This is the classic introductory graduate text. Most helpful customer reviews 0 of 0 people found the following review helpful. A classic in real analysis. Rogelio This book, as far as I consider it, is a classic.

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This text assumes a general background in mathematics and familiarity with the fundamental concepts of analysis. Classical theory of functions, including the classical Banach spaces; General topology and the theory of general Banach spaces; Abstract treatment of measure and integration. For all readers interested in real analysis. I find that using the convexity of the exponential is much clearer. Several exercises have typos, or are even completely misstated!

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. Short version: that book is awful for a student trying to learn the subject from scratch.

Luckily, this is 4th Edition. This time the proofs are clear, examples are sufficient, and there are more than enough problems. 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.

As you can guess, it is not helpful to be referred to theorem?? 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??

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. Robert Hannah on Mar 24, 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? But still good enough be the main reference in a Harvard analysis course?

I believe I will do the opposite to balance out the universe 4. Yes there are errors, but part of there reason for that is that some chapters contain over 70 questions!

Often a textbook will have a terse list of errata simply because the author does not put much effort into correction of errors that people find This text contains double or triple the number of questions found in Rudin, and doing questions is the only way to really learn something in maths. Personally I would recommend doing every single question apart from trivial ones to gain the most from this book. I bought an international edition from AbeBooks.

If you have to buy it, buy the paperback. I bought the hardcover version and my friend bought the paperback version. The paperback version is average. The hardcover version for this book is extremely poor in quality paper quality and printing quality. The content of the book is just ok but sometimes we have no choice other than this book.

But, seriously, keep away from the hard cover version. I have other hardcover textbooks and their quality are far better than the Royden;s Real Analysis 4th Edition. However, there are some typos in the book and some of the questions and examples are wrong. Annoying typos By Chuong Nguyen on Apr 16, I would give this book 5 star if it were not because of typos. I agree with the other review regarding typos: too many and the errata is 19 pages long.

Almost every single page in every chapter has typos. Most typos are easy to fix, but there are some where you have to insert a paragraph to fix it. Lets hope for a fix in the next edition I would buy it immediately. Thats being said, this is a good book to study but unfortunately, many typos keep it from perfect. Very well revised By Prdrgy on Mar 10, 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.

It appears no one proof-read the book. 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. Over all I really like the book though By Ted on Jan 28, There are a lot of issues with the book. The author posted an errata.

Over all I really like the book though Too many issues. By James M. Snyder on Apr 14, 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.

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. Royden rolling in his grave. By K on Sep 13, 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. It makes you wonder if anyone was checking the text before it was published.

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. Royden would have been pleased. Typos and Errors! Entire problems are written incorrectly!

You would be better off with the 3rd edition, or with another text entirely. Five stars! This particular edition is in a Hardcover format. It was published by Pearson and has a total of pages in the book. To buy this book at the lowest price, Click Here.

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Product Description This is the classic introductory graduate text. Heart of the book is measure theory and Lebesque integration. The course was structured as a sort of modified RL Moore method class: there were very few lectures, and we the students could only use theorems and propositions presented in the text if we had gone to the board and presented a valid proof for each. As such, most of the students learned the fundamentals very well. This in turn made my first graduate course in real variables much easier. It was disappointing to use Bartle and discover that so many of the problems in Royden, which I had spent countless hours attempting to prove, had been completely worked out in Elements of Integration. In short, Royden makes you work for many most?

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