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Graduate Texts in Mathematics : 142
Third Edition, 1993

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Autor(en) / Beteiligte
Titel
Real and Functional Analysis [Elektronische Ressource]
Ist Teil von
  • Graduate Texts in Mathematics : 142
Auflage
Third Edition
Ort / Verlag
New York, NY : Springer New York
Erscheinungsjahr
1993
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Beschreibungen/Notizen
  • 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 Analysis. I assume that the reader is acquainted with notions of uniform convergence and the like. In this third edition, I have reorganized the book by covering integration 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 investigations, 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
Sprache
Englisch
Identifikatoren
ISBN: 9781461208976, 9781461269380
OCLC-Nummer: 863721288, 863721288
Titel-ID: 990018234030106463
Format
XIV, 580 p
Schlagworte
Mathematics, Real Functions