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## Measure and Integral: An Introduction to Real Analysis (Hardback)"This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of ## $53.29 |

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Please contact us if you've got questions about this product.## Condition

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

## Description

This book is Number 43 in **Pure 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**

- Preliminaries
- Functions of Bounded Variation; the Riemann-Stieltjes Integral
- Lebesgue Measure and Outer Measure
- Lebesgue Measurable Functions
- The Lebesgue Integral
- Repeated Integration
- Differentiation
*L*Classes^{p}- Approximations of the Identity; Maximal Functions
- Abstract Integration
- Outer Measure; Measure
- A Few Facts From Harmonic Analysis

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

## Details

- SKU:
- 2706
- Genre/Subject:
- Mathematics
- Subject:
- Mathematics
- Author:
- Wheeden, Richard L. and Antoni Zygmund
- Publisher:
- Marcel Dekker, Inc.
- Publish Date:
- 1977
- Format:
- Hardback
- Weight (pounds):
- 1.11
- Dimensions (W”xL”xH”):
- 6.2″x9.3″x0.8″
- ISBN-13:
- 9780824764999
- ISBN-10:
- 0824764994
- Grade Level:
- College

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