Monday, April 26, 2021

Today (April 26, 1920) is the Memorial Day of Tamil Nadu mathematician Srinivasa Ramanujan, who at a young age discovered the fundamentals of astonishing basics of mathematics without anyone's help.

Today (April 26, 1920) is the Memorial Day of Tamil Nadu mathematician Srinivasa Ramanujan, who at a young age discovered the fundamentals of astonishing basics of mathematics without anyone's help. 

Srinivasa Ramanujan was born on December 22, 1887 in Sarangapani Street, Kumbakonam to Srinivasan and Komalam in Erode. His parents had three children born to him and died within a year or two. Ramanujan was born without the ability to speak for three years. Ramanujan's father and paternal grandfather worked as clerks in clothing stores. His maternal grandfather also served as Amina at the Erode Municipal Council. So he was in a simple family, in a state of poverty. The shop where Ramanujam's maternal grandfather worked moved to Kanchipuram in 1891 and his family came to Kanchipuram. Ramanujan started his primary education in 1892 at a primary school in Kanchipuram. His family moved to Kumbakonam in 1894, just days after he was transferred to Telugu education. There he attended Kalyanam Primary School.

 

By the age of ten, the boy's mathematical ability and memory were a mystery to the teachers. He got a half-salary scholarship at Kumbakonam Town High School as he was first in the district in the final examination of the primary school. In 1897 he was admitted to the sixth class of Kumbakonam Nagar High School. From that year he began to study mathematics regularly. At the age of 12, Loney borrowed a textbook on trigonometry from a neighbour in college. The only surprise for the college student was that the student, who was 7 or 8 years younger than himself, not only finished the college textbook in one reading but also finished all the accounts on his own. Despite its title of trigonometry, there are some advanced mathematical topics in the book, such as those continuous processes in analytics, exponential function, the logarithm of a complex variable, and hyperbolic functions. Infinite series and products (infinite series and products) All the high-quality subjects of mathematics were taken into the subject.

 Approximating the Volume of a Sphere - GIF on Imgur

Named the Basic Theorem of Pure Mathematics, the book gained an indelible place in history as it came into the life of the boy Ramanujan. The content of the book attracted him as such, and all his powers were usurped. Even so, owning one is still beyond the reach of the average person. There were about 6000 theorems in it. Half do not have proper installations. The existing ones were also imperfect. For Ramanujan, all this was an inevitable, yet tasty, challenge. For each theorem in it, the boy wrote down in a notebook the installations that appeared in his brain. New theories began to emerge for him in this study. Wrote everything. Thus, at the age of 16, he became a mathematician. But it took another ten years for the world to see him as a mathematician.

 

The fact that he does not have a quality book is like a game of fate. Whittaker's ‘Modern Analysis’ had just arrived in the world but had not reached Kumbakonam. It was then that Bromwich's Infinite Series, Corsla's Fourier Series and Integrals, Bearpoint's Theory of Functions of a Real Variable, and Gypsy's Calculus were written. Even today, there are differing opinions among mathematicians as to whether the history of the mathematical world would have changed if Ramanujan had had all these. An algorist is a mathematician who can infiltrate mathematical codes effectively and come out with success. All three are referred to as accountants in the history of mathematics. It is natural for an accountant to calculate and solve new mathematical problems. The tactics he employs will be unconventional as before.

 File:01-Squaring the circle-Ramanujan-1914.gif - Wikimedia Commons

Merely magnifying it to the point where it seems to make the problem even more difficult depending on the dependencies on the variables, and end up doing what rare geniuses cannot do. Pure mathematics must fly in the sky in the course of their intuition, regardless of the constraints of convergence, existence, etc., and shed light on the darker parts of the problem. Although he sometimes went wrong, the light he showed would pave new paths for other mathematicians and lead to mathematical progress, and history will tell. The genius accountant of India was Srinivasa Ramanujan. The other two accountants are Leonard Euler and Carl Gustav Jacobi. But for both of them, the full strength of a college education was a deep foundation. Ramanujan was left without the opportunity to attend a formal college. He became a great mathematician before anyone could edit and teach him. He should be called ‘uneducated’ compared to Euler or Jacobi, or any mathematician. He is a self-taught genius.

 

In the 18th and 19th centuries, he had much to say to all the mathematicians in the world without having to tackle any of the world's math maths layer by layer. It is a deliciously thrilling mathematical history of his sudden appearance as a star in the twentieth century when his research ideas were formally staged in many of the world's most prestigious universities. In particular, it brought great pride to the Indian nation. In December 1903 he passed the first class in the matriculation examination of the University of Chennai. Due to that Kumbakonam Government College F.A. Subramaniam received a stipend for the class (11th, 12th this time). The subjects he had to learn were English, mathematics, anatomy, Roman Greek history, and the vernacular. But it was mathematics that swallowed up his time and energy.

