ABSTRACT

Designed for use in a two-semester course on abstract analysis, REAL ANALYSIS: An Introduction to the Theory of Real Functions and Integration illuminates the principle topics that constitute real analysis. Self-contained, with coverage of topology, measure theory, and integration, it offers a thorough elaboration of major theorems, notions, and co

chapter 1|56 pages

Set-Theoretic and Algebraic Preliminaries

chapter 2|48 pages

Analysis of Metric Spaces

chapter 3|96 pages

Elements of Point Set Topology

chapter 4|18 pages

Measurable Spaces and Measurable Functions

chapter 5|74 pages

Measures

chapter 6|92 pages

Elements of Integration

chapter 7|34 pages

Calculus in Euclidean Spaces

chapter 8|96 pages

Analysis in Abstract Spaces

chapter 9|34 pages

Calculus on the Real Line