So I'm thinking of doing the following course progression:
Baby Rudin
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)?
Thanks
EDIT: I am willing to commit 2-3 hours a day, occasionally more.
Best Answer
Those are nice choices. If you haven't studied linear algebra before you may want to replace Halmos with a slightly more elementary book. I like Lang's linear algebra but just about any "Intro to Linear Algebra" book should do. No one can argue with you choosing both Rudins. Herstein is a fine book as well but the book by Dummit and Foote is only slightly more advanced and much more comprehensive (as well as readable). As far as the time you'll spend it's really hard to say. If you spent 2 hours a day in intensive seclusion studying these books I guess you could be done in a year. So 700-800 hours? Hope this helps.