# “Comprehensive Proof” Math books?

I haven't read many math books (only the ones required for class and some I picked up on my own) but most all the math books I have read so far leave out important proofs for several Theorems. Sure, proofs should be left as exercises but some Theorems are difficult to prove with lack of mathematical maturity (and I don't like "accepting it" for now and someday learning to prove it).

So is there (or are there) books that have proofs for every Theorem in its specific branch of mathematics? For example, a book on Analysis that has a proof on every theorem (specific to Analysis), from the beginning to the "end"?

• Analysis has an "end"? – Lord Shark the Unknown Nov 9 '17 at 6:17
• To be frank, wouldn't this apply to basically any textbook that doesn't cover the foundations of math in detail? So for example, I think the Intro to Set Theory book by Hrbacek and Jech basically starts "from ground zero," but most analysis and algebra books don't talk about set-theoretic justifications.... – pseudocydonia Nov 9 '17 at 6:22
• @Lord Shark the Unknown That's why I said "end," because Analysis itself doesn't have one (or does it?) but Analysis books do have an end. Sorry if I wasn't clear on that. – Tomás Palamás Nov 9 '17 at 6:36
• @pseudocydonia I'm speaking about Theorems specific to $X$ branch of math such as Intro to Analysis, Intro Abstract Algebra, etc. – Tomás Palamás Nov 9 '17 at 6:38
• I would recommend reading "Foundations of Analysis" by Edmund Landau- and then realizing that this is not really what you want. – Michael Greinecker Nov 9 '17 at 9:28