This is primarily a list of Greatest Mathematicians of the Past, but I use birth as an arbitrary cutoff, and two of the "Top " are still alive now. Click here for a longer List of including many more 20th-century mathematicians.

Bauer in The second was new to Hardy, and was derived from a class of functions called hypergeometric serieswhich had first been researched by Leonhard Euler and Carl Friedrich Gauss.

Hardy found these results "much more intriguing" than Gauss's work on integrals. Littlewoodto take a look at the papers. Littlewood was amazed by Ramanujan's genius. After discussing the papers with Littlewood, Hardy concluded that the letters were "certainly the most remarkable I have received" and said that Ramanujan was "a mathematician of the highest quality, a man of altogether exceptional originality and power".

Nevillelater remarked that "not one [theorem] could have been set in the most advanced mathematical examination in the world". Hanumantha Rao, a mathematics professor at an engineering college, invited Ramanujan's colleague Narayana Iyer to a meeting of the Board of Studies in Mathematics to discuss "what we can do for S.

In one instance, Narayana Iyer submitted some of Ramanujan's theorems on summation of series to the journal, adding, "The following theorem is due to S. Ramanujan, the mathematics student of Madras University.

Ross of Madras Christian Collegewhom Ramanujan had met a few years before, stormed into his class one day with his eyes glowing, asking his students, "Does Ramanujan know Polish? Working off Giuliano Frullani's integral theorem, Ramanujan formulated generalisations that could be made to evaluate formerly unyielding integrals.

Hardy enlisted a colleague lecturing in Madras, E. Neville, to mentor and bring Ramanujan to England.

Ramanujan apparently had now accepted the proposal; as Neville put it, "Ramanujan needed no converting and that his parents' opposition had been withdrawn". Life in England[ edit ] Ramanujan centre and his colleague G.

Hardy extreme rightwith other scientists, outside the Senate House, Cambridgec. Nevasa on 17 March Four days later, Neville took him to his house on Chesterton Road in Cambridge.

Ramanujan immediately began his work with Littlewood and Hardy. After six weeks, Ramanujan moved out of Neville's house and took up residence on Whewell's Court, a five-minute walk from Hardy's room.

Hardy had already received theorems from Ramanujan in the first two letters, but there were many more results and theorems in the notebooks. Hardy saw that some were wrong, others had already been discovered, and the rest were new breakthroughs.

Littlewood commented, "I can believe that he's at least a Jacobi ", [52] while Hardy said he "can compare him only with Euler or Jacobi.

Hardy and Ramanujan had highly contrasting personalities. Their collaboration was a clash of different cultures, beliefs, and working styles. In the previous few decades, the foundations of mathematics had come into question and the need for mathematically rigorous proofs recognized.

Hardy was an atheist and an apostle of proof and mathematical rigour, whereas Ramanujan was a deeply religious man who relied very strongly on his intuition and insights.

While in England, Hardy tried his best to fill the gaps in Ramanujan's education and to mentor him in the need for formal proofs to support his results, without hindering his inspiration—a conflict that neither found easy. Ramanujan was awarded a Bachelor of Science degree by research this degree was later renamed PhD in March for his work on highly composite numbersthe first part of which was published as a paper in the Proceedings of the London Mathematical Society.

The paper was more than 50 pages and proved various properties of such numbers. Hardy remarked that it was one of the most unusual papers seen in mathematical research at that time and that Ramanujan showed extraordinary ingenuity in handling it.

At age 31 Ramanujan was one of the youngest Fellows in the history of the Royal Society. He was elected "for his investigation in Elliptic functions and the Theory of Numbers. His health worsened in England; possibly he was also less resilient due to the difficulty of keeping to the strict dietary requirements of his religion in England and wartime rationing during —Apr 05, · At age 15 Srinivasa Ramanujan obtained a mathematics book containing thousands of theorems, which he verified and from which he developed his own srmvision.com he briefly attended the University of srmvision.com he went to England to study at Trinity College, Cambridge, with British mathematician G.H.

Hardy. Born 14 May ; died 19 Feb at age James Daniel Hardy was an American surgeon who headed teams that performed the first human lung transplant in ; the first animal-to-human heart transplant in ; and a double-lung transplant that left the heart in place in At the Argentinean Billionaire's Bidding, India Grey Child Development, Shyam Sunder Shrimali Hitori and Sudoku, Nikoli Insight to Success, William J.

Smith Pills and Potions ABC French Bk May 13, · Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions, and infinite series.

Ramanujan was born in his gr. Overview. G. H.

Hardy is usually known by those outside the field of mathematics for his essay from on the aesthetics of mathematics, A Mathematician's Apology, which is often considered one of the best insights into the mind of a working mathematician written for the layperson.

Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. Check out this biography to know about his childhood, life, achievements, works & srmvision.com Of Birth: Erode.

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Srinivasa Ramanujan Essay - Words