Real and Functional Analysis

Serge Lang

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English

Springer-Verlag New York Inc.
23 October 2012

Mathematics & Sciences; Calculus & mathematical analysis; Real analysis, real variables

Series: Graduate Texts in Mathematics

Summary
Details

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.

By: Serge Lang
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: 3rd ed. 1993. Softcover reprint of the original 3rd ed. 1993
Volume: 142
Dimensions: Height: 235mm, Width: 155mm, Spine: 31mm
Weight: 908g
ISBN: 9781461269380
ISBN 10: 1461269385
Series: Graduate Texts in Mathematics
Pages: 580
Publication Date: 23 October 2012
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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Real and Functional Analysis

Serge Lang

$138.95 $111.26

Paperback

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