Author | G. H. Hardy E. M. Wright |
---|---|
Language | English |
Subject | Number theory |
Genre | Textbook |
Published | 1938 |
Publisher | Clarendon Press |
OCLC | 879664 |
An Introduction to the Theory of Numbers is a classic textbook in the field of number theory, by G. H. Hardy and E. M. Wright.
The book grew out of a series of lectures by Hardy and Wright and was first published in 1938.
The third edition added an elementary proof of the prime number theorem, and the sixth edition added a chapter on elliptic curves.
Godfrey Harold Hardy was an English mathematician, known for his achievements in number theory and mathematical analysis. In biology, he is known for the Hardy–Weinberg principle, a basic principle of population genetics.
Harold Scott MacDonald "Donald" Coxeter was a British-Canadian geometer and mathematician. He is regarded as one of the greatest geometers of the 20th century.
1729 is the natural number following 1728 and preceding 1730. It is the first nontrivial taxicab number, expressed as the sum of two cubic numbers in two different ways. It is also known as the Ramanujan number or Hardy–Ramanujan number, named after G. H. Hardy and Srinivasa Ramanujan.
Sir Edward Maitland Wright was an English mathematician, best known for co-authoring An Introduction to the Theory of NumbersHardy & Wright (1938) with G. H. Hardy. He served as the Principal of the University of Aberdeen from 1962 to 1976.
Robert Daniel Carmichael was an American mathematician.
Sir Harold Jeffreys, FRS was a British geophysicist who made significant contributions to mathematics and statistics. His book, Theory of Probability, which was first published in 1939, played an important role in the revival of the objective Bayesian view of probability.
Harold Davenport FRS was an English mathematician, known for his extensive work in number theory.
Ernest William Hobson FRS was an English mathematician, now remembered mostly for his books, some of which broke new ground in their coverage in English of topics from mathematical analysis. He was Sadleirian Professor of Pure Mathematics at the University of Cambridge from 1910 to 1931.
Edward Charles "Ted" Titchmarsh was a leading British mathematician.
Leonard Eugene Dickson was an American mathematician. He was one of the first American researchers in abstract algebra, in particular the theory of finite fields and classical groups, and is also remembered for a three-volume history of number theory, History of the Theory of Numbers. The L. E. Dickson instructorships at the University of Chicago Department of Mathematics are named after him.
A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions is a landmark textbook on mathematical analysis written by Edmund T. Whittaker and George N. Watson, first published by Cambridge University Press in 1902. The first edition was Whittaker's alone, but later editions were co-authored with Watson.
Godfrey Davies was an English historian of the 17th century and member of the research staff of the Huntington Library. The Mississippi Valley Historical Review summarized his contributions by noting: "Through his published works he came to be recognized as a leading authority in seventeenth-century English history, and through his innumerable services to British and American students who have worked at the Huntington Library during the past quarter of a century he made a leading contribution not only to his own but also to many fields of historical scholarship."
The Copeland–Erdős constant is the concatenation of "0." with the base 10 representations of the prime numbers in order. Its value, using the modern definition of prime, is approximately
In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values.
The Turán–Kubilius inequality is a mathematical theorem in probabilistic number theory. It is useful for proving results about the normal order of an arithmetic function. The theorem was proved in a special case in 1934 by Pál Turán and generalized in 1956 and 1964 by Jonas Kubilius.
In number theory, a Durfee square is an attribute of an integer partition. A partition of n has a Durfee square of size s if s is the largest number such that the partition contains at least s parts with values ≥ s. An equivalent, but more visual, definition is that the Durfee square is the largest square that is contained within a partition's Ferrers diagram. The side-length of the Durfee square is known as the rank of the partition.
Edwin Bailey Elliott FRS was a mathematician who worked on invariant theory. In 1892 he was appointed Waynflete Professor of Pure Mathematics at Oxford. He was elected a fellow of the Royal Society in 1891. He wrote the book An introduction to the algebra of quantics, on invariant theory.
Samuel Verblunsky was a British mathematician who introduced Verblunsky's theorem and Verblunsky coefficients. His early work on orthogonal polynomials and harmonic functions was neglected for many years, until publicized by Barry Simon.
Sequences is a mathematical monograph on integer sequences. It was written by Heini Halberstam and Klaus Roth, published in 1966 by the Clarendon Press, and republished in 1983 with minor corrections by Springer-Verlag. Although planned to be part of a two-volume set, the second volume was never published.