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Problems in Real and Complex Analysis Bernard R. Gelbaum

Problems in Real and Complex Analysis By Bernard R. Gelbaum

Problems in Real and Complex Analysis by Bernard R. Gelbaum


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Summary

This text covers many principal topics in the theory of functions of a complex variable. 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.

Problems in Real and Complex Analysis Summary

Problems in Real and Complex Analysis by Bernard R. Gelbaum

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.

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.

Additional information

NLS9781461269496
9781461269496
1461269490
Problems in Real and Complex Analysis by Bernard R. Gelbaum
New
Paperback
Springer-Verlag New York Inc.
2012-10-08
489
N/A
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