Pólya notes in the preface " that the following pages will be useful, yet they should not be regarded as a finished expression.

In addition to his works directly addressing problem solving, Pólya wrote another short book called Mathematical Methods in Science, based on a 1963 work supported by the National Science Foundation, edited by Leon Bowden, and published by the Mathematical Association of America ( MAA ) in 1977.

This so-called Selberg trace formula bore a striking resemblance to the explicit formulae, which gave credibility to the speculation of Hilbert and Pólya.

According to the Hilbert – Pólya conjecture, the complex zeroes ρ should be the eigenvalues of some linear operator T. The sum over the zeros of the explicit formula is then ( at least formally ) given by a trace:

Bernays was Privatdozent at the University of Zurich, 1912-17, where he came to know George Pólya.

Hilbert did not work in the central areas of analytic number theory, but his name has become known for the Hilbert – Pólya conjecture, for reasons that are anecdotal.

Enumerative graph theory then rose from the results of Cayley and the fundamental results published by Pólya between 1935 and 1937 and the generalization of these by De Bruijn in 1959.

Harary donated all of the royalties to fund the Pólya Prize.

George Pólya ( December 13, 1888 – September 7, 1985, in Hungarian Pólya György ) was a Hungarian Jewish mathematician.

He was born as Pólya György in Budapest, Austria-Hungary to originally Ashkenazi Jewish parents Anna Deutsch and Jakab Pólya who converted to Roman Catholicism in 1886.

In How to Solve It, Pólya provides general heuristics for solving problems of all kinds, not only mathematical ones.

In 1969 the Society for Industrial and Applied Mathematics established the George Pólya Prize, given alternately in two categories for " a notable application of combinatorial theory " and for " a notable contribution in another area of interest to George Pólya.

" In 1976 the Mathematical Association of America established the George Pólya Award " for articles of expository excellence " published in the College Mathematics Journal.

In 1987 the London Mathematical Society established the Pólya Prize for " outstanding creativity in, imaginative exposition of, or distinguished contribution to, mathematics within the United Kingdom.

The Pascal distribution ( after Blaise Pascal ) and Polya distribution ( for George Pólya ) are special cases of the negative binomial.

In Budapest he was taught mainly by Fejér, Beke, Kürschák and Bauer and made the acquaintance of his future collaborators George Pólya and Michael Fekete.

However the inverse of we < sup > w </ sup > was first described by Pólya and Szegő in 1925.

The Pólya conjecture is a conjecture made by George Pólya in 1919.

This example was used by George Pólya as an example of the subtle errors that can occur in attempts to prove statements by induction.

Assuming the truth of the GRH, the estimate of the character sum in the Pólya – Vinogradov inequality can be improved to, q being the modulus of the character.

George Pólya and Weyl, during a mathematicians ' gathering in Zürich ( 9 February 1918 ), made a bet concerning the future direction of mathematics.

The MAA distributes many prizes, including the Chauvenet Prize and the Carl B. Allendoerfer, Trevor Evans, Lester R. Ford, George Pólya, Merten M. Hasse, and Henry L. Alder awards.

As the preface to the 2nd edition ( 1976 ) notes, the first edition ( 1955 ) appears to have received relatively little attention from the literary establishment because of its then-unfashionable Marxist viewpoint.

As the translator himself notes in his preface to the three volumes, " o attempt has been made to superimpose on the translation changes that would be needed to ' rectify ' ... accretions, ... repetitions, non sequiturs and confusions that mark the present text ," and the work is a " representation of what is primarily oral literature, appealing to the ear rather than the eye.

He expressed great admiration for Ibn Khaldun and in particular the Muqaddimah ( 1377 ), the preface to Ibn Khaldun's own universal history, which notes many systemic biases that intrude on historical analysis via the evidence, and presents an early theory on the cycle of civilisations ( Asabiyyah ).

His fame rests chiefly on the preface and notes to his translation of Samuel Pufendorf's treatise De Jure Naturae et Gentium, translated as Of the Law of Nature and Nations, 4th ed., 1729, London, by B. Kennett et al.

Rogers compiled the completed work and added the preface, some marginal notes, a calendar and an almanac.

( Reprinted with preface and notes by Giuseppe De Luca, Edizioni di Storia e Letteratura, Roma, 1961 )

* Jean-Paul Sartre Existentialism Is a Humanism ( translated by Carol Macomber, introduction by Annie Cohen-Solal, notes and preface by Arlette Elkaïm-Sartre ) Yale University Press, New Haven, 2007 ISBN 978-0-300-11546-8

The edition of Leers was a reproduction of the work as first printed, with a new preface, notes, and those other writings which had appeared for and against the work up to that date ; it included Simon's answers to criticisms of Charles de Veil and Friedrich Spanheim the Younger.

Translated by Charles Johnston, Introduction and notes by Michael Basker, with a preface by John Bayley ( Revised Edition ) ISBN 0-14-044803-9

In the preface of the novel he notes that the story originally came from a desire on his part to write a detective story where the principal character, the villain, is ignorant of who the detective is.

Fell probably had some share in the composition of The Whole Duty of Man, and in the subsequent works published under the name of the author of The Whole Duty, which included Reasons of the Decay of Christian Piety, The Ladies ' Calling, The Gentleman's Calling, The Government of the Tongue, The Art of Contentment, and The Lively Oracles given us, all of which were published in one volume with notes and a preface by Fell in 1684.

A translation into English, with notes and preface, by Bishop Thomas Percy, was issued in 1770 under the title of Northern Antiquities ( republished with additions in 1847 ).

The historian Meir Shahar notes Yue's mention in the second preface of the Sinew-Changing Classic ( 1624 ) is what " spurred a wave of allusions to the patriotic hero in later military literature ".

The first complete edition of the Mémoires de Louvet de Couvrai, edited, with preface, notes and tables, by François Victor Alphonse Aulard, was published in Paris in 1889.

In what was apparently supposed to be a retrospectively-written preface to the re-published Diaries, Mole notes their re-publication in novel-form and suggests that Townsend is impersonating him and profiting from his writings.

In the preface he notes:

... With a preface, dissertations, notes, and a glossary by J. Ritson, by Laurence Minot and Joseph Ritson ( editor ), 1795

Since the Wycliffe Bible conformed fully to Catholic teaching, it was rightly considered to be an unauthorized Roman Catholic version of the Vulgate text but with heretical preface and notes added.

As he writes in the preface to Testimony, Volkov's interviews with Shostakovich consisted of questions to which the composer provided " brief " and " reluctant " answers, and which Volkov compiled in a " mound of shorthand notes.

He studied military history, with a graduate degree, but is seen as an average officer ; Coyle notes in the preface that Bannon will probably never rise in rank above lieutenant colonel.

O ' Brian notes this in the preface.

Its notes were strongly anti-Protestant, and in its preface it explains its existence by saying that Protestants have been guilty of " casting the holy to dogs and pearls to hogs.

Larkin writes in the short preface that the selection is wide rather than deep ; and also notes that for the post-1914 period it is more a collection of poems, than of poets.