I'm highly interested in pure mathematics, so I wanted to know some of the best textbooks that would prepare me for advanced pure math classes in college. I already understand most math that would be taught in high school, however I would like to re-learn it in a more rigorous way. (Our school's textbooks are pretty bad.) So far, my list looks something like this: (I chose many books from Howers's great thread on pure math textbooks, but changed some of the higher level math textbooks) Algebra 1: Elementary Algebra, Jacobs Algebra, Gelfand Geometry: Geometry, Jacobs (I'm using the earlier editions of Jacobs's books by the way.) Algebra 2: Precalculus, Sullivan I've heard Precalculus with unit circle trigonometry is a good text, does anyone else know about it? Functions and Graphs, Gelfand Trig: Trigonometry, Gelfand Calculus (From here on out I can't remember the names of the textbooks): Spivak Analysis: Rudin, Pugh Linear Algebra: Hoffman and Kunze Abstract Algebra: Dummit and Foote Topology: Munkres Please tell me, is this a good list? If you have any better textbooks or recommendations please tell me. Thank you for your help!