So I'm thinking of doing the following course progression:
Finite dimensional vector spaces Halmos
Abstract Algebra Herstein
Big Rudin (Real and complex analysis).
Is this a good course progression, assuming I already have calculus through multivariable, a decent understanding of differential equations, and a basic understanding of real analysis to begin with? Any suggestions with going through these books or time estimates for thoroughly working with the texts (preferably in hours, not days or weeks or anything like that)?
EDIT: I am willing to commit 2-3 hours a day, occasionally more.