Real and Functional Analysis

Beschreibung

Neuware -This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal ysis. I assume that the reader is acquainted with notions of uniform con vergence and the like. In this third edition, I have reorganized the book by covering inte gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 600 pp. Englisch.

Bestandsnummer des Verkäufers 9780387940014

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Bibliografische Details

Titel

Real and Functional Analysis

Verlag

Springer New York, Springer US Apr 1993

Erscheinungsjahr

1993

Sprache

Englisch

ISBN-10

0387940014

ISBN-13

9780387940014

Einband

Buch

Auflage

3. Auflage

Zustand

Neu

Abmessungen

241B x 160 H x 38 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 38 mm

Gewicht

1057 Gramm

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