ABSTRACT

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less

chapter 1|16 pages

Preliminaries

chapter 3|22 pages

Lebesgue Measure and Outer Measure

chapter 4|18 pages

Lebesgue Measurable Functions

chapter 5|32 pages

The Lebesgue Integral

chapter 6|16 pages

Repeated Integration

chapter 7|54 pages

Differentiation

chapter 8|30 pages

Lp Classes

chapter 10|42 pages

Abstract Integration

chapter 11|22 pages

Outer Measure and Measure

chapter 12|70 pages

A Few Facts from Harmonic Analysis

chapter 13|44 pages

The Fourier Transform

chapter 14|46 pages

Fractional Integration