A Concise Introduction to Measure Theory

• Main Author: Shirali, Satish (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Measure theory.; Calculus.; Functions of real variables.; Measure and Integration.; Real Functions.

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard unde...

Table of Contents:

• Preface
• 1. Preliminaries
• 2. Measure Space and Integral
• 3. Properties of the Integral
• 4. Construction of a Measure. 5. The Counting Measure
• 6. Product Measures
• 7. Differentiation
• 8. The Cantor Set and Function
• Solutions
• References
• Index.