEMATICS. IN 1897 HE PASSED HIS EXAMS IN ENGLISH, TAMIL, GEOGRAPHY AND ARITHMETIC WITH THE HIGHEST SCORES IN HIS DISTRICT.
  • 7. ONCE HIS TEACHER SAID THAT WHEN ZERO IS DIVIDED BY ANY NUMBER, THE RESULT IS ZERO, RAMANUJAN IMMEDIATELY ASKED HIS TEACHER WHEATHER ZERO DIVIDED BY ZERO GIVES ZERO.
  • 8. HE PASSED HIS PRIMARY EXAMINATIONS AND STOOD FIRST IN THE DISTRICT AT TOWN HIGH SCHOOL- KUMBAKONAM IN1898 HE ALSO MASTERED ADVANCED TRIGONOMETRY WRITTEN BY S.L. LONEY AT THE AGE OF 13 YEARS.
  • 9. IN HIGH SCHOOL HE DEVOURED BOOKS ON MATHEMATICS AND DISCOVERED ADVANCED THEOREMS.
  • 10. AT THE AGE OF 16 HE GOT HIS HANDS ON A BOOK CALLED ‘A SYNOPSIS OF ELEMENTARY RESULTS IN PURE AND APPLIED MATHEMATICS’ BY G.S. CARR WHICH WAS A COLLECTION OF 5,000 THEOREMS. HE WAS THOROUGHLY FASCINATED BY THE BOOK AND SPENT MONTHS STUDYING IT IN DETAIL. THIS BOOK IS CREDITED TO HAVE AWAKENED THE MATHEMATICAL GENIUS IN HIM
  • 11. BY THE TIME HE WAS 17, HE HAD INDEPENDENTLY DEVELOPED AND INVESTIGATED THE BERNOULLI NUMBERS AND HAD CALCULATED THE EULER– MASCHERONI CONSTANT UP TO 15 DECIMAL PLACES. HE WAS NOW NO LONGER INTERESTED IN ANY OTHER SUBJECT, AND TOTALLY IMMERSED HIMSELF IN THE STUDY OF MATHEMATICS ONLY.
  • 12. HE WAS GRADUATED FROM TOWN HIGH SECONDARY SCHOOL IN 1904 AND WAS AWARDED THE K. RANGANATHA RAO PRIZE FOR MATHEMATICS BY THE SCHOOL'S HEADMASTER, KRISHNASWAMI IYER.
  • 13.
  • 14. RAMANUJAN MADE SUBSTANTIAL CONTRIBUTIONS TO THE ANALYTICAL THEORY OF NUMBERS AND WORKED ON ELLIPTIC FUNCTIONS, CONTINUED FRACTIONS AND INFINITE. IN 1900 HE BEGAN TO WORK ON HIS OWN ON MATHEMATICS SUMMING GEOMETRIC AND ARITHMETIC SERIES.
  • 15. HE WORKED ON DIVERGENT SERIES. HE SENT 120 THEOREMS ON SIMPLE DIVISIBILITY PROPERTIES OF THE PARTITION FUNCTION.
  • 16. PARTITION OF WHOLE NUMBERS IS ANOTHER SIMILAR PROBLEM THAT CAPTURED RAMANUJAN’S ATTENTION. SUBSEQUENTLY RAMANUJAN DEVELOPED A FORMULA FOR THE PARTITION OF ANY NUMBER, WHICH CAN BE MADE TO YIELD THE REQUIRED RESULT BY A SERIES OF SUCCESSIVE APPROXIMATION. EXAMPLE 3=3+0=1+2=1+1+1.
  • 17. GOLDBACH’S CONJECTURE IT IS ONE OF THE MOST IMPORTANT ILLUSTRATIONS OF RAMANUJAN CONTRIBUTION TOWARDS THE PROOF OF THE CONJECTURE. THE STATEMENT IS EVERY EVEN INTEGER GREATER THAT TWO IS THE SUM OF TWO PRIMES. THAT IS, 6=3+3 RAMANUJAN AND HIS ASSOCIATES HAD SHOWED THAT EVERY LARGE INTEGER COULD BE WRITTEN AS THE SUM OF AT MOST FOUR (EXAMPLE: 43=2+5+17+19).
  • 18. RAMANUJAN STUDIED THE HIGHLY COMPOSITE NUMBERS ALSO WHICH ARE RECOGNIZED AS THE OPPOSITE OF PRIME NUMBERS. HE STUDIED THEIR STRUCTURE, DISTRIBUTION AND SPECIAL FORMS NUMBERS
  • 19. FERMAT THEOREM HE ALSO DID CONSIDERABLE WORK ON THE UNRESOLVED FERMAT THEOREM, WHICH STATES THAT A PRIME NUMBER OF THE FORM 4m+1 IS THE SUM OF TWO SQUARES.
