Principles to Real and Complex and Functional

[SrVishi]

I'm reading Rudin's principles and so far I really like it. I find charm I'm his terseness, and I think having that motivation to do a lot of the stuff myself makes it pretty fun (like only using the outline of the Dedekind cuts section and prove all the steps myself). However, I have heard not so good things about his later chapters. I can stand having terse material, and even things left as exercises, but I don't like having things ommitted, as long as they are there I'm fine. But I know the stuff in later chapters is really important. Instead of using many other books which I might not have access to to supplement his later chapters (like 9 to 11), do you think I could get the "rest filled in" by going into his Real and Complex and Functional analysis book afterwards if it more sufficiently covers that? If not, I would appreciate if you guys knew what would be good supplementary material for these chapters? Thanks in advance.

 

[micromass]

If you like books that are 1) Terse 2) Comprehensive 3) Very good, then take a look at the two volumes of Zorich: https://www.amazon.com/dp/3540874518/?tag=pfamazon01-20 and https://www.amazon.com/dp/3540874534/?tag=pfamazon01-20 Like most russian textbooks, they are hardcore but really well written.