Real Analysis (Baby Rudin vs Apostol)

[Falgun]

I am currently trying to self study Real analysis . I have completed Hubbard's Multivariable book & Strang's Linear algebra book. I have Apostol's Mathematical Analysis & Baby Rudin . I started with rudin yesterday and was making excellent headway until I encountered a theorem about 15 pages in. After some difficulty I managed to prove it but when I saw rudin's proof I was completely baffled. He did in three lines what took me a page . I am still trying to understand the proof as of now. But I am beginning to feel rudin might not be as good as a sole textbook. I am considering using apostol's book as a supplement.
How does it compare to Rudin?

Does anyone have any suggestions about using apostol & rudin in conjunction?

Feel free to recommend other resources and tips to learn analysis.Thanks in advance.

 

[Frabjous]

I know that people have issues with it, but if you feel that a verbose approach would work better for you, take a look at Strichartz.

Many people recommend Abbott Understanding Analysis.

 

[Falgun]

I know that people have issues with it, but if you feel that a verbose approach would work better for you, take a look at Strichartz.

Many people recommend Abbott Understanding Analysis.

I flipped through a pdf of abbott before I tried rudin but I didn't find it all that satisfying. Sure, the writing's excellent and very easy to read but I felt the pace was too slow. As for strichartz I don't think it will suit me for the same reason.

What are your thoughts on Apostol's Analysis book?

I was more hoping you would tell me how to use Rudin & Apostol together?
Like should I get the theory from apostol & problems from rudin or what?

 

[Infrared]

I like Rudin a lot, but another option is Carothers' book. It's maybe a gentler read and has good exposition and problems from what I've looked at. I think it also covers more than Rudin (though it doesn't do any multivariable analysis from what I remember).

 

[Falgun]

I like Rudin a lot, but another option is Carothers' book. It's maybe a gentler read and has good exposition and problems from what I've looked at. I think it also covers more than Rudin (though it doesn't do any multivariable analysis from what I remember).

Sure I'll check it out.