Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)

WHEEDEN, Richard L; ZYGMUND, Antoni

ISBN 10: 0824764994 / ISBN 13: 9780824764999

Published by Marcel Dekker, New York, 1977

About this Item

Book is tight, bright and clean. Book shows lightest of storage wear to covers. Previous owners sticker to front end-paper.

Seller Inventory # ABE-1769876685477

Bibliographic Details

• Title: Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics)
• Publisher: Marcel Dekker, New York
• Publication Date: 1977
• Language: English
• ISBN 10: 0824764994
• ISBN 13: 9780824764999
• Binding: Hardcover
• Edition: 1st Edition
• Printing: 5th or later Printing
• Condition: Near Fine
• Dimensions: 16W x 24H x 1.5D centimeters 16 centimeters width by 24 centimeters height by 1.5 centimeters depth
• Weight: 544 grams
• Seller catalogs:
  • Shelf 14

About this title

Synopsis

This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given.

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 Hardy-Littlewood maximal function.

Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student 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 student in these areas.

Review

. . .well written and authoritative.
---Choice

The style is characterized by its clarity and concreteness. . . . this work constitutes an excellent introductory textbook for those who wish to get acquainted with the modern methods of real variables.
---Mathematical Reviews