Problems in Real and Complex Analysis

Gelbaum Bernard R.

ISBN 10: 038797766X / ISBN 13: 9780387977669

Editore: Springer, 1992

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Print on Demand pp. 504 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Codice articolo 7590712

Dati bibliografici

Titolo: Problems in Real and Complex Analysis

Casa editrice: Springer

Data di pubblicazione: 1992

Legatura: 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.