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.
* Gives a unique presentation of integration theory
* Over 150 new exercises integrated throughout the text
* Presents a new chapter on Hilbert Spaces
* Provides a rigorous introduction to measure theory
* Illustrated with new and varied examples in each chapter
* Introduces topological ideas in a friendly manner
* Offers a clear connection between real analysis and functional
analysis
* Includes brief biographies of mathematicians
General
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