• Registration starts : November 1st, 2014
  • Registration Deadline Extended: November 30th
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SRINIVASA RAMANUJAN


   
NSMMA

Srinivasa Ramanujan (22 December 1887 -26 April 1920) a prodigy from Tamil Nadu was a self taught mathematician of incredible intelligence. With almost no formal training in pure mathematics, he had made groundbreaking contributions to mathematical analysis, number theory, infinite series and continued fractions. This genius in mathematics has done extensive research in statistics.

Ramanujan independently compiled nearly 3900 results during his short lifetime and most of his claims have now been proven correct. He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research. However, some of his major discoveries have entered the mathematical mainstream. Recently, Ramanujan's formulae have found applications in crystallography and string theory. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.

A common anecdote about Ramanujan relates to the number 1729, which was mentioned to be uninteresting. On the spot he is said to have stated it was actually a very interesting number mathematically, being the smallest number representable in two different ways as a sum of two cubes:

1729=13 +123 =93 +103

Generalizations of this idea have spawned the notion of "taxicab numbers".

Coincidentally, 1729 is also product of 3 prime numbers

1729=7x13x19

The largest known similar number is

885623890831=75113 +77303=87593 +59783 =3943x14737x15241

The most outstanding of his contributions was his formula for p (n), the number of 'partitions' of 'n'. In 1914, at Trinity College he developed the 'Number Theory'.

Ramanujan was said to be a natural genius, whose birth day on December 22 is declared as 'National Mathematics Day.' His work in mathematics has been edified as original and far beyond his time.



 
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