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25 Remote Warehouse Mathematics- Analysis General

Principles of Real Analysis

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Principles of Real Analysis Cover

 

Synopses & Reviews

Publisher Comments:

The new, Third Edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis.

This edition offers a new chapter on Hilbert Spaces and integrates over 150 new exercises. New and varied examples are included for each chapter. Students will be challenged by the more than 600 exercises. Topics are treated rigorously, illustrated by examples, and offer a clear connection between real and functional analysis.

This text can be used in combination with the authors' Problems in Real Analysis, 2nd Edition, also published by Academic Press, which offers complete solutions to all exercises in the Principles text.

Key Features:

* Gives a unique presentation of integration theory

* Over 150 new exercises integrated throughout the text

* Presents a new chapter on Hilbert Spaces

* Provides a rigorous introduction to measure theory

* Illustrated with new and varied examples in each chapter

* Introduces topological ideas in a friendly manner

* Offers a clear connection between real analysis and functional analysis

* Includes brief biographies of mathematicians

"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student."

--J. Lorenz in Zentralblatt für Mathematik

"...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use."

--CASPAR GOFFMAN, Department of Mathematics, Purdue University

Book News Annotation:

First published in 1981 as a textbook for undergraduate seniors and first-year graduate students in math, this iteration adds Fourier analysis, a chapter on Hilbert spaces, and about 150 new problems of varying difficulty. Aliprantis (economics and mathematics, Purdue U.) and Burkinshaw (mathematical sciences, Indiana U., Purdue U.) focus on measure theory via the semiring approach and the Lebesgue integral as well as their applications. They also cover topology and continuity, normed spaces, and special topics in integration. A humanistic touch: brief biographies of historical contributors to real analysis are interwoven throughout the text. Annotation c. by Book News, Inc., Portland, OR (booknews@booknews.com)

Synopsis:

With the success of its previous editions, Principles of Real Analysis, Third Edition continues to introduce students to the fundamentals of the theory of measure and functional analysis. The authors have included a new chapter on Hilbert Spaces as well as integrated over 150 new exercises throughout. This Third Edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniel Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises in the book. Topics are treated rigorously, illustrated by examples, offering a clear connection between real analysis and functional analysis.

Synopsis:

a new chapter on Hilbert Spaces

* Provides a rigorous introduction to measure theory

* Illustrated with new and varied examples in each chapter

* Introduces topological ideas in a friendly manner

* Offers a clear connection between real analysis and functional analysis

* Includes brief biographies of mathematicians

"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student."

--J. Lorenz in Zentralblatt für Mathematik

"...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use."

--CASPAR GOFFMAN, Department of Mathematics, Purdue University

Table of Contents

Fundamentals of Real Analysis

Topology and Continuity

The Theory of Measure

The Lebesgue Integral

Normed Spaces and Lp-Spaces

Hilbert Spaces

Special Topics in Integration

Bibliography

Product Details

ISBN:
9780120502578
Edited:
Burkinshaw, Owen
Author:
Burkinshaw, Owen
Author:
Burkinshaw, Aliprantis, Charalambos D., Owen
Author:
Aliprantis, Charalambos D.
Author:
Burkinshaw, Aliprantis, Charalambos, Owen
Publisher:
Academic Press
Location:
San Diego :
Subject:
Differential Equations
Subject:
Mathematical Analysis
Subject:
Functions of real variables
Subject:
General Mathematics
Subject:
Mathematics-Analysis General
Edition Number:
3
Publication Date:
19980931
Binding:
HARDCOVER
Language:
English
Illustrations:
Yes
Pages:
415
Dimensions:
9.25 x 6 in.

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Related Subjects

Reference » Science Reference » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Differential Equations

Principles of Real Analysis New Hardcover
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$168.95 In Stock
Product details 415 pages Academic Press - English 9780120502578 Reviews:
"Synopsis" by , With the success of its previous editions, Principles of Real Analysis, Third Edition continues to introduce students to the fundamentals of the theory of measure and functional analysis. The authors have included a new chapter on Hilbert Spaces as well as integrated over 150 new exercises throughout. This Third Edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniel Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises in the book. Topics are treated rigorously, illustrated by examples, offering a clear connection between real analysis and functional analysis.

"Synopsis" by , a new chapter on Hilbert Spaces

* Provides a rigorous introduction to measure theory

* Illustrated with new and varied examples in each chapter

* Introduces topological ideas in a friendly manner

* Offers a clear connection between real analysis and functional analysis

* Includes brief biographies of mathematicians

"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student."

--J. Lorenz in Zentralblatt für Mathematik

"...a clear and precise treatment of the subject. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use."

--CASPAR GOFFMAN, Department of Mathematics, Purdue University

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