WorldCat Identities

Pólya, George 1887-1985

Works: 301 works in 1,545 publications in 15 languages and 22,315 library holdings
Genres: Portraits  Biography  History  Bibliography 
Roles: Author, Editor, Dedicatee, Correspondent
Classifications: QA43, 510.7
Publication Timeline
Most widely held works about George Pólya
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Most widely held works by George Pólya
How to solve problems; elements of a theory of problems and problem solving by George Pólya( Book )

190 editions published between 1945 and 2014 in 14 languages and held by 3,826 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
Mathematics and plausible reasoning by George Pólya( Book )

93 editions published between 1954 and 2014 in English and Undetermined and held by 2,225 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
Mathematical discovery; on understanding, learning, and teaching problem solving by George Pólya( Book )

69 editions published between 1962 and 2009 in English and Undetermined and held by 1,935 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
Problems and theorems in analysis by George Pólya( Book )

112 editions published between 1972 and 2004 in 3 languages and held by 1,270 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 )

148 editions published between 1925 and 1971 in 3 languages and held by 1,003 WorldCat member libraries worldwide

Inequalities by G. H Hardy( Book )

89 editions published between 1934 and 2004 in English and Undetermined and held by 994 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
Mathematical methods in science by George Pólya( Book )

22 editions published between 1963 and 1998 in English and held by 986 WorldCat member libraries worldwide

Applied combinatorial mathematics by Edwin F Beckenbach( Book )

18 editions published between 1964 and 1981 in English and Undetermined and held by 895 WorldCat member libraries worldwide

Complex variables by George Pólya( Book )

18 editions published between 1974 and 1984 in English and Undetermined and held by 722 WorldCat member libraries worldwide

Notes on introductory combinatorics by George Pólya( Book )

29 editions published between 1983 and 2010 in English and German and held by 682 WorldCat member libraries worldwide

Developed from the authors{u2019} 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{u2019}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{u2026}[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." {u2014}Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya." {u2014}Zentralblatt MATH (Review of the original hardcover edition)
Isoperimetric inequalities in mathematical physics by George Pólya( Book )

36 editions published between 1951 and 1966 in 4 languages and held by 562 WorldCat member libraries worldwide

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

13 editions published between 1987 and 2012 in English and German and held by 525 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 )

20 editions published between 1974 and 2013 in English and held by 472 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
Vom Lösen mathematischer Aufgaben : Einsicht und Entdeckung, Lernen und Lehren by George Pólya( Book )

32 editions published between 1966 and 2014 in German and held by 260 WorldCat member libraries worldwide

Zwar nur gelesenoder gehort abermit echtemInteresse und wirkIicher Einsicht verfolgt hat, kann zu einem Schema werden, zu einem Vor bild, das sich bei der Losung ahnlicher Aufgaben mit Vorteil nacho ahmen laBt. Teil 1 setzt sioh zum Ziel, den Leser mit einigen der artigen besonders niitzlichen Schemata bekanntzumachen. Es mag leicht sein, die LOsungeiner Aufgabe nachzuahmen, wenn man eineihr sehr ahnliche zu losenhat; eine solcheNachahmung wird sehwieriger oder kaum moglich sein, wenn keine sostarke AhnIichkeit vorliegt. Auch ist ein Verlangen nach etwas, was mehr ist als bloBe Nachahmung, tief verwurzelt in der menschlichen Natur: ein Ver langen nach einem Verfahren, das, von Einschrankungen frei, aile Probleme, aile Aufgaben im weitesten Sinn losen kann. Dieses Ver langen mag bei vielen Menschen dunkel bleiben, aber es tritt in ein paarMarchen - der Lesererinnertsiohvieileicht an die Geschichte von dem Zauberwort, das aile Tiiren offnet - und in den Schriften einiger Philosophen zutage. Descartes hat sioh intensiv mit der Idee einer universellen Methode zur Losung ailer Probleme befaBt, und Leibnitz hat die Idee einer vollkommenen Methode sehr klar formuliert. Aber die Suche nach einer universeilen vollkommenen Methode ist ebenso erfolglos geblieben wie die Suche nach dem Stein der Weisen, der niedrige Metaile in Gold verwandeln soilte; es gibt groBeTraume, die Traume bleiben mtissen. Dennoch iiben solche unerreichbaren Ideale ihren EinfluB aus: Es hat noch niemand den Polarstem erreicht, aber vielehaben siohnach ihm gerichtetund soden richtigenWeggefunden
Singularities of analytic functions by George Pólya( Book )

3 editions published in 1974 in French and held by 249 WorldCat member libraries worldwide

Mathematische Werke von Adolf Hurwitz by Adolf Hurwitz( Book )

4 editions published in 1962 in German and held by 137 WorldCat member libraries worldwide

Studies in mathematical analysis and related topics; essays in honor of George Pólya by George Pólya( Book )

8 editions published in 1962 in English and Italian and held by 39 WorldCat member libraries worldwide

Let us teach guessing a demonstration with George Polya by George Pólya( Visual )

8 editions published between 1965 and 2005 in English and German and held by 26 WorldCat member libraries worldwide

Pólya leads an undergraduate class to discover the number of parts into which 3-space is divided by five arbitrary planes. He identifies the steps involved in plausible reasoning, and points out that they constitute a program for attacking any mathematical or scientific problem
The Pólya picture album : encounters of a mathematician by George Pólya( Book )

6 editions published in 1987 in English and held by 20 WorldCat member libraries worldwide

Collected papers by George Pólya( Book )

3 editions published in 1974 in English and held by 8 WorldCat member libraries worldwide

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Audience level: 0.43 (from 0.12 for Mathematic ... to 0.94 for Collected ...)

How to solve problems; elements of a theory of problems and problem solving
Alternative Names
Corc Polya

Đerđ Poja

George Polya matematico ungherese

George Pólya ungarisch-US-amerikanischer Mathematiker

György Pólya

György Pólya Hongaars wiskundige (1887-1985)

Poĭa, D.

Poja, D.

Poja, D. 1887-1985

Poja, Džordž.

Poja, Džordž 1887-1985

Polia, G.

Polia, G. 1887-1985

Poliya, Jorj 1887-1985

Pollák, George 1887-1985

Pólya, G.

Pólya, G. 1887-1985

Pólya, G. (George), 1887-1985

Pólya, G. (György), 1887-1985

Polya, Georg

Pólya, Georg 1887-1985

Pólya, George

Pólya, George 1887-1985

Polya Georges 1887-1985

Pólya, Görgy

Pólya, Görgy 1887-1985

Pólya, Gyoergy 1887-1985

Pólya, György

Pólya, György 1887-1985

Дьёрдь Пойа венгерский, швейцарский и американский математик

Дьорд Пойа

Дьордь Пойа

Пойа, Д 1887-1985

Пойа, Дж 1887-1985

Пойа, Джордж

Полиа, Г..

Полиа Г. 1887-1985

Полиа Д. 1887-1985

Ђерђ Поја

ג'ורג' פוליה

جورج بوليا

جورج پولیا

조지 폴리아

ポーヤ, G


ポリア, G.


Mathematics and plausible reasoningMathematical discovery; on understanding, learning, and teaching problem solvingProblems and theorems in analysisAufgaben und Lehrsätze aus der AnalysisInequalitiesMathematical methods in scienceNotes on introductory combinatoricsThe Stanford mathematics problem book: with hints and solutionsSingularities of analytic functions