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Srinivasa Ramanujan Aiyangar [a] (22 December 1887 – 26 April 1920) was an Indian mathematician.Often regarded as one of the greatest mathematicians of all time, though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then ...
Ramanujan's health worsens while he continues delving into deeper and more profound research interests in mathematics under the guidance of Hardy and others at Cambridge. Janaki, after much elapsed time, wonders why she has not heard from Ramanujan and eventually discovers that his mother has been intercepting his letters, and withholding hers ...
In 1919 he retired because of poor health. [3] Rogers worked initially on reciprocants in the theory of differential invariants, and then moved into the area of special functions, where he anticipated results of Ramanujan. In the late 1920s, he published in the Mathematical Gazette four notes on geometrical problems, including on Malfatti's ...
The Man Who Knew Infinity: A Life of the Genius Ramanujan is a biography of the Indian mathematician Srinivasa Ramanujan, written in 1991 by Robert Kanigel.The book gives a detailed account of his upbringing in India, his mathematical achievements and his mathematical collaboration with mathematician G. H. Hardy.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
The nth Ramanujan prime is the least integer R n for which () (/), for all x ≥ R n. [2] In other words: Ramanujan primes are the least integers R n for which there are at least n primes between x and x/2 for all x ≥ R n. The first five Ramanujan primes are thus 2, 11, 17, 29, and 41.
Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year (1919–1920) of his life. Its whereabouts were unknown to all but a few mathematicians until it was rediscovered by George Andrews in 1976, in a box of effects of G. N. Watson stored at the ...
It is known as the Ramanujan number or Hardy–Ramanujan number after G. H. Hardy and Srinivasa Ramanujan. As a natural number. 1729 is composite, ...