What books should I get to self study beyond Calculus for someone about to start undergrad mathematics?

I am struggling to pick out books when it comes to self studying math beyond Calculus.

My situation is as follows. I have taken all math courses at my school (up to Calc BC and AP Stats) and I have scored 5’s on all of the exams. I am going to major in math at college next year but I really do enjoy learning in my free time and I am out of material. I have looked at some of the stuff on KhanAcademy, but the videos go really slowly and lack depth, so I would prefer something to read.

The only semi math book I have read for fun was Gödel, Escher, Bach which I greatly enjoyed. I am looking for anything, even if it reads similar to a textbook, that could further advance my mathematical knowledge in any way. Thank you.

EDIT 1: All answers do answer my question to some extent, so I will not be accepting an answer but rather using them all. Please continue to answer this question as I enjoy having more material to read.


Don’t read anything too advanced, i.e. you should be able to understand everything, so you don’t waste your time.

How to Prove It: A Structured Approach – Velleman

Numbers and Geometry – Stillwell

Calculus – Spivak

Linear Algebra Done Right – Axler

Source : Link , Question Author : schmidt73 , Answer Author : Hulkster

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