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Classics in Mathematics
George P61ya • Gabor Szego
Problems and Theorems
in Analysis I
Berlin
Heidelberg
New York
Barcelona
Budapest
Hong Kong
London
Milan
Paris
Santa Clara
Singapore
Tokyo
Springer
This picture shows
G. P61ya
(r.)
and
G. Szego
(I.)
delivering
their original manu-
script to Springer in
Berlin in
1925
(courtesy
of G. Alexanderson) .
George P61ya
Born in Budapest, December
13,1887,
George P61ya 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 GOHingen and a short stay in Paris, he received
an appointment at the ETH in Zurich. 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 con-
formal mappings, potential theory, boundary value problems,
and isoperimetric problems in mathematical physics, as well as
heuristics late in his career. When P61ya 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.
Gabor Szego
Born in Kunhegyes, Hungary, January
20, 1895,
Szego 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 Konigsberg.
It
was
during his time in Berlin that he and P61ya collaborated on
their great joint work, the Problems and Theorems in Analysis.
Szego'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 Uni-
versity, St. Louis, where he remained until
1938,
when he moved
to Stanford. As department head at Stanford, he arranged for
P61ya to join the Stanford faculty in
1942.
Szego remained at
Stanford until his death on August
7, 1985.
George P61ya • Gabor Szego
Problems and Theorems
in Analysis I
Series. Integral Calculus.
Theory of Functions
Reprint of the
1978
Edition
Springer
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