Bernard R Gelbaum creator Bernard R Gelbaum text xxu New York : Springer : 1992 monographic eng

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ix, 489 pages 24cm. This book builds upon the earlier volume Problems in Analysis, more than doubling it with a new section of problems on complex analysis. The problems on real analysis from the earlier book have all been checked, and stylistic, typographical, and mathematical errors have been corrected. The problems in complex analysis cover most of the principal topics in the theory of functions of a complex variable. The problems 1 Set Algebra and Function Lattices -- 2 Topology, Limits, and Continuity -- 3 Real- and Complex-valued Functions -- 4 Measure and Topology -- 5 Measure Theory -- 6 Topological Vector Spaces -- 7 Elementary Theory -- 8 Functions Holomorphic in a Disc -- 9 Functions Holomorphic in a Region -- 10 Entire Functions -- 11 Analytic Continuation -- 12 Singularities -- 13 Harmonic Functions -- 14 Families of Functions -- 15 Convexity Theorems -- Symbol List -- Glossary/Index / Bernard R Gelbaum 515 GEL 9788184896275 181113 20181113150212.0