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== Selected publications == [[File:George Polya and Gabor Szego in Berlin.jpg|thumb|Pólya and Gábor Szegő in Berlin, delivering the manuscript of ''[[Aufgaben und Lehrsätze aus der Analysis]]'' to Springer.]] === Books === * ''[[Aufgaben und Lehrsätze aus der Analysis]]'', 1st edn. 1925.<ref>{{cite journal|author=Tamarkin, J. D.|author-link=Jacob Tamarkin|title=Review: ''Aufgaben und Lehrsätze aus der Analysis'', vols. 1 & 2, by George Pólya and Gábor Szegő|journal=Bull. Amer. Math. Soc.|year=1928|volume=34|issue=2|pages=233–234|url=https://www.ams.org/journals/bull/1928-34-02/S0002-9904-1928-04522-6/S0002-9904-1928-04522-6.pdf |archive-url=https://web.archive.org/web/20150402094843/http://www.ams.org/journals/bull/1928-34-02/S0002-9904-1928-04522-6/S0002-9904-1928-04522-6.pdf |archive-date=2015-04-02 |url-status=live|doi=10.1090/s0002-9904-1928-04522-6|doi-access=free}}</ref> ("Problems and theorems in analysis“). Springer, Berlin 1975 (with [[Gábor Szegő]]). # ''Reihen''. 1975, 4th edn., {{ISBN|3-540-04874-X}}. # ''Funktionentheorie, Nullstellen, Polynome, Determinanten, Zahlentheorie''. 1975, 4th edn., {{ISBN|3-540-05456-1}}. * ''Mathematik und plausibles Schliessen<!-- sic -->''. Birkhäuser, Basel 1988, # ''Induktion und Analogie in der Mathematik'', 3rd edn., {{ISBN|3-7643-1986-0}} (Wissenschaft und Kultur; 14). # ''Typen und Strukturen plausibler Folgerung'', 2nd edn., {{ISBN|3-7643-0715-3}} (Wissenschaft und Kultur; 15). * – English translation: ''[[Mathematics and Plausible Reasoning]]'', Princeton University Press 1954, 2 volumes (Vol. 1: ''Induction and Analogy in Mathematics'', Vol. 2: ''Patterns of Plausible Inference'') * ''Schule des Denkens. Vom Lösen mathematischer Probleme'' ("How to solve it"). 4th edn. Francke Verlag, Tübingen 1995, {{ISBN|3-7720-0608-6}} (Sammlung Dalp). * – English translation: ''[[How to Solve It]]'', Princeton University Press 2004 (with foreword by [[John Horton Conway]] and added exercises) * ''Vom Lösen mathematischer Aufgaben''. 2nd edn. Birkhäuser, Basel 1983, {{ISBN|3-7643-0298-4}} (Wissenschaft und Kultur; 21). * – English translation: ''Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving'', 2 volumes, Wiley 1962 (published in one vol. 1981) * ''Collected Papers'', 4 volumes, MIT Press 1974 (ed. Ralph P. Boas). Vol. 1: Singularities of Analytic Functions, Vol. 2: Location of Zeros, Vol. 3: Analysis, Vol. 4: Probability, Combinatorics * with R. C. Read: ''Combinatorial enumeration of groups, graphs, and chemical compounds'', Springer Verlag 1987 (English translation of ''Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen'', Acta Mathematica, vol. 68, 1937, pp. 145–254) {{ISBN|978-0387964133}} * with [[Godfrey Harold Hardy]]: [[John Edensor Littlewood]] ''Inequalities'', Cambridge University Press 1934 * [https://archive.org/details/MATHMETODSSCIENCE ''Mathematical Methods in Science''], MAA, Washington D. C. 1977 (ed. Leon Bowden) {{ISBN|0-88385-626-3}} * with Gordon Latta: ''Complex Variables'', Wiley 1974 * with [[Robert E. Tarjan]], Donald R. Woods: ''Notes on introductory combinatorics'', Birkhäuser 1983 {{ISBN|978-3-7643-3170-2}} * with Jeremy Kilpatrick: ''The Stanford mathematics problem book: with hints and solutions'', New York: Teachers College Press 1974 * with several co-authors: ''Applied combinatorial mathematics'', Wiley 1964 (ed. [[Edwin F. Beckenbach]]) * with Gábor Szegő: [https://books.google.com/books?id=HWc8gFW2XXgC ''Isoperimetric inequalities in mathematical physics''], Princeton, Annals of Mathematical Studies 27, 1951 === Articles === *{{cite journal|title=On the mean-value theorem corresponding to a given linear homogeneous differential equation|journal=Trans. Amer. Math. Soc.