Today is the birthday of one of the greatest pure mathematicians & #Ramanujan champion, Prof.G.H. Hardy.
Godfrey Harold Hardy more commonly known as G.H. Hardy was one of the most prominent mathematicians of all time. 1/7
Hardy brought ‘rigor’ to British mathematics which is a gold standard for a mathematical proof. He worked extensively in mathematical analysis and analytical number theory alongside J.E Littlewood. He also worked a lot for the development of the number theory.
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The first and second Hardy-Littlewood conjectures are fine examples of the work G.H. Hardy did to develop the number theory. The Hardy-Weinberg principle (basics of population genetics) is another notable work done by him.
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Another noteworthy contribution of this brilliant mathematician was the Hardy-Ramanujan asymptotic formula, based on ‘integer partitions’ that he worked out with his coworker Srinivasa Ramanujan.
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He wanted his work to be referred to as ‘pure mathematics’ rather than applied mathematics. He was highly against the use of mathematics in war & military maneuvers. In his view, mathematics was not something to be used in social destruction and to fulfill political purposes
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Hardy was interested in pure mathematics and its topics including Diophantine analysis, distribution of primes, Fourier series, Riemann zeta function, and the summation of divergent series.
The seriousness that Hardy brought to mathematics was pretty uncommon at that time.
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From the formulation of essays to bringing in new techniques in various mathematical methods, Hardy proved himself to be a highly significant figure in the field. G.H. Hardy died in December 1947 after devoting all his life to mathematical work.
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Today is the birth anniversary of one of the greatest scientific minds, #SatyendraNathBose
1 January 1894 – 4 February 1974 was an Indian physicist specializing in mathematical physics. He is best known for his work on quantum mechanics in the early 1920s,
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providing the foundation for Bose-Einstein statistics and the theory of the Bose-Einstein condensate. A Fellow of the Royal Society, he was awarded India’s second-highest civilian award, the Padma Vibhushan in 1954 by the Government of India.
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The class of particles that obey Bose-Einstein statistics, Bosons, was named after Bose by Paul Dirac. A self-taught scholar and a polyglot, he had a wide range of interests in varied fields including physics, mathematics,
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(I forgot) Yesterday is the 194th birthday of one of the greatest mathematicians Bernhard Riemann was born in Breselenz in 1826. Student of Gauss, Riemann published work in the fields of analysis and geometry. 1/n #Mathematics#Riemann
His biggest contribution was likely in the field of differential geometry, where he laid the groundwork for the geometric language later used in Einstein’s General Theory of Relativity.
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Among many other achievements, he made groundbreaking discoveries regarding the distribution of prime numbers. The “Riemann Hypothesis” is one of the most famous unsolved problems in #Mathematics
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Srinivasa Ramanujan's first famous letter in original format (manuscript except for the 1st page) to Prof G H Hardy dated 16 January 1913. He sent 120 theorems in 10 pages. This is really a treasure.
Srinivasa Ramanujan's first letter. Theorems on Prime numbers, Integrals, modular forms, theta functions, continued fractions, Rogers-Ramanujan identities, integral transforms etc.
Prof. Hardy's response: "I had never seen anything in the least like this before. A single look at them is enough to show they could only be written down by a mathematician of the highest class. They must be true because no one would have the imagination to invent them."