I am in under graduate first year. I want to learn some advanced real analysis. Can you give me some suggestions? One suggestion I got is Rudin's mathematical analysis. Can I buy that?
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1Rudin or "baby" Rudin? – John Habert Feb 19 '14 at 16:58
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Gilbert Strang - Calculus – Emo Feb 19 '14 at 17:04
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I think walter rudin – Sankar Sam Feb 19 '14 at 17:05
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@SankarSam Rudin has two main books used in teaching/learning analysis. The easier to work with one is often called Baby Rudin. It doesn't leave as much to the reader as "adult" Rudin does. I asked my question because if "adult" Rudin is the only suggestion given so far, I'd suggest Baby Rudin or something else. – John Habert Feb 19 '14 at 17:09
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If you want single variable stuff, Abbott's Understanding Analysis is a good start. It is sort of like a baby Baby Rudin.
If you want both single and multivariable analysis, my personal favorite is Fitzpatrick's Advanced Calculus.
The texts by Rudin are also of course "the standard" in analysis.
If you want to look at complex analysis, I like a book by Saff and Snider called Fundamentals of Complex Analysis for Mathematics, Science, and Engineering.
Vladhagen
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