I've got a few months to go before I enter in graduate school, but I have to say that my math background is not as good as I would like. Thus, I would like to take the opportunity to strengthen it and work on undergraduate analysis. I had in mind to work on the Rudin book I've heard so much about, the book is very concise and covers a wide spectrum of mathematical analysis (and a bit of topology) seen in undergraduate so I thought it was suitable for what I want to do with it.
But I'd like to hear your opinions and recommendations if you've ever been in this situation and/or know of any other cool books (I'am also interested in functional analysis and especially Hilbert spaces so...) for the self-taught to get through the summer.
Thank you a lot !