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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 in the book cover, in real analysis: set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces; in complex analysis: polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems. Preface Real Analysis Set Algebra and Function Lattices Topology, Limits, and Continuity Real- and Complex-valued Functions Measure and Topology Measure Theory Topological Vector Spaces Complex Analysis Elementary Theory Functions Holomorphic in a Disc Functions Holomorphic in a Region Entire Functions Analytic Continuation Singularities Harmonic Functions Families of Functions Convexity Theorems Solutions Real Analysis Complex Analysis Bibliography Symbol List Glossary / Index