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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Problems in Real and Complex Analysis ([EBook] /) / by Bernard R. Gelbaum.
Author	Gelbaum, Bernard R.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 1992.
Physical Details	IX, 489 p. : online resource.
Series	Problem books in mathematics 0941-3502
ISBN	9781461209256
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-0925-6
Links to Related Works	Subject References: Functions of real variables . Mathematics . Real Functions . Authors: Gelbaum, Bernard R. . Corporate Authors: SpringerLink (Online service) . Series: Problem books in mathematics . Classification: 515.8 .

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Problems in Real and Complex Analysis

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