Foundations of Abstract Analysis

• Main Author: Dshalalow, Jewgeni H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Numerical analysis.; Analysis.; Functional Analysis.; Numerical Analysis.

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-st...

Table of Contents:

• Set-Theoretic and Algebraic Preliminaries
• Analysis of Metric Spaces
• Elements of Point-Set Topology.-Measurable Spaces and Measurable Functions
• Measures
• Integration in Abstract Spaces
• Solutions to Selected Problems
• Bibliography.-List of Symbols.-Index of Names and Terms.