A Concise Introduction to the Theory of Integration

Author:   Daniel W. Stroock
Publisher:   Birkhauser Boston Inc
Edition:   3rd ed. 1998
ISBN:  

9780817640736


Pages:   262
Publication Date:   23 December 1998
Format:   Hardback
Availability:   In Print   Availability explained
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A Concise Introduction to the Theory of Integration


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Overview

This edition develops the basic theory of Fourier transform. Stroock's approach is the one taken originally by Norbert Wiener and the Parseval's formula, as well as the Fourier inversion formula via Hermite functions. New exercises and solutions have been added for this edition.

Full Product Details

Author:   Daniel W. Stroock
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   3rd ed. 1998
Dimensions:   Width: 17.80cm , Height: 1.50cm , Length: 25.40cm
Weight:   1.620kg
ISBN:  

9780817640736


ISBN 10:   0817640738
Pages:   262
Publication Date:   23 December 1998
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

The classical theory; Lebesgue's measure; Lebesgue's integration; products of measures; changes of variable; some basic inequalities; elements of Fourier analysis; a little abstract theory.

Reviews

This is a very attractive textbook... Unusual in many respects, [it] fully achieves its goal, a one-semester, concise but logically complete treatment of abstract integration. It is remarkable that [the author] has accomplished so much in so short a compass. - Mathematical Reviews (review of the first edition) A number of valuable applications and a good collection of problems... A very interesting, well-informed book which draws on recent approaches not found in several commonly used texts. - Zentralblatt Math (review of the second edition) The author succeeded in choosing the right level of generality and showed how a good combination of a measure and integration course and advanced calculus can be done. Strongly recommended to students as well as to teachers. - EMS Newsletter (review of the second edition) ...the author is a distinguished probabilist/analyst who has made seminal contributions to the interface of probability theory with PDEs/harmonic analysis/functional analysis; the flavor of all these subjects is brought out in the book, especially in chapters V-VII...[the] book can be highly rewarding, serving as a launching pad for an intensive study of any branch of analysis including probability theory. --Current Science (review of the third edition)


This is a very attractive textbooka ] Unusual in many respects, [it] fully achieves its goal, a one-semester, concise but logically complete treatment of abstract integration. It is remarkable that [the author] has accomplished so much in so short a compass. <p>- Mathematical Reviews (review of the first edition) <p> A number of valuable applications and a good collection of problems... A very interesting, well-informed book which draws on recent approaches not found in several commonly used texts. <p>- Zentralblatt Math (review of the second edition) <p> The author succeeded in choosing the right level of generality and showed how a good combination of a measure and integration course and advanced calculus can be done. Strongly recommended to students as well as to teachers. <p>- EMS Newsletter (review of the second edition) <p>.,. the author is a distinguished probabilist/analyst who has made seminal contributions to the interface of probability theory with PDEs/harmonic analysis/functional analysis; the flavor of all these subjects is brought out in the book, especially in chapters V-VII...[the] book can be highly rewarding, serving as a launching pad for an intensive study of any branch of analysis including probability theory. <p>--Current Science (review of the third edition)


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