Principles of Real Analysis, Second Edition

3.43 avg rating
( 7 ratings by Goodreads )
 
9780120502554: Principles of Real Analysis, Second Edition

This major textbook on real analysis is now available in a corrected and slightly amended reprint. It covers the basic theory of integration in a clear, well-organized manner using an imaginative and highly practical synthesis of the 'Daniell method' and the measure-theoretic approach. It is the ideal text for senior undergraduate and first-year graduate courses in real analysis, assuming student familiarity with advanced calculus and basic algebraic concepts.

"synopsis" may belong to another edition of this title.

From the Back Cover:

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

Review:

"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, ZENTRALBLATT FUR MATHEMATIK
"...a clear and precise treatment of the subject. All details are given in the text...I used a portion of the book on extension of measures and product measures in a graduate course in real analysis. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use."
--Casper Goffman, PURDUE UNIVERSITY

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Charalambos D. Aliprantis; Owen Burkinshaw
Published by Academic Press (1990)
ISBN 10: 0120502550 ISBN 13: 9780120502554
New Hardcover Quantity Available: 1
Seller
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Academic Press, 1990. Hardcover. Book Condition: New. book. Bookseller Inventory # 120502550

More Information About This Seller | Ask Bookseller a Question

Buy New
61.43
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Charalambos D. Aliprantis; Owen Burkinshaw
Published by Academic Press (1990)
ISBN 10: 0120502550 ISBN 13: 9780120502554
New Hardcover Quantity Available: 1
Seller
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Academic Press, 1990. Hardcover. Book Condition: New. book. Bookseller Inventory # 0120502550

More Information About This Seller | Ask Bookseller a Question

Buy New
86.78
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds