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Real and Abstract Analysis
A modern treatment of the theory of functions of a real variable
Taschenbuch von K. Stromberg (u. a.)
Sprache: Englisch

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Beschreibung
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 usablefor 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].
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 usablefor 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].
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1980
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: viii
476 S.
9 s/w Illustr.
476 p. 9 illus.
ISBN-13: 9783540780182
ISBN-10: 3540780181
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stromberg, K.
Hewitt, E.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: K. Stromberg (u. a.)
Erscheinungsdatum: 01.01.1980
Gewicht: 0,733 kg
Artikel-ID: 105088736
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1980
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: viii
476 S.
9 s/w Illustr.
476 p. 9 illus.
ISBN-13: 9783540780182
ISBN-10: 3540780181
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stromberg, K.
Hewitt, E.
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 27 mm
Von/Mit: K. Stromberg (u. a.)
Erscheinungsdatum: 01.01.1980
Gewicht: 0,733 kg
Artikel-ID: 105088736
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