Srinivasa Ramanujan was a brilliant mathematician from India. He did a lot of work on elliptic functions, continued fractions, and infinite series. He also made significant contributions to the analytical theory of numbers.

Ramanujan was born in Erode, a small village about 400 km southwest of Madras. This is where his grandmother lived (now Chennai). When Ramanujan was a year old, his mother took him to Kumbakonam town, about 160 km closer to Madras. In Kumbakonam, his father worked as a clerk in a shop that sold clothes. He got smallpox in December 1889.

Ramanujan started primary school in Kumbakonam when he was almost five years old. He attended several primary schools before starting high school in Kumbakonam in January 1898. At Town High School, Ramanujan did well in all of his classes and showed that he was a good student in all areas. In 1900, he started working on math by himself, adding geometric and arithmetic series.

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The movie The Man Who Knew Infinity comes out this week. I saw a rough cut last fall, thanks to the mathematicians who made it, Manjul Bhargava and Ken Ono. This makes me want to write about its main character, Srinivasa Ramanujan.

## A Remarkable Letter

They used to be sent through the mail. Now, most people use email. I have been getting messages from all over the world for many years that make big claims about prime numbers, relativity theory, AI, consciousness, and many other things, but I need to back up what they say. I always need to read these messages because I’m busy with my ideas and projects. But in the end, I skimmed them, mostly because I remembered the story of Ramanujan.

### Srinivasa Ramanujan Education

Srinivasa Ramanujan got a copy of George S. Carr’s book A Synopsis of Elementary Results in Pure and Applied Mathematics when he was 15. The book had a lot of mathematical theorems and results, but there needed to be more proof that they worked. Ramanujan could figure out on his own how these results and theorems worked.

When Ramanujan graduated from Town High School, he got a scholarship to attend the Government Art College in Kumbakonam. This made his future look bright. But he was so focused on math that he ignored the other subjects. The following year, he lost the scholarship because of this. He then went to Pachaiyappa’s College in Madras, but the same thing happened there. Without a degree or a job, Ramanujan worked on math problems while living in extreme poverty.

#### Hardy-Ramanujan Number

Hardy had taken a taxi with the number 1729, which Ramanujan told him was “rather boring.” a visit to the hospital made the number 1729 stand out. Ramanujan was ill, so Hardy went to see him. Ramanujan showed him he was wrong when he said that it is the smallest number that can be written in two different ways as the sum of two cubes: If you want to know more about sir Srinivasa Ramanujan then go through WiKi..

#### Ramanujan at Cambridge

In April 1914, Ramanujan moved to Cambridge, working immediately with Hardy and J.E. Littlewood. Ramanujan’s work and knowledge were terrific, but he needed to learn more about how math has changed in recent years. Ramanujan did fantastic work when Hardy and Littlewood taught him. During this time, Ramanujan made important progress on the partition of numbers, or the number of ways that the sum of natural numbers can be written as the sum of natural numbers. For instance, we can write the number 5 as 5, 4+1, 3+2, 3+1+1, 2+1+1+1, or 1+1+1+1+1+1.

Ramanujan got his Bachelor of Science in Research degree in March 1916. In 1918, he joined the Royal Society of London as a Fellow. Ramanujan finally got the attention he had been looking for when his work was published in English and European journals like the Journal of the London Mathematical Society and the Records of Proceedings.