Measure and Integral : An Introduction to Real Analysis, Second Edition - Richard L. Wheeden

Measure and Integral

An Introduction to Real Analysis, Second Edition

By: Richard L. Wheeden

Paperback | 14 October 2024 | Edition Number 2

At a Glance

Paperback


RRP $120.00

$101.25

16%OFF

or 4 interest-free payments of $25.31 with

 or 

Available for Backorder. We will order this from our supplier however there isn't a current ETA.

Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.

Published nearly forty years after the first edition, this long-awaited Second Edition also:

  • Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2
  • Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case
  • Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of Hoelder continuous functions and the space of functions of bounded mean oscillation
  • Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the one played by the fundamental theorem of calculus in one dimension
  • Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient
  • Applies the norm estimates derived for fractional integral operators to obtain local and global first-order Poincare-Sobolev inequalities, including endpoint cases
  • Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables
  • Includes many new exercises not present in the first edition

This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.

More in Applied Mathematics

Fuzzy Methods for Assessment and Decision Making - Michael Gr. Voskoglou

RRP $264.95

$199.95

25%
OFF
The Maths Book : Big Ideas Simply Explained - DK

RRP $42.99

$36.50

15%
OFF
Essentials of Medical Statistics : 2nd Edition - Betty R. Kirkwood

RRP $91.95

$55.90

39%
OFF
Core Maths for the Biosciences - Martin B. Reed

RRP $125.35

$113.35

10%
OFF
LEC NOTE MATH OLYM : JNR SEC (V2) - XU JIAGU

RRP $45.99

$43.75

Intermediate Financial Theory : 3rd Edition - Jean-Pierre Danthine

RRP $126.95

$88.75

30%
OFF
Introduction to Stochastic Processes : 2nd Edition - Gregory F. Lawler

RRP $204.00

$161.75

21%
OFF
Bayesian Statistical Methods : Texts in Statistical Science - Brian J. Reich
Essential Mathematics and Statistics for Science : 2nd Edition - Graham Currell
Tidal Disruption Events : A Field Guide - Suvi Gezari