Overview
- Very few mathematical books are worth translating 50 years after their original publication. Polyá-Szegö is one!
- It was published in German by Springer in 1924, its English edition was widely acclaimed when it appeared from 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
Part of the book series: Classics in Mathematics (CLASSICS)
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Table of contents (18 chapters)
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Front Matter
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Infinite Series and Infinite Sequences
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Functions of One Complex Variable General Part
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Back Matter
Keywords
About this book
Reviews
From the reviews: "The present English edition is not a mere translation of the German original. Many new problems have been added. (Jahresb. DMV) "There are some excellent books which are indispensable to the instruction of indeed good mathematicians and this volume is, without any doubt, one of them. The broad horizon of the book, its clear style and logical construction are some of the qualities which assure
From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research." -Bulletin of the American Mathematical Society
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Problems and Theorems in Analysis I
Book Subtitle: Series. Integral Calculus. Theory of Functions
Authors: George Pólya, Gabor Szegö
Series Title: Classics in Mathematics
DOI: https://doi.org/10.1007/978-3-642-61983-0
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Softcover ISBN: 978-3-540-63640-3Published: 11 December 1997
eBook ISBN: 978-3-642-61983-0Published: 06 December 2012
Series ISSN: 1431-0821
Series E-ISSN: 2512-5257
Edition Number: 1
Number of Pages: XIX, 393
Additional Information: Originally published as Volume 193 in the series: Grundlehren der mathematischen Wissenschaften
Topics: Analysis