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Principles of Real Analysis

This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using… Read more

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Description

This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the 'Daniell method' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.

Readership

Upper-undergraduate and graduate students in mathematics.

Table of contents

Fundamentals of Real Analysis. General Topology and Function Spaces. The Theory of Measure. The Lebesgue Integral. Normed Spaces and Lp-Spaces. Special Topics in Integration. Index.

Product details

About the authors

CA

Charalambos D. Aliprantis

Affiliations and expertise
Purdue University, Indianapolis, U.S.A.

OB

Owen Burkinshaw

Affiliations and expertise
Indiana University-Purdue University, Indianapolis , U.S.A.

View book on ScienceDirect

Read Principles of Real Analysis on ScienceDirect