Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Grundlehren der mathematischen Wissenschaften)

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9783540069720: Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry (Grundlehren der mathematischen Wissenschaften)

Few mathematical books are worth translating 50 years after original publication. Polyá-Szegö is one! It was published in German in 1924, and its English edition was widely acclaimed when it appeared in 1972. In the past, more of the leading mathematicians proposed and solved problems than today. Their collection of the best in analysis is a heritage of lasting value.

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About the Author:

Biography of George Pólya

Born in Budapest, December 13, 1887, George Pólya initially studied law, then languages and literature in Budapest. He came to mathematics in order to understand philosophy, but the subject of his doctorate in 1912 was in probability theory and he promptly abandoned philosophy.
After a year in Göttingen and a short stay in Paris, he received an appointment at the ETH in Zürich. His research was multi-faceted, ranging from series, probability, number theory and combinatorics to astronomy and voting systems. Some of his deepest work was on entire functions. He also worked in conformal mappings, potential theory, boundary value problems, and isoperimetric problems in mathematical physics, as well as heuristics late in his career. When Pólya left Europe in 1940, he first went to Brown University, then two years later to Stanford, where he remained until his death on September 7, 1985.


Biography of Gabor Szegö

Born in Kunhegyes, Hungary, January 20, 1895, Szegö studied in Budapest and Vienna, where he received his Ph. D. in 1918, after serving in the Austro-Hungarian army in the First World War. He became a privatdozent at the University of Berlin and in 1926 succeeded Knopp at the University of Kšnigsberg. It was during his time in Berlin that he and Pólya collaborated on their great joint work, the Problems and Theorems in Analysis. Szegö's own research concentrated on orthogonal polynomials and Toeplitz matrices. With the deteriorating situation in Germany at that time, he moved in 1934 to Washington University, St. Louis, where he remained until 1938, when he moved to Stanford. As department head at Stanford, he arranged for Pólya to join the Stanford faculty in 1942. Szegö remained at Stanford until his death on August 7, 1985.

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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.

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Pólya, George ; Szegö, Gábor
Published by Springer, Berlin [u.a.] (1976)
ISBN 10: 3540069720 ISBN 13: 9783540069720
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Book Description Springer, Berlin [u.a.], 1976. Hardcover. Book Condition: Gut. 24,5cm XI; 391. Hardcover. Sprache: Englisch, Zustand: Gut bis Sehr Gut min. bis gering gebräunt (Innen); Bibliotheksex. mit Klebestreifenrest (Außen); Besitzerstempel (Innen); Einband Außen hat geringe bis leichte Gebrauchsspuren; Vorderdeckel ist unten leicht fleckig; Stempel auf oberen und unteren Schnitt; Schnitt oben ist gering angestaubt und hat ein Fleck an einer Stelle; Schutzumschlag fehlt, oder es gibt keinen; 930 Gramm. Buch. Bookseller Inventory # 401855

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Polya, George, Szeg?, Gabor
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Book Description Springer, 1976. Book Condition: Good. 1998th Edition. Ships from the UK. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP97110005

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Polya, George; Szegö, Gabor; Billigheimer, C.E. [Translator]
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Book Description Springer, 1976. Hardcover. Book Condition: Used: Good. Ex-Library hardcover in good condition with all the usual markings and attachments. Sunned spine. Text block clean and unmarked. Tight binding. Bookseller Inventory # GL17A34840

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George Polya, Gabor Szego et C. E. Billigheimer
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Book Description Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1976. Hardcover. Book Condition: Bon. Ancien livre de bibliothèque. Edition 1976. Tome 2. Ammareal reverse jusqu'à 15% du prix net de ce livre à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Edition 1976. Tome 2. Ammareal gives back up to 15% of this book's net price to charity organizations. Bookseller Inventory # A-736-333

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Book Description Book Condition: D'occasion - Bon état. Problems and Theorems in Analysis II | Polya/Szego | Springer-Verlag, 1976, in-8 cartonnage éditeur, 391 pages. Solide couverture légèrement passée. Menus frottements en coins, sans gravité. Intérieur frais. [BT3+]. Bookseller Inventory # Q7-JTJD-EQMA

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Book Description Springer, 1976. Book Condition: Good. Volume 2. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. , 900grams, ISBN:3540069720. Bookseller Inventory # 6434381

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George Polya, Gabor Szeg?, C.E. Billigheimer (Translator)
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Book Description Springer, 1976. Hardcover. Book Condition: Used: Good. 1. Bookseller Inventory # SONG3540069720

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