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John Edensor Littlewood (June 9, 1885 – September 6, 1977) was a British mathematician. June 9 is the 160th day of the year in the Gregorian calendar (161st in leap years), with 205 days remaining. ...
1885 (MDCCCLXXXV) is a common year starting on Thursday. ...
This article is about the day of the year. ...
For the album by Ash, see 1977 (album). ...
Leonhard Euler is considered by many people to be one of the greatest mathematicians of all time A mathematician is a person whose primary area of study and research is mathematics. ...
Littlewood was born in Rochester in Kent. He went to St Paul's School in London, where he was taught by F. S. Macaulay, now known for his contributions to ideal theory. He studied at the University of Cambridge. He was the Senior Wrangler in the Mathematical Tripos. Rochester is a small town in Kent, at the lowest bridging point of the River Medway about 30 miles (50 km) from London. ...
Kent is a county in England, south-east of London. ...
St Pauls School St Pauls School is one of Britains oldest and most pre-eminent public schools. ...
London is the capital city of the United Kingdom and of England and is the most populous city in the European Union. ...
Francis Sowerby Macaulay (11 February 1862 - 9 February 1937) was an English mathematician who made significant contributions to algebraic geometry. ...
In mathematics, ideal theory is the theory of ideals in commutative rings; and is the precursor name for the contemporary subject of commutative algebra. ...
The University of Cambridge (often called Cambridge University), located in Cambridge, England, is the second-oldest university in the English-speaking world. ...
At the University of Cambridge in England, a wrangler is a student who has completed the third year (called Part II) of the mathematical tripos with first-class honours. ...
The Cambridge Mathematical Tripos was a distinctive written examination of undergraduate students of the University of Cambridge. ...
Most of his work was in the field of mathematical analysis. He began research under the supervision of Ernest William Barnes, working on entire functions. Among his own PhD students were Sarvadaman Chowla, Harold Davenport and Donald C. Spencer. Analysis is the generic name given to any branch of mathematics that depends upon the concepts of limits and convergence. ...
Ernest William Barnes (1874 - 1953) was an English mathematician and scientist, who became a theologian and churchman. ...
In complex analysis, an entire function is a function that is holomorphic everywhere (ie complex-differentiable at every point) on the whole complex plane. ...
Sarvadaman Chowla (October 22, 1907–December 10, 1995) was a prominent Indian-born mathematician, specializing in number theory. ...
Harold Davenport (30 October 1907 - 9 June 1969) was an English mathematician, known for his extensive work in number theory. ...
Donald C. Spencer (April 25, 1912 - December 23, 2001) was an American mathematician, known for major work on deformation theory of structures arising in differential geometry, and on several complex variables from the point of view of partial differential equations. ...
He collaborated for many years with G. H. Hardy. Together they devised the first Hardy-Littlewood conjecture, a strong form of the twin prime conjecture, and the second Hardy-Littlewood conjecture. G. H. Hardy Professor Godfrey Harold Hardy FRS (February 7, 1877 – December 1, 1947) was a prominent British mathematician, known for his achievements in number theory and mathematical analysis. ...
The twin prime conjecture is a famous problem in number theory that involves prime numbers. ...
The twin prime conjecture is a famous problem in number theory that involves prime numbers. ...
In number theory, the second Hardy-Littlewood conjecture concerns the number of primes in intervals. ...
His collaborative work, carried out by correspondence, covered fields in Diophantine approximation and Waring's problem, in particular. In his other work Littlewood collaborated with Raymond Paley in Fourier theory, and with A. Cyril Offord in combinatorial work on random sums, in developments that opened up fields still intensively studied. Littlewood's inequality on bilinear forms was a forerunner of the later Grothendieck tensor norm theory. In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. ...
In number theory, Warings problem, proposed in 1770 by Edward Waring, asks whether for every natural number k there exists an associated positive integer s such that every natural number is the sum of at most s kth powers of natural numbers. ...
Raymond Edward Alan Christopher Paley (1907 - 1933) was an English mathematician. ...
The Fourier transform, named after Joseph Fourier, is an integral transform that re-expresses a function in terms of sinusoidal basis functions, i. ...
Alexander Grothendieck (born March 28, 1928, Berlin) is one of the greatest mathematicians of the 20th century, with major contributions to algebraic geometry, homological algebra, and functional analysis. ...
He coined Littlewood's law, which states that individuals can expect miracles to happen to them, at the rate of about one per month. Littlewoods Law states that individuals can expect a miracle to happen to them at the rate of about one per month. ...
He continued to write papers into his eighties, particularly in analytical areas of what would become the theory of dynamical systems. In engineering and mathematics, a dynamical system is a deterministic process in which a functions value changes over time according to a rule that is defined in terms of the functions current value. ...
He is also remembered for his book of reminiscences, A Mathematician's Miscellany (new edition published in 1986).
See also In mathematics, the Hardy-Littlewood circle method is one of the most frequently used techniques of analytic number theory. ...
In mathematics, the Littlewood conjecture is a open problem (as of 2004) in Diophantine approximation, posed by J. E. Littlewood around 1930. ...
Littlewoods three principles of real analysis are heuristics of J. E. Littlewood to help teach the essentials of measure theory in mathematical analysis. ...
In mathematics, the Littlewood-Offord problem is the combinatorial question in geometry of describing usefully the distribution of the subsums made out of vectors v1, v2, ..., vn, taken from a given Euclidean space of fixed dimension d ≥ 1. ...
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