WorldCat Identities

Pólya, George 1887-1985

Works: 536 works in 2,224 publications in 10 languages and 25,906 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
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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 )

113 editions published between 1945 and 2014 in 3 languages and held by 3,345 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 methods in science by George Pólya( )

32 editions published between 1963 and 2014 in English and Chinese and held by 2,180 WorldCat member libraries worldwide

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

83 editions published between 1962 and 2009 in English 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
Mathematics and plausible reasoning by George Pólya( Book )

92 editions published between 1954 and 2014 in English and Undetermined and held by 1,885 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
Inequalities by G. H Hardy( Book )

128 editions published between 1934 and 2004 in 4 languages and held by 1,844 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
Notes on introductory combinatorics by George Pólya( Book )

33 editions published between 1983 and 2013 in English and German and held by 1,140 WorldCat member libraries worldwide

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations
Aufgaben und Lehrsätze aus der Analysis by George Pólya( Book )

120 editions published between 1925 and 2000 in 6 languages and held by 1,085 WorldCat member libraries worldwide

Applied combinatorial mathematics by Edwin F Beckenbach( Book )

21 editions published between 1964 and 1981 in English and Undetermined and held by 877 WorldCat member libraries worldwide

Problems and theorems in analysis by George Pólya( Book )

35 editions published between 1972 and 1998 in English and German and held by 798 WorldCat member libraries worldwide

Isoperimetric inequalities in mathematical physics by George Pólya( Book )

40 editions published between 1951 and 2016 in 4 languages and held by 771 WorldCat member libraries worldwide

The book description for the forthcoming "Isoperimetric Inequalities in Mathematical Physics. (AM-27)" is not yet available
Complex variables by George Pólya( Book )

29 editions published between 1974 and 1995 in 3 languages and held by 748 WorldCat member libraries worldwide

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 593 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 )

27 editions published between 1974 and 2013 in English and held by 581 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 high school and college students an excellent mathematics workbook of rigorous problems that will assist in developing and cultivating their logic and probability skills. These 20 sets of intriguing problems test originality and insight rather than routine competence. They involve theorizing and verifying mathematical facts; examining the results of general statements; discovering that highly plausible conjectures can be incorrect; solving sequences of subproblems to reveal theory construction; and recognizing "red herrings," in which obvious relationships among the data prove irrelevant to solutions. Hints for each problem appear in a separate section, and a final section features solutions that outline the appropriate procedures. Ideal for teachers seeking challenging practice math problems for their gifted students, this book will also help students prepare for mathematics, science, and engineering programs. Mathematics buffs of all ages will also find it a source of captivating challenges
Problems and theorems in analysis by George Pólya( Book )

60 editions published between 1972 and 2004 in English and German and held by 328 WorldCat member libraries worldwide

The present English edition is not a mere translation of the German original. Many new problems have been added and there are also other changes, mostly minor. Yet all the alterations amount to less than ten percent of the text. We intended to keep intact the general plan and the original flavor of the work. Thus we have not introduced any essentially new subject matter, although the mathematical fashion has greatly changed since 1924. We have restricted ourselves to supplementing the topics originally chosen. Some of our problems first published in this work have given rise to extensive research. To include all such developments would have changed the character of the work, and even an incomplete account, which would be unsatisfactory in itself, would have cost too much labor and taken up too much space. We have to thank many readers who, since the publication of this work almost fifty years ago, communicated to us various remarks on it, some of which have been incorporated into this edition. We have not listed their names; we have forgotten the origin of some contributions, and an incomplete list would have been even less desirable than no list. The first volume has been translated by Mrs. Dorothee Aeppli, the second volume by Professor Claude Billigheimer. We wish to express our warmest thanks to both for the unselfish devotion and scrupulous conscientiousness with which they attacked their far from easy task
Problems and theorems in analysis by George Pólya( Book )

48 editions published between 1976 and 2004 in English and German and held by 325 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
Schule des Denkens : vom Lösen mathematischer Probleme by George Pólya( Book )

16 editions published between 1949 and 2010 in German and held by 272 WorldCat member libraries worldwide

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

29 editions published between 1966 and 2014 in German and held by 255 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 )

6 editions published in 1974 in English and French and held by 251 WorldCat member libraries worldwide

Location of zeros by George Pólya( Book )

3 editions published in 1974 in English and held by 248 WorldCat member libraries worldwide

Patterns of plausible inference by George Pólya( Book )

25 editions published between 1954 and 2009 in English and Undetermined and held by 194 WorldCat member libraries worldwide

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Audience Level
Audience Level
  Kids General Special  
Audience level: 0.40 (from 0.09 for Mathematic ... to 0.90 for George Pó ...)

How to solve it : a new aspect of mathematical method
Mathematical methods in scienceMathematical discovery : on understanding, learning, and teaching problem solvingMathematics and plausible reasoningInequalitiesNotes on introductory combinatoricsAufgaben und Lehrsätze aus der AnalysisProblems and theorems in analysisThe Stanford mathematics problem book: with hints and solutions
Alternative Names
Corc Polya

Đerđ Poja

George Pólya amerykański matematyk oraz dydaktyk matematyki

George Pólya matemàtic hongarès

George Pólya matematician maghiar

George Pólya matemático húngaro

George Polya matematico ungherese

George Pólya mathématicien hongrois

George Pólya Ungari matemaatik

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

Poliya, Jorj 1887-1985

Pollák, George 1887-1985

Pólya G.

Pólya, G. 1887-1985

Pólya, G. (George), 1887-1985

Pólya, G. (György), 1887-1985

Pólya, 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

Pólya György magyar matematikus, fizikus és metodológus

Дьёрдь Пойа венгерский, швейцарский и американский математик

Дьорд Пойа

Дьордь Пойа

Дьордь Пойа угорський, швейцарський і американський математик

Пойа Д

Пойа, Д 1887-1985

Пойа, Дж 1887-1985

Пойа, Джордж

Пойа Дьердь

Пойя Джордж

Полиа Г.

Полиа Г. 1887-1985

Полиа Георг

Полиа Д

Полиа Д. 1887-1985

Полиа, Джордж

Полия, Джордж

Полья Георг

Ђерђ Поја

Ջորջ Փոյա

ג'ורג' פוליה

ג'ורג' פוליה מתמטיקאי הונגרי

جرج پولیا

جورج بوليا

جورج بوليا رياضياتي مجري

جورج پولیا

조지 폴리아

조지, 폴리아 1887-1985

죄르지, 포여 1887-1985

ポーヤ, G


ポリア, G.