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Problems and Theorems in Analysis I Series, Integral Calculus, Theory of
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Problems and Theorems in Analysis I Series, Integral Calculus, Theory of Functions (Classics in Mathematics) Paperback - 2004

by Polya, George; Gabor Szegö


From the publisher

Problems and Theorems in Analysis II by Poly/Szeg is also available in the Classics in Mathematics series (3-540-63686-2).

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1. In how many different ways can you change one dollar?

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  • Title Problems and Theorems in Analysis I Series, Integral Calculus, Theory of Functions (Classics in Mathematics)
  • Author Polya, George; Gabor Szegö
  • Binding Paperback
  • Edition First edition th
  • Pages 389
  • Publisher Springer, New York
  • Date March 17, 2004
  • ISBN 9783540636403

About the author

Biography of George Plya Born in Budapest, December 13, 1887, George Plya 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 Gttingen and a short stay in Paris, he received an appointment at the ETH in Zrich. 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 Plya 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 Szeg Born in Kunhegyes, Hungary, January 20, 1895, Szeg 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 Ksnigsberg. It was during his time in Berlin that he and Plya collaborated on their great joint work, the Problems and Theorems in Analysis. Szeg'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 Plya to join the Stanford faculty in 1942. Szeg remained at Stanford until his death on August 7, 1985.

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