Bernard R. Gelbaum

Problems in Real and Complex Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 489
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461209256
• Artikelnr.: 44062983

Inhaltsangabe

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.

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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.