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How hard isbaby Rudin? 
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#1
Jun811, 02:37 AM

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I am currently selfstudying Apostol's Calculus, and I am able to grasp what he's teaching. I've also read a proof based books and feel comfortable with proofs. Will baby Rudin be too hard to selfstudy from? People say he is terse. People also say Apostol is dry, but I don't think it is so bad.



#2
Jun811, 07:52 AM

P: 299

Rudin is a little longwinded but it probably wouldn't be too bad. You might try another (undergraduate) real analysis book first. How far are you into Apostol? I assure you, the end sections are very different from the earlier ones but your success in both hinges almost entirely on how thoroughly you understand the arguments and logic presented in all the sections you've read before it, so be careful.



#3
Jun811, 08:22 AM

P: 44

I'm at polynomial approximations in Apostol volume 1. The estimates for polynomial errors are a little crypticI cannot do most of the problems in that sectionso I'm supplementing with an international edition of Courant. Also I'm right now looking on the web for information on little o notation, because I'm not seeing how the o's add together.
Will a book like Shilov's be a good intro to make way for Rudin? I have both Shilov's Linear Algebra and Elementary Real and Complex Analysis. I want to do Rudin because I want to be wellprepared for graduate level math, and I have to selfstudy because I cannot get a math or physics bachelor's degree. Also I read that Rudin goes into multivariable analysis, something that sounds interesting. I could probably order an international edition quite cheap, so money's not a problem here. I just want to be at graduate school level after a few years while I'm pursuing a less demanding degree. 


#4
Jun811, 09:07 AM

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How hard isbaby Rudin?
Rudin's book is horrible. He gives almost no intuition on the subject and treats mant things ad hoc. His treatise on multivariable calculus is so bad that it causes me to cry. And the chapter on Lebesgue integration is a mutilation of such a beautiful subject.
Most of the time, Rudin just wants to impress you with how smart he is... I highly recommend the books by Berberian which are simply lovely books. 


#5
Jun811, 09:16 AM

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#6
Jun811, 09:29 AM

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I feel that the book by Bak and Newman is very good!
I originally learnt complex analysis from the book of Freitag & Busam, but somehow, I feel that the book is a bit too chaotic... 


#7
Jun911, 12:47 PM

P: 50

http://www.amazon.com/review/R23MC2P...tag=&linkCode= "Book should be called "Tada! You're a mathematican!"" 


#8
Jun911, 12:57 PM

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I don't think Rudin's book is horrible  in fact, I think the first eight chapters are wonderful once you have a certain level of "analysis maturity"  but I also believe that many students are not going to gain an intuition for the material by selfstudying Rudin, no matter how long they struggle with it. (Rudin's book plus a good instructor is another story.) 


#9
Jun911, 01:15 PM

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Don't get me wrong, I like rigourous books. Books may be very technical and terse for me. But they should at least give some kind of motivation for the results! Professional math papers do that, so math books should do that too. Never, in his entire book does Rudin even mention that Lebesgue measure is just a formalization for "length" or "area". As a result, I understood nothing of Rudin's treatise. If he at least mentioned something like that, then I would be fine. (OK, maybe I was stupid for not seeing that, but still). The chapter on multivariate calculus is bad too. Basically, he says that Stokes' theorem is true by definition. I don't find that very satisfactory... EDIT: If I read Rudin right now, it's a wonderful book and I like to read it. But that's only because I know the material already and I know what Rudin is trying to do. So I feel that Rudin should be used to refresh some results and to prepare you for later courses. But certainly not as a first course... 


#10
Jun911, 07:27 PM

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