The mysterious genius Srinivasa Ramanujan.

Srinivasa Ramanujan (1887-1920). (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

The number theory is thankful to Srinivasa Ramanujan (1887-1920). The thing that makes this person, who was born into a poor Indian family in colonial India was a self-educated person, who made a lot of things in mathematics. Those theories are still handy tools for many types of advanced calculations. There are many interesting details in the life of that young person, who passed away in 1920. Many people say that Srinivasa Ramanujan died too early. If that person could live a longer life, he might stand in the place of Albert Einstein.

There were many interesting things in Ramanujan's early life. The thing is that Ramanujan failed twice in college. Because of his passion for mathematics. And that's why he flees from home. Maybe he was afraid that his parents were angry. Finally, he went to Trinity College Cambridge where he started to work with Hardy and Littlewood in 1914.

Pages from Ramanujan’s lost notebook. (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

"Ramanujan’s first letter to G.H. Hardy included formulas (5), (6) and (7), strange nested fractions that Hardy said “defeated me completely; I had never seen anything in the least like them before.” (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

(Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

There are lots of theories that this man created. At a young age, this man was very poor and also he had very big health problems. In 1912 he sent letters to famous mathematicians and one of them, G.H Hardy the expert in number theory and analysis at the University of Cambridge. When Hardy got the letter from Srinivasa Ramanujan. That man said, that his greatest work for mathematics was that he found Ramanujan. Then Hardy called Ramanujan to England. There Ramanujan made some works for Cambridge. He lived in England from 1914 to 1919. Then he returned to India where he died in 1920.

"Hardy and Ramanujan collaborated closely for years. They exchanged letters about mathematics until Ramanujan’s death." (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

And then he went sick. After returning to India Ramanujan died. An interesting thing is that Ramanujan died almost similar way as his colleague Nils Henrik Abel (1802-1829), a Norwegian mathematician. He came to his university, did impressive work, and then got some illness and then that ultimate genius died at a young age, 32.

Images: (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

Ramanujan work.

Still today Ramanujan's work is very highly respected.

The main thing that Ramanujan did is this: he introduce a way to calculate fractional numbers. There are five ways to introduce number 4. The number four can be shared in pieces like this (2+2), or, (2+1+1), or, (1+1+1+1), or, (1+1+2). And then it is easier to make things like division calculations. 4/8 can be introduced like this: (1+1+2)/(2+2+2+2). And we all know that 4/8=1/2.

The interesting thing is that. Those numbers can also be decimal numbers, which means that we can introduce as an example number 1 in this mode. (0,25+0,25+0,25+0,25). Or we can introduce number four in this mode. (0,5+0,5+0,5+0,5+0,5+0,5+0,5+0,5). Or we can share 0,5 to two 0,25. That is one of the most interesting things in mathematics. There are many ways to benefit from that model.

The Ramanujan theorems play a key role in singularity calculations. There the curves and lines connect a series of points. The introduction for that is in the Quanta magazine article.

The thing is that Ramanujan's work could help Grigory Prelman in his work with the Poincaré theorem.

https://www.quantamagazine.org/srinivasa-ramanujan-was-a-genius-math-is-still-catching-up-20241021/

https://en.wikipedia.org/wiki/G._H._Hardy

https://en.wikipedia.org/wiki/John_Edensor_Littlewood

https://en.wikipedia.org/wiki/Niels_Henrik_Abel

https://en.wikipedia.org/wiki/Srinivasa_Ramanujan

List of Ramanujan work.

Wikipedia, Srinivasa Ramanujan

All images: (Quanta Magazine, Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan)

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