What is a good book on algebra that is highly theoretical and covers functions, the binomial theorem, sequences/series (basically all algebra topics in college) and if possible, elementary number theory? Most books on highschool-college algebra today don't cover theory at all and when they do claim to do so, they really don't. Books today are fluffed up with the "How?" rather than the "Why?" and I find this very infuriating. That's why I am looking for a theoretical algebra book, IF it even exists. NOTE: Gelfand's Algebra is too elementary and I have already read it.