Skip to main content

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)


Labels:

Comments

Post a Comment

Popular posts from this blog

The hydrogen-burning supernovas are interesting models.

"Researchers discovered a significant magnesium anomaly in a meteorite’s dust particle, challenging current astrophysical models and suggesting new insights into hydrogen-burning supernovas. (Artist’s concept.)Credit: SciTechDaily.com" (ScitechDaily, Rare Dust Particle From Ancient Extraterrestrial Meteorite Challenges Astrophysical Models) If the star is too heavy when its fusion reaction starts, it can detonate just at that moment, when its fusion starts. If the collapsing nebula is heavy enough, it can form a black hole straight from the nebula. But if the nebula's gravity is too heavy to  form  the blue giant or too  small  it can collapse  straight  into a black hole . If  the forming star is a little bit larger than the blue supergiants. It can explode immediately when the fusion starts.    The theory of hydrogen-burning supernovas consists  model  of the giant stars that explode immediately after their fusion starts. When the...
Post a Comment
Read more

The ancient galaxy mirrors the Milky Way.

"This image shows the galaxy REBELS-25 as seen by the Atacama Large Millimeter/submillimeter Array (ALMA), overlaid on an infrared image of other stars and galaxies. The infrared image was taken by ESO’s Visible and Infrared Survey Telescope for Astronomy (VISTA). In a recent study, researchers found evidence that REBELS-25 is a strongly rotating disc galaxy existing only 700 million years after the Big Bang. This makes it the most distant and earliest known Milky Way-like galaxy found to date. Credit: ALMA (ESO/NAOJ/NRAO)/L. Rowland et al./ESO/J. Dunlop et al. Ack.: CASU, CALET" (ScitechDaily, Astronomers Baffled by Ancient Galaxy That Mirrors Modern Milky Way) Researchers found the youngest Milky Way-type galaxy. The distance to the galaxy is enormous. And the light that comes from that galaxy named REBELS-25 comes from the Universe that is only 700 million years old. The distance to that galaxy is enormous about 236 billion light years. And that means it's a very dista...
Post a Comment
Read more

Transcendence, or the ability to transcendent thinking may grow in teen's brains.

   "New research has discovered that transcendent thinking, which involves analyzing the broader implications of situations, can foster brain growth in adolescents. This form of thinking enhances brain network coordination, impacting developmental milestones and future life satisfaction. The study emphasizes the need for education that encourages deep, reflective thought, underscoring the critical role of adolescents in their own brain development". (ScitechDaily, Scientists Discover That “Transcendent” Thinking May Grow Teens’ Brains) "Scientists at  USC Rossier School of Education’s Center for Affective Neuroscience, Development, Learning and Education (CANDLE) have discovered that adolescents who grapple with the bigger meaning of social situations experience greater brain growth, which predicts stronger identity development and life satisfaction years later". (ScitechDaily, Scientists Discover That “Transcendent” Thinking May Grow Teens’ Brains) The transcendenc...
Post a Comment
Read more