History of ramanujan's and his contributions in mathematics by, sandeep

Ramanujan's history

1. Welcome To all!

2. Prepared by Sandeep Lecturer in mathematics

3. History of Ramanujan’s And his contributions

4. SRINIVASA IYANGAR RAMANUJAN 1887-1920

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 22 nd 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 =1 3 +12 3 =9 3 +10 3 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

32. Thank you for Watching!