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25 Remote Warehouse Mathematics- Calculus

Lebesgue Integration and Measure

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Lebesgue Integration and Measure Cover

 

Synopses & Reviews

Publisher Comments:

Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.

Synopsis:

This text is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses.

Synopsis:

A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.

Table of Contents

Preface; 1. The completeness of the reals; 2. Null sets; 3. The Lebesgue integral on R; 4. The Lebesgue integral on Rk; 5. The convergence theorems; 6. Measurable functions and Lebesgue measure; 7. The spaces Lp; Appendix: the elements of topology; Solutions; References; Index.

Product Details

ISBN:
9780521097512
Preface:
Weir, Alan J.
Author:
Weir, Alan J.
Preface by:
Weir, Alan J.
Preface:
Weir, Alan J.
Author:
Weir, Alan J.
Publisher:
Cambridge University Press
Location:
Cambridge Eng.
Subject:
Mathematics
Subject:
Calculus
Subject:
Differential Equations
Subject:
Probability
Subject:
Measure theory
Subject:
Mensuration
Subject:
Modern mathematics
Subject:
Lebesgue integral
Subject:
Probability & Statistics - General
Subject:
Mathematics-Calculus
Subject:
Algebra - Abstract
Edition Description:
Trade paper
Series Volume:
no. 15
Publication Date:
19990731
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
296
Dimensions:
8.58x6.48x.70 in. .97 lbs.

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Related Subjects

Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Real Analysis

Lebesgue Integration and Measure New Trade Paper
0 stars - 0 reviews
$74.50 In Stock
Product details 296 pages Cambridge University Press - English 9780521097512 Reviews:
"Synopsis" by , This text is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses.
"Synopsis" by , A textbook for the undergraduate who is meeting the Lebesgue integral for the first time, relating it to the calculus and exploring its properties before deducing the consequent notions of measurable functions and measure.
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