Principles of Real Analysis

Introduces students to the fundamentals of the theory of measure and functional analysis. This work includes a chapter on Hilbert spaces, and covers the basic theory of integration using a practical synthesis of the "Daniell Method" and the measure theoretic approach. It also offers a connection between real analysis and functional analysis. With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition 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. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

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