Real Analysis

• Main Author: Loeb, Peter A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Subjects: Mathematics.; Functional analysis.; Measure theory.; Functions of real variables.; Real Functions.; Functional Analysis.; Measure and Integration.

This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concept...

Table of Contents:

• Preface
• Set Theory and Numbers
• Measure on the Real Line
• Measurable Functions
• Integration
• Differentiation and Integration
• General Measure Spaces
• Introduction to Metric and Normed Spaces
• Hilbert Spaces
• Topological Spaces
• Measure Construction
• Banach Spaces
• Appendices
• References. .