Re: Question about Apostol Text

On Aug 1, 11:00 am, daniel smith <daniel6...@xxxxxxxxx> wrote:
Rudin's 'Principles Of Mathematical Analysis' is easier to carry and better preparation for grad school.

When you say "better preparation" in what sense do you mean this? Do
you think Rudin is better in that it is more rigorous than Apostol?

I had Rudin as an undergrad for a 2 semester course in analysis and
got A's in both classes, but the reasons why I have shied away from it
are:
i) does not seem to be as comprehensive as Apostol (as far as the
variety of topics it covers).
ii) I am also not totally convinced that Rudin covers the material in
sufficiently greater depth than Apostol does (with the possible
exception of the last few chapters of Rudin that deals with measure
and differential forms). BUT, I could be wrong here, so I'm interested
in what others think in this regard.
iii) Since my interest is in applied math, I was not crazy about a
book dealing with the basic theory of calculus that has no figures,
motivations, or applications.


Matt
.