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Real Analysis (4th Edition) 4th Edition

by Halsey Royden (Author), Patrick Fitzpatrick (Author)
3.3 out of 5 stars 18 customer reviews
ISBN-13: 978-0131437470
ISBN-10: 013143747X
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Product Details

  • Hardcover: 544 pages
  • Publisher: Pearson; 4 edition (January 15, 2010)
  • Language: English
  • ISBN-10: 013143747X
  • ISBN-13: 978-0131437470
  • Product Dimensions: 7.1 x 1.3 x 9.2 inches
  • Shipping Weight: 2.2 pounds (View shipping rates and policies)
  • Average Customer Review: 3.3 out of 5 stars  See all reviews (18 customer reviews)
  • Amazon Best Sellers Rank: #522,647 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

2.0 out of 5 starsThis can't be the best book out there...
By From Detroit on October 19, 2011
Format: Hardcover Verified Purchase
We're using this text for my real analysis class. We've made it through 8 chapters so far, and I must say that I'm rather disappointed with this book. I can't compare the 4th edition to any of the previous editions, as I haven't read them, but I'm not sure if this really could be called an improvement. It's riddled with errors (the errata, as of September 2011, is 12 pages long, and even it has errors! I've found some of the proofs to be confusing (for example, see his proof of Young's inequality... I find that using the convexity of the exponential is much clearer. Semi-frequently, I find myself digging through Stein and Shakarchi, Kolmogorov and Fomin or Bruckner, Bruckner and Thompson's Real Analysis book to figure out what's going on.

Professors: If you're going to require a text that costs this much, make sure it has less errors.
Students: It's not just the reading that's flawed! Several exercises have typos, or are even completely misstated! Here's a link to the errata:

[...]

*Apparently the link was removed by someone that wasn't me. I suspect that it caused some red flags for Amazon to have an external link here. One can easily find it by typing "Royden Errata 4th Edition" in any search engine. 1/14/2012
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1.0 out of 5 starsToo many issues.
By James M. Snyder on April 14, 2015
Format: Hardcover Verified Purchase
I recently ordered a copy of this book from Amazon. I had tried without success to make sure that they sent me a late printing so that I could avoid the typos. Unfortunately, these efforts failed and the copy they sent me had all of the 19 pages worth of errata still in it. I don't understand why that should be since the errata page says a corrected printing was to be created in 2011 and I was told personally by professor Fitzpatrick that a corrected printing has been published. The margin at the binding side is very narrow so that the book has to be forced all the way open in order to read all of it. Unfortunately, the binding is very flimsy and it is easy to imagine that it won't last long being constantly opened wide like that. I'm going to pass on this book unless I can be assured that these issues have been addressed and resolved.
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3.0 out of 5 starsOkay book, not okay print
By Nina on February 3, 2013
Format: Hardcover Verified Purchase
My Real Analysis class follows this book. However, when I ordered it and got it, I found out that I have a bad printout - when any previously used equations were mentioned, only (??) was in the text, some exercises were missing or numbered differently, and some paragraphs were also missing. Somehow, the book cover was the same as the 4th edition. The seller agreed to take the book back, but it was still inconvenient, and I met other people from my class who had the same problem.
3 Comments 6 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
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3.0 out of 5 starsRoyden rolling in his grave.
By Kaleb on September 13, 2015
Format: Hardcover Verified Purchase
Unfortunately, adding Fitpatrick to the authorship of this previously wonderful real analysis text did not benefit anyone--at least in the fourth edition, first printing. There were more errata in this text than I've ever seen in any other text. It makes you wonder if anyone was checking the text before it was published. I'm hoping later printings improved, but my professor, classmates, and I did not appreciate being beta testers. Unfortunately, because of the state of this text, the professors who loved and used Royden at my graduate school have since switched to Folland for all future real analysis course. It's quite a shame, and I'm not sure Mr. Royden would have been pleased.
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4.0 out of 5 starsnice book, but have some typos
By Alvin on April 23, 2014
Format: Hardcover Verified Purchase
I used this book in my second semester analysis class. I think the book does a good job laying out measure theory and Lebesgue integration, and materials about topological spaces can serve as complement reading of Munkres' book (I'm taking topology at the same time). However, there are some typos in the book and some of the questions and examples are wrong.

For example, p43, q18 is wrong; p143 q9 is wrong because in Young's inequality there is equality iff a^p=b^q, and on the same page the last example is incorrect.
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5.0 out of 5 starsFitzpatrick Don't Speak So Goodly
By Ian Hogan on November 27, 2012
Format: Hardcover Verified Purchase
The grammatical errors induced from third to fourth edition are quite irksome. Also, in many proofs, key words and symbols are switched, changing the meaning. But, the third was an outstanding book and the fourth is still my best resource on the subject.
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4.0 out of 5 starsA big improvement over 3rd Edition
By ProgearStorm on May 22, 2013
Format: Hardcover
When I found out that my class for real analysis would be using Royden, having used the 3rd edition long ago, I lost all hope for things turning out well. Short version: that book is awful for a student trying to learn the subject from scratch. Luckily, this is 4th Edition. It turns out measure theory isn't that hard! This time the proofs are clear, examples are sufficient, and there are more than enough problems. It's almost impossible to compare the editions.

That said, there are two problems that keep this from being a five-star book. First, check out the errata. Lots of mistakes. Second, the publisher let through a bunch of copies that had broken typesetting, so watch out for that. They evidently didn't recompile their TeX when they should have, so in some copies (my original included) the references will be question marks instead of equation or theorem numbers. As you can guess, it is not helpful to be referred to theorem ?? or be told in a problem to justify equation ??.

Overall it's a very good book, but there's a lot to watch out for. If you keep the errata nearby and make sure you didn't get a bad copy, you too can be thankful that you're not using 3rd Edition.
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Most Recent Customer Reviews

1.0 out of 5 starsGreat book, but don't buy the hard cover

Great book, but don't buy the hard cover. The book ripped out of the binding in less than a week of light use.

Published 13 months ago by Dustin McPhate
4.0 out of 5 starsOver all I really like the book though

There are a lot of issues with the book. The author posted an errata. Over all I really like the book though... except that errata is kinda long.

Published 20 months ago by Ted
1.0 out of 5 starsIf you have to buy it, buy the paperback.

Give one star just want to attract your attentions!
DO NOT BUY THE HARDCOVER!
I bought the hardcover version and my friend bought the paperback version. Read more

Published 23 months ago by C.S.
5.0 out of 5 starsVery well revised

I bought every version of it--the 2nd, 3rd, and then this one. All old chapters in the 3rd version have been very well revised, and new chapters have been added. Dr. P.M. Read more

Published on March 10, 2014 by PrDrGY
3.0 out of 5 starsIt's not a bad book.

This book is good for people who have already don't some graduate real analysis. How ever this book has more problems which is a plus and few text errors. Read more

Published on October 27, 2013 by Dharnisha
5.0 out of 5 starsDon't listen to the other reviews -- This is a spectacular book

This book is excellent. The layout is clean, and the proofs are solid and short. Why are people so irrational in their reviews of textbooks? 2/5 stars? Read more

Published on March 24, 2013 by Mr. Robert Hannah
5.0 out of 5 starsGreat textbook

Having read both editions (3rd and 4th), I have to say that Fitzpatrick did a great job in making the book more "understandable". Read more

Published on May 8, 2012 by PK

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