|year=1922|volume=24|issue=4|pages=312–324|mr=1501228|doi=10.1090/s0002-9947-1922-1501228-5|doi-access=free|last1=Pólya|first1=G.}} *{{cite journal|last1=Pólya|first1=G.|title=Untersuchungen Über Lücken Und Singularitäten Von Potenzreihen|journal=Ann. Math.|year=1933|volume=34|issue=4|pages=731–77|doi=10.2307/1968698|doi-access=free|jstor=1968698}} *{{cite journal|title=On Functions Whose Derivatives Do Not Vanish in a Given Interval|journal=Proc Natl Acad Sci U S A|year=1941|volume=27|issue=4|pages=216–218|pmc=1078308|doi=10.1073/pnas.27.4.216|pmid=16578010|last1=Polya|first1=G.|bibcode=1941PNAS...27..216P|doi-access=free}} *{{cite journal|title=Sur l'existence de fonctions entières satisfaisant à certaines conditions linéaires|journal=Trans. Amer. Math. Soc.|year=1941|volume=50|issue=1|pages=129–139|mr=0004304|doi=10.2307/1989913|jstor=1989913|last1=Polya|first1=G.}} *with [[Ralph P. Boas, Jr.]]: {{cite journal|title=Generalizations of Completely Convex Functions|journal=Proc Natl Acad Sci U S A|year=1941|volume=27|issue=6|pages=323–325|pmc=1078330|pmid=16588467|doi=10.1073/pnas.27.6.323|last1=Boas|first1=R. P.|last2=Polya|first2=G.|bibcode=1941PNAS...27..323B|doi-access=free}}<!-- the pmc index has "Generalization" instead of "Generalizations" --> *{{cite journal|title=On converse gap theorems|journal=Trans. Amer. Math. Soc.|year=1942|issue=1|volume=52|pages=65–71|mr=0006577|doi=10.1090/s0002-9947-1942-0006577-0|doi-access=free|last1=Pólya|first1=George}} *with [[Norbert Wiener]]: {{cite journal|title=On the oscillation of the derivatives of a periodic function|journal=Trans. Amer. Math. Soc.|year=1942|volume=52|issue=2|pages=249–256|mr=0007169|doi=10.1090/s0002-9947-1942-0007169-x|doi-access=free|last1=Pólya|first1=George|last2=Wiener|first2=Norbert}} *{{cite journal|title=On the zeros of a derivative of a function and its analytic character|journal=Bull. Amer. Math. Soc.|year=1943|volume=49, Part 1|issue=3|pages=178–191|mr=0007781|doi=10.1090/s0002-9904-1943-07853-6|doi-access=free|url=https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society/volume-49/issue-3.P1/On-the-zeros-of-the-derivatives-of-a-function-and/bams/1183505036.pdf}} *{{cite journal|title=A Minimum Problem About the Motion of a Solid Through a Fluid|journal=Proc Natl Acad Sci U S A|year=1947|volume=33|issue=7|pages=218–221|pmc=1079030|pmid=16588747|doi=10.1073/pnas.33.7.218|last1=Polya|first1=G.|bibcode=1947PNAS...33..218P|doi-access=free}} *{{cite journal|title=Remark on Weyl's Note "Inequalities Between the Two Kinds of Eigenvalues of a Linear Transformation|journal=Proc Natl Acad Sci U S A|year=1950|volume=36|issue=1|pages=49–51|pmc=1063130|doi=10.1073/pnas.36.1.49|pmid=16588947|last1=Polya|first1=G.|bibcode=1950PNAS...36...49P|doi-access=free}}
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