What did GH Hardy say about Ramanujan?
In an interview by Paul Erdős, when Hardy was asked what his greatest contribution to mathematics was, Hardy unhesitatingly replied that it was the discovery of Ramanujan. In a lecture on Ramanujan, Hardy said that “my association with him is the one romantic incident in my life”.
What is the value of pi according to Ramanujan?
Calculates circular constant Pi using the Ramanujan-type formula.
1π=√8992∞∑n=0(4n)!(4nn!)41103+26390n994n ( 4 n n ! ) 4 1103 + 26390 n 99 4 n | |
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formula | Ramanujan 1 1914 Ramanujan 2 1914 Chudonovsky 1987 |
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What was the difference in Hardys and Ramanujan scientific method?
The one major difference that I would like to point out is that Hardy was more inclined towards the need for rigorous proof, much like other mathematicians at Cambridge, while what Ramanujan had was raw intellect, pure intellectual horsepower, so strong that he derived a century worth of mathematics, all in his head …
Was GH Hardy a good mathematician?
Hardy was not the first mathematician to whom Ramanujan had sent his results, however the first two to whom he had written judged him to be a crank. But Hardy was not only an outstanding mathematician, he was also a wonderful teacher, eager to nurture talent.
What does Ramanujan prove?
For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.
What is Ramanujan PI formula?
In his famous paper ‘Modular equations and approximations to π’ Ramanujan developed a theory for the construction of series converging to 1 / π . More precisely he developed relations of the form(1) 1 π = ∑ n = 0 ∞ ( s ) n ( 1 2 ) n ( 1 − s ) n ( n ! )
What is special about the number 1729?
1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.
Who gave PI value?
Archimedes of Syracuse
The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Who is the father of mathematics in world?
Archimedes
Archimedes is regarded as one of the most notable Greek mathematicians. He is known as the Father of Mathematics.
What is the full form of GH Hardy?
Hardy, in full Godfrey Harold Hardy, (born February 7, 1877, Cranleigh, Surrey, England—died December 1, 1947, Cambridge, Cambridgeshire), leading English pure mathematician whose work was mainly in analysis and number theory.