Real and Abstract Analysis - Hardcover

Hewitt, Edwin; Karl Stromberg

Hardcover

ISBN 10: 0387045597 ISBN 13: 9780387045597

Publisher: Springer Verlag, 1969

Synopsis

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 cus­tomarily 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 appro­priate suggestions for skipping. We have given complete definitions, ex­planations, 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 Analysi"s [Addison-Wesley Publ. Co., Reading, Mass., 1957], or Walter Rudin's "Principles of Mathe­matical Analysis" [2nd Ed., McGraw-Hill Book Co., New York, 1964].

Edition details

• Publisher: Springer Verlag
• Publication date: 1969
• Language: English
• ISBN 10: 0387045597
• ISBN 13: 9780387045597
• Binding: Hardcover
• Edition number: 1
• Number of pages: 476