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Srinivasa Ramanujan A great INDIAN MATHEMATICIAN
- 4. BORN 22 December1887 PLACE OF BIRTH ERODE, TAMILNADU FATHER K. Srinivasa Iyengar MOTHER Komalat Ammal WIFE Janaki Ammal SIBLINGS Sadagopan
- 5.
- 6. HE STARTED HISSCHOOLING 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 TEACHERSAID 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 HISPRIMARY 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 SCHOOLHE DEVOURED BOOKS ON MATHEMATICS AND DISCOVERED ADVANCED THEOREMS.
- 10. AT THE AGEOF 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 TIMEHE 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 GRADUATEDFROM TOWN HIGH SECONDARY SCHOOL IN 1904 AND WAS AWARDED THE K. RANGANATHA RAO PRIZE FOR MATHEMATICS BY THE SCHOOL'S HEADMASTER, KRISHNASWAMI IYER.
- 14. RAMANUJAN MADE SUBSTANTIAL CONTRIBUTIONSTO 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 ONDIVERGENT SERIES. HE SENT 120 THEOREMS ON SIMPLE DIVISIBILITY PROPERTIES OF THE PARTITION FUNCTION.
- 16. PARTITION OF WHOLENUMBERS 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 ISONE 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 THEHIGHLY 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 ALSODID 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 ISA 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 ANDQUADRATIC 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 1904RAMANUJAN HAD BEGAN TO UNDERTAKE DEEP RESEARCH. HE INVESTIGATED THE SERIES (1/n) AND CALCULATED EULER’S CONSTANT UPTO 15 DECIMAL PLACES.
- 24. 22 12 1887 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 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any row is 139.
- 26. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any column is also 139.
- 27. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of numbers of any diagonal is also 139.
- 28. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of corner numbers is also 139.
- 29. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these identical coloured boxes is also 139.
- 30. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these identical coloured boxes is also 139.
- 31. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum Of Central Squares Is Also 139.
- 32. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these combinations is also 139.
- 33. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Sum of these combinations is also 139.
- 34. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 Do you Remember the birth of Srinivasa Ramanujan?
- 35. 22 12 1887 88 17 9 25 10 24 89 16 19 86 23 11 It is 22-12-1887 (22nd December 1887)
- 37. RAMANUJAN'S HOME STATE TAMILNADU CELEBRATES 22 DECEMBER AS STATE I. T. DAY, MEMORIALISING BOTH THE MAN AND HIS ACHIEVEMENTS, AS A NATIVE OF TAMIL NADU.
- 38. A STAMP PICTURINGRAMANUJAN 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 OFMATHEMATICS 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 125THANNIVERSARY 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 INSTALLEDAT THE GARDEN OF BIRLA INDUSTRIAL & TECHNOLOGICAL MUESEUM BY ITS MANAGEMENT.
- 42. GOOGLE HONOURED HIMON HIS 125TH BIRTH ANNIVERSARY BY REPLACING ITS LOGO WITH A DOODLE ON ITS HOME PAGE.
- 45. SRINIVASA RAMANUJAN WASA 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 ALETTER 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
- 48. UNFORTUNATELY THIS GREAT MATHEMATICIANAND FRIEND OF NUMBERS DIED ON APRIL 26TH 1920 . AT CHETPUT IN CHENNAI DUE TO TUBERCULOSIS AT THE AGE OF 32.
- 49. BY: ADNAN ALIKHAN & MUAAZ FAIYAZUDDIN IX ‘A’ OF K.V.N.H.S
Editor's Notes
- #14 Voice Samples, Achievements, Magic Square, Honours, Thank You & Welcome page