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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!

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!

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