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

  1. Feb 22, 2016 #1
    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.
  2. jcsd
  3. Feb 22, 2016 #2
    So, I found my own answer on the Axler texts. Other recommendations are welcome.

  4. Feb 23, 2016 #3
    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.
  5. Feb 23, 2016 #4
    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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