Real Analysis

Real Analysis

by Gabriel Klambauer


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Real Analysis by Gabriel Klambauer

Concise in treatment and comprehensive in scope, this text for graduate students in mathematics introduces contemporary real analysis with a particular emphasis on integration theory.
The first four chapters, dealing with the Lebesgue theory of measure and integration of real functions, constitute a critical study of differential and integral calculus. Succeeding chapters treat abstract measure and integration theory, as well as topological and metric spaces, with an emphasis on topics that are most relevant to analysis. Additional subjects include a discussion of Stone's formulation of Daniell integration, culminating in the Riesz representation theorem, and an examination of normed linear spaces. Exercise sections appear at the end of each chapter and form an integral part of the text.

Product Details

ISBN-13: 9780486445243
Publisher: Dover Publications
Publication date: 11/03/2005
Series: Dover Books on Mathematics Series
Pages: 448
Sales rank: 1,296,296
Product dimensions: 5.30(w) x 8.40(h) x 1.00(d)

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