Algebra Sheldon Axler's Algebra and Trig/Precalculus for proofs?

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Axler's texts do not focus heavily on proofs, which raises the need for high school-level resources that teach proof techniques outside of geometry. Recommendations include "Book of Proof," which is favored for its clarity and effectiveness in teaching proof writing. Additionally, a set theory book is suggested as a valuable resource for understanding proofs. "Fundamentals of Freshman Mathematics" by Allendoerfer/Oakley is recommended for its approachable treatment of logic and proof strategies alongside pre-calculus topics. Another notable mention is Serge Lang's "Basic Mathematics," which offers a rigorous approach to pre-calculus concepts. Both Allendoerfer/Oakley and Lang's texts are considered excellent for building proof skills at the high school level.
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Can someone tell me if Axler's texts use proofs? I'm looking for a book that teaches proofs at the high school level. Something other than a geometry text.
 
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So, I found my own answer on the Axler texts. Other recommendations are welcome.

This course does not focus much on proofs
 
OceanSpring said:
I'm looking for a book that teaches proofs at the high school level. Something other than a geometry text.
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.
 
If you would like to build a proof skill from the pre-calculus books, I recommend "Fundamentals of Freshman Mathematics" by Allendoerfer/Oakley. It starts with the basic logic and proof strategies, and treats the pre calculus topics (algebra, trigonometry, geometry, and basic probability) in a friendly, clear manner. The book is old, so you can find a used copy at very reasonable price.

Another book I recommend as a "high-school proof" is Serge Lang's Basic Mathematics, which treats the pre-calculus topics very rigorously. I personally like Allendoerfer/Oakley, but both books are great.
 
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