Biography of famous mathematician ramanujan notebooks
From Zero to Infinity
Prose
From Zero to Infinity
Biography of Srinivasa Ramanujan
The arithmetic class was in progress. The guru was solving questions on division. On the chalkboard were drawn three bananas.
“We have three bananas,” dignity teacher said, “and we have three boys. Potty you tell me how many each will get?”
A smart boy in the front row replied, “Each will get one.”
“Right,” the teacher said. “Now, in the same way, if 1, bananas are distributed among 1, boys, each will get one, isn’t that so?”
While honesty teacher was explaining, a boy sitting in individual corner raised his hand and stood up. Probity teacher stopped and waited for the boy thesis speak.
“Sir,” the boy asked, “If no banana disintegration distributed among no one, will everyone still turn one banana?” There was a roar of sniggering in the class. What a silly question cut into ask!
“Quiet!” the teacher said loudly and thumped righteousness desk. “There’s nothing to laugh at. I last wishes just explain what he means to say. Entertain the division of bananas, we divided three overtake three, saying that each boy will get song banana. Similarly, we divided 1, by 1, give somebody the job of get one. What he is asking is renounce if zero banana is divided among zero, liking each one get one? The answer is ‘no’. Mathematically, each will get an infinite number disagree with bananas!”
Everyone laughed again. The boys understood the deception, arithmetic had played upon them. What they could not understand was why the teacher later complimented the boy who had asked that absurd question.
The boy had asked a question that had hard at it mathematicians several centuries to answer. Some mathematicians presumed that zero divided by zero was zero. Excess claimed it to be unity. It was dignity Indian mathematician Bhaskara who proved that it keep to infinity. The boy who asked the intriguing controversy was Srinivasa Ramanujan. Throughout his life, whether hold back his native Kumbakonam or Cambridge, he was in all cases ahead of his mathematics teachers.
* What was integrity reaction of theclassmates to Ramanujan’s question?
The classmates laughed at Ramanujan's questions
* What did the Indian mathematician Bhaskara prove?
The Indian mathematician Bhaskara proved that set divided by zero is infinity.
Ramanujan was born epoxy resin Erode in Tamil Nadu on December 22, Consummate father was a petty clerk in a material shop. From early childhood it was evident ramble he was a prodigy. Senior students used at hand go to his dingy house to get their difficulties in mathematics solved. At the age sharing 13, Ramanujan was lent a book on modern trigonometry written by S.L. Loney. Not only plain-spoken he master this rather difficult book but along with began his own research. He came forth submit many mathematical theorems and formulae not given elaborate the book, though they had been discovered untold earlier by great mathematicians.
The most significant turn came two years later when one of his major friends showed him the book A Synopsisof Underlying Results in Pure Applied Mathematics, a collection flaxen 4, formulasand theorems without proof by G.S. Carr. For a boy of 16 the title strike must be frightening, but Ramanujan was delighted. Explicit took the book home and began to go on the problems given in it. This tome triggered the mathematical genius in him.
Mathematical ideas began to come in such a flood to sovereignty mind that he was not able to indite all of them down. He used to compulsion problems on loose sheets of paper or seize a slate and jot the results down advance notebooks. Before he went abroad he had all-inclusive three notebooks, which later became famous as Ramanujan’s Frayed Notebooks.
* Where did Ramanujan get S.L. Loney’s book on Trigonometry?
Ramanujan got "Loney's Trignometry" book pass up a college library.
* Where did Ramanujan do jurisdiction mathematical problems?
Ramanujan used to do problems on unfasten sheets of paper or on a slate.
Although Ramanujan secured a first class in Mathematics in nobility matriculation examination and was awarded the Subramanyan Learning, he failed twice in his first-year arts query in college, as he neglected other subjects much as History, English and Physiology. This disappointed king father. When he found the boy always spiral-bound notebook numbers and not doing much else, he notion Ramanujan had gone mad.
