Where Can I Find a Free, Readable Analysis II Textbook?

[Mariogs379]

Hey guys,

I'm looking for a good second book in analysis (ideally free/online, but doesn't have to be). My Analysis I class used Baby Rudin and did the first 6 chapters but I really disliked the book.

Any suggestions would be great! Fwiw, I found Abbott's "Understanding Analysis" really readable, whereas Rudin was terse/uninstructive.

Thanks,
Mariogs

 

[ahsanxr]

For multivariable calculus, Munkres' "Analysis on Manifolds" is excellent. Spivak's book is also good but a bit terse, and it takes a similar approach to Munkres, just using less pages. So I'd go for Munkres.

 

[Sankaku]

Here is Bruckner, Bruckner, & Thomson:

http://classicalrealanalysis.info/com/FREE-PDF-DOWNLOADS.php

I used the Elementary Real Analysis one for a Baby Rudin level course. It was pretty good, except some of the later material for differentiation in R^n. I haven't really used the Real Analysis one, but it is mainly on measure theory and Lebesgue integration, if that is what you consider a "second course."