Pólya, George 1887-1985

Overview

Works:	379 works in 2,112 publications in 10 languages and 25,408 library holdings
Genres:	Biography Portraits Bibliography History
Roles:	Author, Editor, Dedicatee, Honoree, Correspondent
Classifications:	QA11, 510.7

Publication Timeline

Most widely held works about George Pólya

The Pólya picture album : encounters of a mathematician by George Pólya( Book )
The random walks of George Pólya by Gerald L Alexanderson( Book )
Studies in mathematical analysis and related topics; essays in honor of George Pólya by Gábor Szegő( Book )
Collected papers by George Pólya( Book )
George Pólya : master of discovery 1887-1985 by Harold D Taylor( Book )

Let us teach guessing : 3, 4, 10, a demonstration by George Pólya( Visual )
The heuristic of George Polya and its relation to artificial intelligence by Allen Newell( Book )
Collected papers by George Pólya( Book )
Enumeration in musical theory by Harald Fripertinger( Book )
On the solution of Moser's problem in four dimensions, and related issues : a collection of two papers, On the solution of Moser's problems in four dimensions, and, Independent permutations as related to a problem of Moser and a theorem of Pólya by Ashok K Chandra( Book )
A simple improvement of a theorem of Pólya by Jin-yi Cai( Book )
Papers of Bruno de Finetti by Bruno De Finetti( )
An analysis of the patterns of plausible inference proposed by George Polya by Milton Frank Pope( )
George and Alexandra Forsythe papers by George E Forsythe( )
Schoenberg, I.J., papers by I. J Schoenberg( )
The problem solving techniques of George Polya by Robert Irby( )
Jacob David Tamarkin correspondence by J. D Tamarkin( )
On the HELP inequality and its extension to the þ-Laplacian by Simon Aumann( Book )
Polya's counting theory by David S Chandler( )
Polya's enumeration formula by Christine Mengès-Le Pape( )

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Most widely held works by George Pólya

How to solve it : a new aspect of mathematical method by George Pólya( Book )

138 editions published between 1945 and 2014 in 4 languages and held by 3,465 WorldCat member libraries worldwide

Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results

Mathematical discovery; on understanding, learning, and teaching problem solving by George Pólya( Book )

50 editions published between 1962 and 2009 in English and Undetermined and held by 1,873 WorldCat member libraries worldwide

Patterns; The pattern of two loci; The cartesian pattern; Recursion; Superposition; Toward a general method; Problems; Widening the scope; Solutions; Appendix; Bibliography; Index

Mathematics and plausible reasoning by George Pólya( Book )

82 editions published between 1954 and 2014 in 3 languages and held by 1,866 WorldCat member libraries worldwide

"Here the author of How to Solve It explains how to become a "good guesser." Marked by G. Polya's simple, energetic prose and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guessing, inductive reasoning, and reasoning by analogy, and the role they play in the most rigorous of deductive disciplines."--Book cover

Problems and theorems in analysis by George Pólya( Book )

192 editions published between 1972 and 2004 in 4 languages and held by 1,492 WorldCat member libraries worldwide

From the reviews: " ... In the past, more of the leading mathematicians proposed and solved problems than today, and there were problem departments in many journals. Pólya and Szego must have combed all of the large problem literature from about 1850 to 1925 for their material, and their collection of the best in analysis is a heritage of lasting value. The work is unashamedly dated. With few exceptions, all of its material comes from before 1925. We can judge its vintage by a brief look at the author indices (combined). Let's start on the C's: Cantor, Carathéodory, Carleman, Carlson, Catalan, Cauchy, Cayley, Cesàro ... Or the L's: Lacour, Lagrange, Laguerre, Laisant, Lambert, Landau, Laplace, Lasker, Laurent, Lebesgue, Legendre ... Omission is also information: Carlitz, Erdös, Moser, etc."Bull. Americ. Math. Soc

Aufgaben und Lehrsätze aus der Analysis by George Pólya( Book )

198 editions published between 1925 and 2000 in 6 languages and held by 1,201 WorldCat member libraries worldwide

Inequalities by G. H Hardy( Book )

131 editions published between 1934 and 2004 in 5 languages and held by 1,156 WorldCat member libraries worldwide

"This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians."--Publisher's website

Mathematical methods in science by George Pólya( Book )

36 editions published between 1963 and 2012 in 3 languages and held by 942 WorldCat member libraries worldwide

Applied combinatorial mathematics by Edwin F Beckenbach( Book )

20 editions published between 1964 and 1981 in English and Undetermined and held by 876 WorldCat member libraries worldwide

Complex variables by George Pólya( Book )

22 editions published between 1974 and 1984 in English and Undetermined and held by 713 WorldCat member libraries worldwide

Notes on introductory combinatorics by George Pólya( Book )

30 editions published between 1983 and 2010 in English and German and held by 680 WorldCat member libraries worldwide

Developed from the authors' introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and Pólya's Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths. This introduction will provide students with a solid foundation in the subject. -- "This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by Pólya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting mini-textbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the Birkhäuser publishers produced a very pleasant text. One can count on [Pólya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theory ... [The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading."--Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya."--Zentralblatt MATH (Review of the original hardcover edition)

Combinatorial enumeration of groups, graphs, and chemical compounds by George Pólya( Book )

18 editions published between 1987 and 2012 in English and German and held by 537 WorldCat member libraries worldwide

In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst

The Stanford mathematics problem book: with hints and solutions by George Pólya( Book )

28 editions published between 1974 and 2013 in English and held by 482 WorldCat member libraries worldwide

This volume features a complete set of problems, hints, and solutions based on Stanford University's well-known competitive examination in mathematics. It offers students at both high school and college levels an excellent mathematics workbook. Filled with rigorous problems, it assists students in developing and cultivating their logic and probability skills. 1974 edition

Induction and analogy in mathematics by George Pólya( Book )

44 editions published between 1954 and 1990 in English and Undetermined and held by 299 WorldCat member libraries worldwide

Singularities of analytic functions by George Pólya( Book )

3 editions published in 1974 in French and held by 244 WorldCat member libraries worldwide

Location of zeros by George Pólya( Book )

3 editions published in 1974 in English and held by 242 WorldCat member libraries worldwide

Patterns of plausible inference by George Pólya( Book )

40 editions published between 1954 and 2009 in English and Undetermined and held by 220 WorldCat member libraries worldwide

Schule des Denkens : vom Lösen mathematischer Probleme by George Pólya( Book )

16 editions published between 1949 and 1995 in German and Undetermined and held by 212 WorldCat member libraries worldwide

Collected papers by George Pólya( Book )

50 editions published between 1974 and 2000 in 4 languages and held by 155 WorldCat member libraries worldwide

Comment poser et résoudre un problème : mathématique, physique, jeux, philosophie by George Pólya( Book )

31 editions published between 1957 and 1989 in French and English and held by 68 WorldCat member libraries worldwide

Vom Lösen mathematischer Aufgaben : Einsicht und Entdeckung, Lernen und Lehren by George Pólya( Book )

6 editions published in 1983 in German and held by 65 WorldCat member libraries worldwide

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Audience Level