Question

Write a paragraph ( in not more than 100 words) on “RAMANUJAN - The Great

Mathematician”. Write the important contributions of RAMANUJAN please only 100 words​

Answer 1

Answer:

In mathematics there is a distinction between insight and formulating or working through a proof. Ramanujan proposed an abundance of formulae that could be investigated later in depth. G. H. Hardy said that Ramanujan's discoveries are unusually rich and that there is often more to them than initially meets the eye. As a byproduct of his work, new directions of research were opened up. Examples of the most intriguing of these formulae include infinite series for π, one of which is given below:

{\displaystyle {\frac {1}{\pi }}={\frac {2{\sqrt {2}}}{9801}}\sum _{k=0}^{\infty }{\frac {(4k)!(1103+26390k)}{(k!)^{4}396^{4k}}}.}{\displaystyle {\frac {1}{\pi }}={\frac {2{\sqrt {2}}}{9801}}\sum _{k=0}^{\infty }{\frac {(4k)!(1103+26390k)}{(k!)^{4}396^{4k}}}.}

This result is based on the negative fundamental discriminant d = −4 × 58 = −232 with class number h(d) = 2. Further, 26390 = 5 × 7 × 13 × 58 and 16 × 9801 = 3962, which is related to the fact that

{\textstyle e^{\pi {\sqrt {58}}}=396^{4}-104.000000177\dots .}{\textstyle e^{\pi {\sqrt {58}}}=396^{4}-104.000000177\dots .}

This might be compared to Heegner numbers, which have class number 1 and yield similar formulae.

Answer 2

Step-by-step explanation:

Srinivasa Ramanujan, the mathematical genius, came to be recognized only posthumously for his incredible contribution to the world of Mathematics. Leaving this world at the young age of 32, Srinivasa Ramanujan (1887-1920) contributed a great deal to mathematics that only a few could overtake in their lifetime.

Born in Erode (Tamil Nadu), Ramanujan demonstrated that he had an exceptional intuitive grasp of mathematics at a very young age. He began developing his theories in mathematics and published his first paper in 1911. Infact, he was the second Indian to be included as a Fellow of the Royal Society 9a fellowship of the world’s most respected and famous scientists) in 1918.

The field of number theory in mathematics was enriched with his intuitive research and his vast contribution. Every year, Srinivasa Ramanujan’s birth anniversary on December 22 is commemorated as National Mathematics Day.