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About this book
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 M athe nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964].
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Table of contents (6 chapters)
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Bibliographic Information
Book Title: Real and Abstract Analysis
Book Subtitle: A modern treatment of the theory of functions of a real variable
Authors: Edwin Hewitt, Karl Stromberg
DOI: https://doi.org/10.1007/978-3-642-88044-5
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin · Heidelberg 1965
Softcover ISBN: 978-3-642-88046-9Published: 21 March 2012
eBook ISBN: 978-3-642-88044-5Published: 06 December 2012
Edition Number: 1
Number of Pages: VIII, 476
Topics: Real Functions, Analysis