Measure and Integral: An Introduction to Real Analysis (Hardback)

Condition

VERY GOOD: This book is in excellent condition, showing very little sign of use or wear.

Product Details

This book is Number 43 inPure and Applied Mathematics: A Series of Monographs and Textbooks from Marcel Dekker, Inc.

Continued from the back cover: "Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L^p classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis—harmonic analysis—are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Handy-Littlewood maximal function.

"Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for students interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first year graduate students in these areas."

Chapters

1. Preliminaries
2. Functions of Bounded Variation; the Riemann-Stieltjes Integral
3. Lebesgue Measure and Outer Measure
4. Lebesgue Measurable Functions
5. The Lebesgue Integral
6. Repeated Integration
7. Differentiation
8. L^p Classes
9. Approximations of the Identity; Maximal Functions
10. Abstract Integration
11. Outer Measure; Measure
12. A Few Facts From Harmonic Analysis

Each chapter ends with a set of exercises. The textbook concludes with Notation and Index.