Sheldon Axler's texts do not primarily focus on proofs, making them less suitable for high school students seeking to learn proof techniques outside of geometry. Recommended alternatives include "Book of Proof" for foundational proof writing skills, and "Fundamentals of Freshman Mathematics" by Allendoerfer/Oakley, which introduces basic logic and proof strategies while covering pre-calculus topics. Additionally, Serge Lang's "Basic Mathematics" is noted for its rigorous treatment of pre-calculus subjects and is also recommended for high school students interested in proofs.
PREREQUISITESHigh school students, educators, and anyone interested in developing proof writing skills and understanding pre-calculus topics in a rigorous manner.
This course does not focus much on proofs
I don't think there are 'high school level proof'. When I was in HS I trimmed through the Book of Proof. Then, I picked up a set theory book and worked through the various proofs (someone from PF suggested it) and it really was great. I can't say my proofwriting is perfect, but I know the basics well enough to work through Axler's LA and Abbott's Analysis in my first year of undergrad. Velleman also wrote a book on proofs but in my opinion, Book of Proof is straight up better.OceanSpring said:I'm looking for a book that teaches proofs at the high school level. Something other than a geometry text.