Problems in Real and Complex Analysis

Bernard R. Gelbaum

ISBN 10: 038797766X / ISBN 13: 9780387977669

Editore: Springer, 1992

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pp. 504.

Codice articolo 26290023

Dati bibliografici

• Titolo: Problems in Real and Complex Analysis
• Editore: Springer
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 038797766X
• ISBN 13: 9780387977669
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

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.

Contenuti

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.