  • 20. RAMANUJAN’S NUMBER 1729 IS A FAMOUS RAMANUJAN NUMBER. IT IS THE SMALLEST NUMBER WHICH CAN BE EXPRESSED AS THE SUM OF TWO CUBES IN TWO DIFFERENT WAYS 1729 = 13 + 123 = 93 + 103
  • 21. CUBIC EQUATIONS AND QUADRATIC EQUATIONS RAMANUJAN SHOWED HOW TO SOLVE CUBIC EQUATIONS. IN 1902 HE WENT ON TO FIND HIS OWN METHOD TO SOLVE THE QUADRATIC.
  • 22. EULER’S CONSTANT BY 1904 RAMANUJAN HAD BEGAN TO UNDERTAKE DEEP RESEARCH. HE INVESTIGATED THE SERIES (1/n) AND CALCULATED EULER’S CONSTANT UPTO 15 DECIMAL PLACES.
  • 23.
  • 24. 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.
  • 25. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any row is 139.
  • 26. 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.
  • 27. 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.
  • 28. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of corner numbers is also 139.
  • 29. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these identical coloured boxes is also 139.
  • 30. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these identical coloured boxes is also 139.
  • 31. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum Of Central Squares Is Also 139.
  • 32. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these combinations is also 139.
  • 33. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these combinations is also 139.
  • 34. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 Do you Remember the birth of Srinivasa Ramanujan?
  • 35. 22 12 18 87 88 17 9 25 10 24 89 16 19 86 23 11 It is 22-12-1887 (22nd December 1887)
  • 36.
  • 37. RAMANUJAN'S HOME STATE TAMIL NADU CELEBRATES 22 DECEMBER AS STATE I. T. DAY, MEMORIALISING BOTH THE MAN AND HIS ACHIEVEMENTS, AS A NATIVE OF TAMIL NADU.
  • 38. A STAMP PICTURING RAMANUJAN WAS RELEASED BY THE GOVERNMENT OF INDIA IN 1962 – THE 75th ANNIVERSARY OF RAMANUJAN'S BIRTH COMMEMORATING HIS ACHIEVEMENTS IN THE FIELD OF NUMBER THEORY,AND A NEW DESIGN WAS ISSUED ON 26 DECEMBER 2011, BY THE INDIAN POSTAL DEPARTMENT.
  • 39. THE DEPARTMENT OF MATHEMATICS CELEBRATES THE BIRTH DAY OF RAMANUJAN BY ORGANISING A NATIONAL SYMPOSIUM ON MATHEMATICAL METHODS AND APPLICATIONS (NSMMA) FOR ONE DAY BY INVITING EMINENT INDIAN AND FOREIGN SCHOLARS.
  • 40. ON THE 125TH ANNIVERSARY OF HIS BIRTH, INDIA DECLARED THE BIRTHDAY OF RAMANUJAN AS NATIONAL MATHEMATICS DAY. THE DECLARATION WAS MADE BY DR. MANMOHAN SINGH IN 2011. DR. MANMOHAN SINGH ALSO DECLARED THAT THE YEAR 2012 WOULD BE CELEBRATED AS THE NATIONAL MATHEMATICS YEAR.
  • 41. SCULPTURE OF RAMANUJAN WAS INSTALLED AT THE GARDEN OF BIRLA INDUSTRIAL & TECHNOLOGICAL MUESEUM BY ITS MANAGEMENT.
  • 42. GOOGLE HONOURED HIM ON HIS 125TH BIRTH ANNIVERSARY BY REPLACING ITS LOGO WITH A DOODLE ON ITS HOME PAGE.
  • 43.
  • 44.
  • 45. SRINIVASA RAMANUJAN WAS A SELF-TAUGHT PURE MATHEMATICIAN. HE HAD TO DROP OUT OF COLLEGE AS HE WAS UNABLE TO GET THROUGH HIS COLLEGE EXAMINATIONS. WITH NO JOB AND COMING FROM A POOR FAMILY, LIFE WAS TOUGH FOR HIM AND HE HAD TO SEEK THE HELP OF FRIENDS TO SUPPORT HIMSELF WHILE HE WORKED ON HIS MATHEMATICAL DISCOVERIES AND TRIED TO GET IT NOTICED FROM ACCOMPLISHED MATHEMATICIANS.
  • 46. HE WROTE A LETTER TO G.H. HARDY CONTAINING 120 THEOREMS WHICH BROUGHT HIM TO LONDON. HE WAS THE FIRST INDIAN MATHEMATICIAN TO BE SELECTED IN THE ROYAL SOCIETY OF LONDON. HE WAS THE SECOND INDIAN TO BE THE MEMBER OF ROYAL SOCIETY OF LONDON AFTER CURSETJEE
  • 47.
  • 48. UNFORTUNATELY THIS GREAT MATHEMATICIAN AND FRIEND OF NUMBERS DIED ON APRIL 26TH 1920 . AT CHETPUT IN CHENNAI DUE TO TUBERCULOSIS AT THE AGE OF 32.
  • 49. BY: ADNAN ALI KHAN & MUAAZ FAIYAZUDDIN IX ‘A’ OF K.V.N.H.S

Editor's Notes

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