Real Analysis: Modern Techniques and Their Applications

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An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such ...

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yeltsin

Mar 7, 2010

Good, though demanding, overview

Whatever the title may suggest, this is not a book for engineers looking for applications. If interested in analysis and the theory of integration, though, it is a good idea to give this a try.

The book is well structured and the prose clear. Yet it must be said that the style itself is also quite terse. This is a graduate textbook, and it says something about the style that the exercises are never questions or numerical problems. They are claims of the form "A, B implies C" which are to be proved by the student. This is not Kreyszig, so to speak.

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