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Real and Abstract Analysis : a modern treatment of the theory of functions of a real variable 🔍
by Edwin Hewitt and Karl Stromberg Springer Berlin Heidelberg : Imprint : Springer, Berlin, New York, West Berlin, 1965
English [en] · PDF · 24.0MB · 1965 · 📗 Book (unknown) · 🚀/ia · Save
description
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 cusƯ 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 approƯ priate suggestions for skipping. We have given complete definitions, exƯ 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 MatheƯ nd matical Analysis [2 Ed., McGraw-Hill Book Co., New York, 1964]
Alternative author
Hewitt, Edwin, 1920-; Stromberg, Karl R. (Karl Robert), 1931-1994, joint author
Alternative publisher
Berlin, New York, Springer-Verlag
Alternative edition
Berlin, Heidelberg, 1965
metadata comments
Bibliographical footnotes.
Alternative description
viii, 476 p. 24 cm
Bibliographical footnotes
date open sourced
2024-07-01
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