Problems in Real and Complex Analysis / Edition 1

by Bernard R. Gelbaum

Overview

This text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

Product Details

ISBN-13:	9780387977669
Publisher:	Springer New York
Publication date:	06/18/1992
Series:	Problem Books in Mathematics
Edition description:	1992
Pages:	489
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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.

Editorial Reviews

Builds upon an earlier volume, Problems in Analysis, more than doubling it with a new section of problems on complex analysis. A total of 878 problems and their solutions encompass: set algebra, measure and topology, real- and complex-valued functions, topological vector spaces, polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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