Notes on Introductory Combinatorics - Polya, George

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Biography of George P?lya Born in Budapest, December 13, 1887, George P?lya 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 G?ttingen and a short stay in Paris, he received an appointment at the ETH in Z?rich. 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 P?lya 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 K?nigsberg. It was during his time in Berlin that he and P?lya 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 P?lya to join the Stanford faculty in 1942. Szeg? remained at Stanford until his death on August 7, 1985....