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Principles of Mathematical Analysis (International Series in Pure and Applied Mathematics) (International Series in Pure & Applied Mathematics) 3rd Edition
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I bought the international edition, a.k.a. paperback version. My roommate has the hardcover version. My paperback took a lot of abuse over the semester, but it held up very well. The outside of the book is a little scuffed up from being stuff in my backpack, but, overall, it's still in good shape. My roommate's hardcover copy held up slightly better and looks a little nicer on the shelf... But, at a fraction of the cost of the hardcover, I am overall satisfied (it helped me get an A :) ).
In terms of the physical book, expect thin pages. As long as you're not extremely rough, I had no problems and the book held up well.
As other reviewers have mentioned, he flys through the section on Topology. It is helpful to have prior experience studying metric spaces, etc. But not required. I believe this faster than normal pace is due to the fact that this isn't a course on Topology, but a course on analysis and the purpose of this chapter is to set the stage for the rest of the book.
Unlike other reviewers, I don't necessarily agree that you need to be familiar with the material prior to reading the book. Everything is there you need to understand it. He intentionally stays on the terse side because he expects you to fill in the details yourself as a way to become more mathematically mature. This book might be challenging for a first rigorous book in mathematics, but it is certainly not impossible.
If this is your first time through Analysis, this book will be hard, but worth every minute. Avoid the eleventh chapter and instead pick up and continue with his "Real and Complex Analysis" when you're done with this magnificent volume.
I would strongly suggest Apostol's Mathematical Analysis first, then, once you have the basics down packed, move on to Baby Rubin.Otherwise, this book is gonna make you feel like a little kid who just got pushed into the deep end of the pool!
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it is also the most beautiful.Read more