Titre : | Problems and theorems in analysis T.1 : Series integral calculs... |
Auteurs : | George Polya ; Gabor Szegِ |
Type de document : | texte imprimé |
Editeur : | Berlin : Springer-Verlag, 1998 |
Collection : | Classics in mathematics |
ISBN/ISSN/EAN : | 978-3-540-63640-3 |
Format : | 1 vol. (XIX-389 p.) / 24 cm |
Langues originales: | |
Index. décimale : | 515 (Analyse (mathématique)) |
Catégories : | |
Mots-clés: | Analyse(théorie d') |
Résumé : |
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 Königsberg. 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. |
Note de contenu : |
Sommaire: One Infinite Series and Infinite Sequences 1 Operations with Power Series 2 Linear Transformations of Series. A Theorem of Cesàro 3 The Structure of Real Sequences and Series 4 Miscellaneous Problems Two Integration 1 The Integral as the Limit of a Sum of Rectangles 2 Inequalities 3 Some Properties of Real Functions 4 Various Types of Equidistribution 5 Functions of Large Numbers Three Functions of One Complex Variable. General Part 1 Complex Numbers and Number Sequences 2 Mappings and Vector Fields 3 Some Geometrical Aspects of Complex Variables 4 Cauchy’s Theorem • The Argument Principle 5 Sequences of Analytic Functions 6 The Maximum Principle Author Index. |
Côte titre : |
S8/58489-58490 |
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