You are here: Home / Shop / Product Detail Page |

## 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 |

### Need More Info?

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

## Related Products

### Products related to "Measure and Integral: An Introduction to Real Analysis (Hardback)"

- Views:

#### Reliability Engineering (Hardback)

$6.99

"Recent recognition of reliability and maintainability as vital factors in the development, production, operation, and maintenance of today's complex commercial, military, and space systems has placed greater emphasis on the training of management, engineering, procurement, and administrative personnel in the application of these concepts." — Dust Jacket

#### Statistics Made Simple: A Comprehensive Course for Self-Study and Review (Paperback)

$1.25

"We can summarize these meanings of the word 'statistics': 1. The public meaning of facts and figures, graphs and charts. The word is plural when used in this sense. 2. The subject itself, with terminology, methodology, and body of knowledge of its own. The word is singular when used in this sense. 3. Quantities calculated from the sample data. The word is plural when used in this sense."—from Chapter 1 What is Statistics?

#### R in a Nutshell: A Desktop Quick Reference (Softcover)

$13.59

"Why learn R? Because it's rapidly becoming the standard for developing statistical software.

*R in a Nutshell*provides a quick and practical way to learn this increasingly popular open source language and environment." — From the back cover#### Statistical Mechanics Made Simple, Second Edition (Softcover)

$31.95

"This second edition extends and improves on the first, already an acclaimed and original treatment of statistical concepts insofar as they impact theoretical physics and form the basis of modern thermodynamics." — From the back cover

#### Probability and Mathematical Statistics: Fourier Series and Integrals (Softcover)

$59.89

"The purpose of this book is to give a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. Purely technical aspects of the subject, such as the pointwise convergence of Fourier series of wild functions, will be avoided." — From the Preface (page ix)

#### Stochastic Calculus and Financial Applications (Hardback)

$48.29

"This book is designed for students who want to develop professional skills in the stochastic calculus and its application to problems in finance. The Wharton School course on which the book is based is designed for energetic students who have had some experience with probability and statistics, but who have not had advanced courses in stochastic processes." — From the back cover

#### Use R! : R Through Excel: A Spreadsheet Interface for Statistics, Data Analysis, and Graphics (Softcover)

$39.95

"R, a free and open source program, is one of the most powerful and the fastest growing statistics program. Microsoft Excel is the most widely used spreadsheet program, but many statisticians consider its statistical tools too limited. In this book, the authors build on RExcel, a free add-on for Excel that can be downloaded from the R distribution network." — From the back cover

#### Stochastic Models: An Algorithmic Approach (Softcover)

$149.99

"

*Stochastic Models: An Algorithmic Approach*fulfills the widely perceived need for an introductory text which demonstrates the effective use of simple stochastic models to gain insight into the behaviour of complex stochastic systems." — From the back cover#### Stochastic Modelling and Applied Probability 51: Applied Probability and Queues, Second Edition (Hardback)

$91.29

"This book serves as an introduction to queueing theory and provides a thorough treatment of tools such as Markov processes, renewal theory, random walks, Lévy processes, matrix-analytic methods, and chagne of measure. ..." — From the back cover

#### Use R! : Lattice: Multivariate Data Visualization with R (Softcover)

$33.35

"R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S. Cleveland and colleagues at Bell Labs) to R, considerably expanding it capabilities in the process." — From the back cover

#### Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (Softcover)

$27.59

"This volume expands on a set of lectures held at the Courant Institute on Riemann-Hlibert problems, orthogonal polynomials, and random matrix theory. The goal of this course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models." — From the back cover

#### Handbook of Mathematics and Computational Science (Hardback)

$39.50

"The Harris and Stocker Handbook of Mathematics and Computation Science is a complete desk-top reference for working scientists, engineers, and students. It serves as a veritable math toolbox for rapid access to a wealth of mathematics information for everyday use in problem solving, homework, examinations, etc." — From the back cover

#### Cambridge Series in Statistical and Probabilistic Mathematics: Markov Chains (Softcover)

$13.50

"Markov chains are the simplest mathematical models for random phenomena evolving in time. Their simple structure make it possible to say a great deal about their behaviour. At the same time, the class of Markov chains is rich enough to serve in many applications. This makes Markov chains the first and most important examples of random processes. Indeed, the whole of the mathematical study of random processes can be regarded as a generalization in one way or another of the theory of Markov chains." — From the Preface

#### A Series of Comprehensive Studies in Mathematics, Volume 333: The Random-Cluster Model (Hardback)

$29.42

"The random-cluster model has emerged in recent years as a key tool in mathematical study of ferromagnetism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry." — From the back cover

#### The Art of Probability for Scientists and Engineers (Softcover)

$63.95

"The fact that probability theory is increasingly being used to make important decisions is a further incentive for examining the theory carefully. I have witnessed very important decisions being made that were based on probability, and as a citizen I have to endure the consequences of similar decisions made in Washington, D.C., and elsewhere; hence, I feel that anything that can clarify and improve the quality of the application of probability theory will be of great benefit to our society." — Richard W. Hamming, U.S. Naval Postgraduate School and Author

#### An Invitation to Modern Number Theory (Hardback)

$47.49

"In a manner accessible to beginning undergraduates,

*An Invitation to Modern Number Theory*introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory." — From the back cover#### The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Softcover)

$33.25

"This lively, problem-oriented text is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered—either by one of history's famous mathematicians or by the reader." — From the back cover

#### An Introduction to Random Matrices (Hardback)

$53.95

"The theory of random matrices plays an important role in many areas of pure mathematics and employs a variety of sophisticated mathematical tools (analytical, probabilistic, and combinatorial). This diverse array of tools, while attesting to the vitality of the field, presents several formidable obstacles to the newcomer, and even to the expert probabilist. This rigorous introduction to the basic theory is sufficiently self-contained to be accessible to graduate students in mathematics or related sciences who have mastered probability theory at the graduate level, but who have not necessarily been exposed to advanced notions of functional analysis, algebra, or geometry." — From the back cover

#### Introduction to Analysis of the Infinite, Book I (Hardback)

$89.95

"...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those things which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. ... [I]n the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..." — From the Preface by the Author, Leonhard Euler

#### Design-A-Study: Maximum Math (Paperback)

$17.95

"It is especially important to give meaning to the lessons, providing a broader base for the memory. Relate a skill to real life—money to earnings and allowance, averages to sports scores." — Kathryn Stout, B.S.Ed., M.Ed., Author