Articoli correlati a Real and Abstract Analysis: A Modern Treatment Of The...

Real and Abstract Analysis: A Modern Treatment Of The Theory Of Functions Of A Real Variable - Brossura

Hewitt, E.

 
9783540780182: Real and Abstract Analysis: A Modern Treatment Of The Theory Of Functions Of A Real Variable
Brossura
ISBN 10: 3540780181 ISBN 13: 9783540780182
Casa editrice: Springer, 1980

Sinossi

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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Contenuti

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.

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Editore
Springer
Data di pubblicazione
1980
Lingua
Inglese
ISBN 10 
3540780181
ISBN 13 
9783540780182
Rilegatura
Copertina flessibile
Numero di pagine
488
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