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Problems in Real and Complex Analysis de Bernard R. Gelbaum

Problems in Real and Complex Analysis: Problem Books in Mathematics

Autor Bernard R. Gelbaum
en Limba Engleză Paperback – 8 oct 2012
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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Paperback (1) 69508 lei  6-8 săpt.
  Springer – 8 oct 2012 69508 lei  6-8 săpt.
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  Springer – 18 iun 1992 64584 lei  6-8 săpt.

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Specificații

ISBN-13: 9781461269496
ISBN-10: 1461269490
Pagini: 504
Ilustrații: IX, 489 p.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.7 kg
Ediția:Softcover reprint of the original 1st ed. 1992
Editura: Springer
Colecția Springer
Seria Problem Books in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.

Descriere

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 deepen the 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.