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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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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.
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Book by Gelbaum Bernard R
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Problems in Real and Complex Analysis (Problem Books in Mathematics)
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Problems in Real and Complex Analysis
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Problems in Real and Complex Analysis (Paperback)
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Springer-Verlag New York Inc., New York, NY, 2012
ISBN 10: 1461269490
ISBN 13: 9781461269496
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Paperback. Condizione: new. Paperback. In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions. D. An enlarged Index/Glossary and an enlarged Symbol List. Notational and terminological conventions are to be found for the most part under Conventions at the beginnings of the chapters. Spe cial items not included in Conventions are completely explained in the Index/Glossary. The audience to which the current book is addressed differs little from the audience for PIA. The background of the reader is assumed to include a knowledge of the basic principles and theorems in real and complex analysis as those subjects are currently viewed. The aim of the problems is to sharpen and deepenthe understanding of the mechanisms that underlie modern analysis. I thank Springer-Verlag for its interest in and support of this project. State University of New York at Buffalo B. R. G. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781461269496
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Problems in Real and Complex Analysis
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Problems in Real and Complex Analysis (Problem Books in Mathematics)
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Problems in Real and Complex Analysis
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Problems in Real and Complex Analysis
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Springer New York Okt 2012, 2012
ISBN 10: 1461269490
ISBN 13: 9781461269496
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In the pages that follow there are: A. A revised and enlarged version of Problems in analysis (PIA) . (All typographical, stylistic, and mathematical errors in PIA and known to the writer have been corrected.) B. A new section COMPLEX ANALYSIS containing problems distributed among many of the principal topics in the theory of functions of a complex variable. C. A total of 878 problems and their solutions. D. An enlarged Index/Glossary and an enlarged Symbol List. Notational and terminological conventions are to be found for the most part under Conventions at the beginnings of the chapters. Spe cial items not included in Conventions are completely explained in the Index/Glossary. The audience to which the current book is addressed differs little from the audience for PIA. The background of the reader is assumed to include a knowledge of the basic principles and theorems in real and complex analysis as those subjects are currently viewed. The aim of the problems is to sharpen and deepenthe understanding of the mechanisms that underlie modern analysis. I thank Springer-Verlag for its interest in and support of this project. State University of New York at Buffalo B. R. G. v Contents The symbol alb under Pages below indicates that the Problems for the section begin on page a and the corresponding Solutions begin on page b. Thus 3/139 on the line for Set Algebra indicates that the Problems in Set Algebra begin on page 3 and the corresponding Solutions begin on page 139. 504 pp. Englisch. Codice articolo 9781461269496
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Problems in Real and Complex Analysis
Print on DemandDa: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 incl. Codice articolo 4189583
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Problems in Real and Complex Analysis
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Condizione: New. pp. 504. Codice articolo 2648020085
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Problems in Real and Complex Analysis
Editore:
Springer-Verlag New York Inc., 2012
ISBN 10: 1461269490
ISBN 13: 9781461269496
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 795. Codice articolo C9781461269496
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