A Course in Real Analysis / Edition 2

Hardcover (Print)
Buy Used
Buy Used from BN.com
(Save 33%)
Item is in good condition but packaging may have signs of shelf wear/aging or torn packaging.
Condition: Used – Good details
Used and New from Other Sellers
Used and New from Other Sellers
from $59.50
Usually ships in 1-2 business days
(Save 55%)
Other sellers (Hardcover)
  • All (12) from $59.50   
  • New (5) from $67.81   
  • Used (7) from $59.50   


A Course in Real Analysis provides a firm foundation in real analysis concepts and principles while presenting a

broad range of topics in a clear and concise manner. This student-oriented text balances theory and applications, and contains a

wealth of examples and exercises. Throughout the text, the authors adhere to the idea that most students learn more efficiently

by progressing from the concrete to the abstract. McDonald and Weiss have also created real application chapters on

probability theory, harmonic analysis, and dynamical systems theory. The text offers considerable flexibility in the choice of

material to cover.

Audience: Intended for a one-year course in real analysis for undergraduate and first-year graduate courses. Primarily for mathematics majors and requires advanced calculus.

Read More Show Less

Editorial Reviews

A textbook for a one-year course at the graduate or advanced undergraduate level, incorporating pedagogical techniques not often found in such treatments. Encompasses set theory, real numbers, and calculus; measure, integration, and differentiation; topological, metric, and normed spaces; and harmonic analysis and dynamical systems. Suggests various ways of presenting the material. Includes a biographical sketch of a famous mathematician at the beginning of each chapter. No bibliography. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher
"The second edition of A Course in Real Analysis provides a solid foundation of real analysis concepts and principles, presenting a broad range of topics in a clear and concise manner. The book is excellent at balancing theory and applications with a wealth of examples and exercises. The authors take a progressive approach of skill building to help students learn to absorb the abstract."—Zentralblatt MATH 2012-1239-26003 "This is a beautifully written text. There is an excellent choice of topics and results, topics are well motivated, proofs are precise and very readable, and there are lots of meaningful examples and useful exercises."—Bruce A. Barnes, University of Oregon "This text provides the 'between the lines' insight that many students need. The greatest strengths of the text are the order of topics, the inclusion of all major ideas of the theory, the easy readability, and the strong motivation and tight organization of topics."—Dennis D. Berkey, Boston University "The authors' exposition is extremely clear. There is literary quality in the writing that is rare in mathematics texts. It is a pleasure to read this text."—Peter L. Duren, University of Michigan
Read More Show Less

Product Details

  • ISBN-13: 9780123877741
  • Publisher: Elsevier Science
  • Publication date: 1/27/2012
  • Edition description: New Edition
  • Edition number: 2
  • Pages: 688
  • Product dimensions: 7.60 (w) x 9.30 (h) x 1.20 (d)

Meet the Author

Neil A. Weiss received his Ph.D. from UCLA and subsequently accepted an assistant-professor position at Arizona State University (ASU), where he was ultimately promoted to the rank of full professor. Weiss has taught mathematics, probability, statistics, and operations research from the freshman level to the advanced graduate level.

In recognition of his excellence in teaching, he received the Dean’s Quality Teaching Award from the ASU College of Liberal Arts and Sciences. He has also been runner-up twice for the Charles Wexler Teaching Award in the ASU School of Mathematical and Statistical Sciences. Weiss’s comprehensive knowledge and experience ensures that his texts are mathematically accurate, as well as pedagogically sound.

Weiss has published research papers in both theoretical and applied mathematics, including probability, engineering, operations research, numerical analysis, and psychology. He has also published several teaching-related papers.

In addition to his numerous research publications, Weiss has authored or coauthored books in real analysis, probability, statistics, and finite mathematics. His texts-well known for their precision, readability, and pedagogical excellence-are used worldwide.

In his spare time, Weiss enjoys walking and studying and practicing meditation. He is married and has two sons and three grandchildren.

Read More Show Less

Table of Contents

Pt. 1 Set Theory, Real Numbers, and Calculus
1 Set Theory
Biography: Georg Cantor
2 The Real Number System and Calculus
Biography: Georg Friedrich Bernhard Riemann
Pt. 2 Measure, Integration, and Differentiation
3 Lebesgue Theory on the Real Line
Biography: Emile Felix-Edouard-Justin Borel
4 Measure Theory
Biography: Henri Leon Lebesgue
5 Elements of Probability
Biography: Andrei Nikolaevich Kolmogorov
6 Differentiation
Biography: Johann Radon
Pt. 3 Topological, Metric, and Normed Spaces
7 Elements of Topological, Metric, and Normed Spaces
Biography: Pavel Samuilovich Urysohn
8 Complete Spaces, Compact Spaces, and Approximation
Biography: Marshall Harvey Stone
9 Hilbert Spaces and the Classical Banach Spaces
Biography: David Hilbert
10 Basic Theory of Normed and Locally Convex Spaces
Biography: Stefan Banach
Pt. 4 Harmonic Analysis and Dynamical Systems
11 Elements of Harmonic Analysis
Biography: Ingrid Daubechies
12 Measurable Dynamical Systems
Biography: Claude Elwood Shannon
Read More Show Less

Customer Reviews

Average Rating 3.5
( 3 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)