What preparation is necessary for Rudin's Mathematical Analysis?

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To effectively approach Rudin's "Principles of Mathematical Analysis," a solid foundation in calculus is essential, along with a basic understanding of linear algebra. Familiarity with proofs is also important, making a resource like "How to Prove It" by Velleman beneficial for beginners. While some suggest studying Axiomatic Set Theory and topology beforehand, opinions vary on their necessity. Munkres' "Topology" is recommended as a useful companion text. For self-study, having access to knowledgeable individuals, such as professors, can enhance understanding. Additionally, MIT's open courseware provides valuable resources, including solutions to problems from Rudin. For a gentler introduction, Kenneth Ross's "Elementary Analysis" is suggested as a preparatory text.
stakehoagy
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I was wondering what knowledge is necessary before attempting to read Rudin's Principles of Mathematical Analysis. I heard somewhere that Axiomatic Set Theory by Suppes is a good start. Maybe a topology book. And probably a good understanding of calculus and linear algebra. Anything else come to mind?
 
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That sounds like a whole lot of overkill for that book. Perhaps what you've heard refers to Real and Complex Analysis? Even then...
 
Calculus. I had linear algebra prior to real analysis, but it wasn't really necessary.
 
thanks for the advice. I'm going to get the book from the library soon and get started.
 
I'd recommend Munkres' Topology as a good companion text.
 
If you aren't used to doing proofs then you might want to find a book on the basics of proofs. "How to Prove It" by Velleman has a good reputation.

If you're studying on your own, access to someone who knows analysis well (e.g. a professor) is great.

Also, MIT uses this book for their real analysis course, and the open courseware has some solutions to the problems (and extra problems).
 
try Elementary analysis by Kenneth ross. Its an easier read and it covers only single variable topics, but its good prep for rudin.
 

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