These are my own opinions about analysis and algebra, which I know some other mathematicians share. read more
" Analysis and algebra both rely heavily on deductive reasoning and contextual understanding. At the same time, pie and cake are both delicious. read more
On the other hand, most students studying analysis have already taken a less-rigorous calculus sequence so there's no problem with understanding the motivation ("you're learning a rigorous version of calculus"), whereas on first encountering algebra it may not be at all clear why you're learning about these abstract things called groups, rings, and fields which seem to have nothing to do with the mathematics learned up to that point. read more
There are some abstract algebra books out there that look pretty nice, although I haven't read them. Charles Pinter, A Book of Abstract Algebra. Visual Group Theory by Nathan Carter. And there's Hermann Weyl's old classic, Symmetry. Another comment I could make is that I noticed a lot of the other math majors seemed to catch up to me after a while. read more