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Real and abstract analysis a modern treatment of the theory of functions of a real variable,

Author: Edwin Hewitt; Karl R Stromberg
Publisher: Berlin, New York, Springer-Verlag, 1965.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Hewitt, Edwin, 1920-
Real and abstract analysis.
Berlin, New York, Springer-Verlag, 1965
(DLC) 65026609
(OCoLC)528080
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Edwin Hewitt; Karl R Stromberg
ISBN: 9783642880476 3642880479 3540780181 9783540780182
OCLC Number: 567962615
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (viii, 476 pages) illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: One: Set Theory and Algebra --
Two: Topology and Continuous Functions --
Three: The Lebesgue Integral --
Four: Function Spaces and Banach Spaces --
Five: Differentiation --
Six: Integration on Product Spaces --
Index of Symbols --
Index of Authors and Terms.
Responsibility: by Edwin Hewitt and Karl Stromberg.
More information:

Abstract:

This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. We have included every topic that we think essential for the training of analysts, and we have also gone down a number of interesting bypaths. We hope too that the book will be useful as a reference for mature mathematicians and other scientific workers. Hence we have presented very general and complete versions of a number of important theorems and constructions. Since these sophisticated versions may be difficult for the beginner, we have given elementary avatars of all important theorems, with appro priate suggestions for skipping. We have given complete definitions, ex planations, and proofs throughout, so that the book should be usable for individual study as well as for a course text. Prerequisites for reading the book are the following. The reader is assumed to know elementary analysis as the subject is set forth, for example, in TOM M. ApOSTOL'S Mathematical Analysis [Addison-Wesley Publ. Co., Reading, Mass., 1957], or WALTER RUDIN'S Principles of Mathe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].

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