aliprantis/burkinshaw analysis textbook

battousai

does anyone have any experience of using this book? How does this compare to standard analysis textbooks ie. Baby Rudin, Apostol, Bartle/Sherbert etc.?

wisvuze

http://www.amazon.com/Principles-Rea...9252259&sr=8-1

this one? It's on a higher level than those 3 you've listed. Baby Rudin hardly talks about measure

battousai

yeah that one. So it's at the level of big Rudin?

basically I'm looking for a textbook to learn analysis from at the level of baby Rudin. But some people (micromass) hates the blue book for being too terse , and not giving intuition. I have the book, but I'm also looking for other options.

micromass

I don't exactly hate baby Rudin because it is too terse. I hate it because it gives no intuition, there is a difference. Rudin likes to make things difficult (in my opinion) and it's not helpful to people new to analysis.

That said, I like Aliprantis quite a lot. It is more oriented towards functional analysis than other textbooks. But it is NOT a book suitable for beginners in analysis.

So, what is your experience in mathematics/analysis?? Did you ever complete a book at the level of Spivak's calculus??

Another book which is very interesting is Carothers. I think that book would be suitable for somebody who completed Spivak's calculus. Aliprantis might be too difficult.

Another nice book (which happens to be mathwonk's favorite) are the books by Berberian. However, I find it's introduction to analysis somewhat too easy. The other books are nice though.

I suggest you go to some sort of library and check out several analysis books. Read the first chapter and make some exercises. Then you can pick whichever you like best.

battousai

we did proofs in my multivariable calculus class, using williamson/trotter textbook. just finished with upper division linear algebra using friedberg/insel/spence. writing proofs isn't too much of a problem for me.

is this

http://www.amazon.com/Real-Analysis-.../dp/0521497566

the book you're talking about? if so, what is good about this?

micromass

Yes, that's the book.

battousai

Is it a good book to learn analysis from? Or more of a reference (like some of the amazon reviews suggest)?