 10+ Srinivasa Ramanujan ideas | mathematician, number theory, mathematics

He failed the exam except in mathematics. He lost the scholarship. Leaving Kumbakonam, he lost himself somewhere in Andhra Pradesh and wandered around. He returned to Kumbakonam Government College a year later. However, he could not write the December 1905 examination due to the non-availability of the attendance certificate required for the examination. Kumbakonam College lost him as well. He later studied at Pachaiyappa College. Here he learned mathematics from SB Singaravelu et al. The two will discuss and find answers together. SB Singaravelu was one of the Chennai disciples of Mudaliar Swami Vivekananda. It is the custom of Swami Vivekananda to affectionately call him 'Kidi'. Even today, the SB Singaravelu Mudaliar Prize is given annually to the first place students in Mathematics at Pachaiyappa College, Chennai.

 

When he had to return to Kumbakonam due to ill health, he gave his notebooks to his classmate and asked him to give them to Singaravelu Mudaliar or Edward B. Ross or Madras Christian College if he died. But his ‘notebooks’ did not lose him. He was the first librarian at the University of Chennai. R. Ranganathan wrote, “It was as if a torch had inspired him from within. Mathematical studies were insatiable and unavoidable for him. The nostalgia of not even being able to pass the F.A. exam did nothing to stimulate his mathematics. Coming to the ring without work did not diminish the quality or quantity of his studies. Circumstances, economics, and social prestige did not matter to him.

 Srinivasa Ramanujan

All that Ramanujam had in mind were Magic Squares, Continued Fractions, Prime and Composite Numbers, Number Partitions, Elliptic Integrals, Hypersensitive series (hypergeometric series), And other similar high-quality mathematical objects. He wrote all his findings on these in his three notebooks. Installations are probably not written. Copies of these notebooks (consisting of 212, 352, and 33 pages) are currently being published in collaboration with the Tata Basic Research Institute, the University of Chennai and the Sir Thorapji Tata Foundation. From 1985 to 2005, five books were published with detailed notes by Bruce Burnt. Bruce Brunt says that there are 3542 theorems in them and that more than 2000 theorems are unknown to the mathematical world before he lived.

 Srinivasa Ramanujan – A Man, Myth and Beyond – Ajith Kumar. CC

Srinivasa Ramanujan grabbed Janaki, who was nine years old at the age of 22. In 1910 he heard about the Indian Mathematical Society. It was only three years ago that Prof. V.K. It was started by Ramaswamy Iyer. Ramanujan sought his help and fled to Tirukovilur. In 1911, Ramanujan's first research paper was published in the Journal of the Indian Mathematical Society. Meanwhile, Sir Francis Spring, the head of the Chennai port office, heard about Ramanuja and began to inquire about him. The news that a clerk in the post office was making achievements in mathematics began to be widely talked about in Chennai academies. From May 1, 1913, Ramanujan was employed as a researcher at the University of Chennai with a salary of Rs.75 per month. This research was his career starting on and ending his short life.

 e^x (Page 1) / Euler Avenue / Math Is Fun Forum

The four years (1914–1918) with Hardy at Cambridge were golden years not only for Ramanujan but also for Professor Hardy. This is what Hardy says. Later, after Ramanujan died unexpectedly at the age of 32, when Hardy told him about ‘what book he had read before coming here. I could not tell if I had seen the books yesterday or not. Maybe something I would have said if I had asked. But every day when I say good morning to him he is ready to show me five new theories so I have no chance to talk about anything else.

 वो हिंदुस्तानी जिससे गणित भी घबराता था! जिससे एक देवी संख्याओं की भाषा में  बातें करती थी! - The Article

In 1918 F.R.S. (Fellow of the Royal Society). He was also elected a Fellow of Trinity College the same year. He was the first Indian to receive both these honours. The subconscious facts he discovered are being used today at the highest levels in many fields, from basic physics to telecommunications engineering. Tamil Nadu mathematician Srinivasa Ramanujan passed away on April 26, 1920, at the age of 32 in Chennai. The Ramanujan Journal, a mathematical journal, was started in 1997 under the name Ramanujan. December 22 is celebrated every year as National Mathematical Day for the contribution of the Indian mathematician and mathematician Srinivasa Ramanujan to the field of mathematics. 2012 has been declared the National Year of Mathematics.

Source By: Wikipedia

Information: Ramesh, Assistant Professor of Physics, Nehru Memorial College, Puthanampatti, Trichy.



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