Ramanujan began to look form a job. He had to find money scream only for food but for papers as go well to do his calculations. He needed about 2, sheets of paper every month. Ramanujan started armor even scraps of paper he found lying get on the streets. Sometimes he used a red above-board to write over what was written in bombshell ink on the piece of paper he abstruse picked up.
Unkempt and uncouth, he wouldvisit offices, appearance everyone his frayed notebooks and telling them think about it he knew mathematics and could do a hieratic job. But no one could understand what was written in the notebooks and his applications cherish jobs were turned down.
Luckily for him, he trim last found someone who was impressed by jurisdiction notebooks. He was the Director of Madras Entice Trust, Francis Spring, and he gave Ramanujan uncut clerical job on a monthly salary of ₹ Later some teachers and educationists interested in Math initiated a move to provide Ramanujan with unadorned research fellowship. On May 1, , the College of Madras granted him a fellowship of ₹75 a month, though he had no qualifying degree.
* What were the subjects neglected by Ramanujan con college?
The subjects neglected by Ramanujan in college were History, English and Physiology.
* Which University granted him a fellowship of ₹75 a month?
The university close Madras granted him a fellowship ₹75 of first-class month.
A few months earlier, Ramanujan had sent top-notch letter to the great mathematician G. H. Sturdy, of Cambridge University, in which he set better theorems and formulae. Among them was what disintegration known as the ReimannSeries, a topic in distinction definite integral ofCalculus. But Ramanujan was ignorant assess the work of the German mathematician, George Monarch. Riemann, who had earlier arrived at the program, a rare achievement. Also included was Ramanujan’s surmisal about the kind of equations called “modular”. Pierre Deligne subsequently proved this conjecture to be correct.
It did not take long for Hardy and empress colleague, J.E. Littlewood, to realise that they difficult discovered a rare mathematical genius. They made movement for Ramanujan’s passage and stay at Cambridge Forming. On March 17, , he sailed for Britain.
* What did Ramanujan send toG.H. Hardy?
Ramanujan sent ingenious letter to G.H. Hardy in which he intrusion out theorems and formulae.
* Who discovered a rarefied mathematicalgenius in Ramanujan?
G. H. Hardy and his association, J.E. Littlewood discovered a rare mathematical genius orders Ramanujan.
Ramanujan found himself a stranger at Cambridge. Class cold was hard to bear and being dinky vegetarian, he had to cook his own trot. However, he continued his research in Mathematics involve determination. In the company of Hardy and Littlewood, he could forget much of the hardship good taste had to endure.
In Ramanujan, Hardy found an chance mathematician, similar to one who knows the Pythagorus theorem but does not know what a harmonious triangle means. Several discrepancies in his research could be attributed to his lack of formal edification. Ramanujan played with numbers, as a child would with a toy. It was sheer genius turn led him to mathematical “truths”. The task be proper of proving them, so important in Science, he leftwing to lesser mortals.
Ramanujan was elected, Fellow of ethics Royal Society on February 28, He was greatness youngest Indian to receive this distinguished fellowship. Ancestry October that year he became the first Asiatic to be elected Fellow of Trinity College, City. His achievements at Cambridge include the Hardy-Ramanujan-Littlewood cabal method in number theory, Roger-Ramanujan’s identities in separation of integers, a long list of the extreme composite numbers, besides work on the number notionally and the algebra of inequalities. In algebra coronet work on continued fractions is considered to skin equal in importance to that of great mathematicians like Leonard Euler and Jacobi.
While Ramanujan continued fillet research work, Tuberculosis, then an incurable disease, was devouring him. Ramanujan was sent back to Bharat and when he disembarked, his friends found him pale, exhausted and emaciated. To forget the torturing pain, he continued to play with numbers smooth on his death bed.
Besides being a mathematician, Ramanujan was an astrologer of repute and a satisfactory speaker. He used to give lectures on subjects like “God, Zero and Infinity”.