Sheldon Axler's "Algebra & Trigonometry" vs. "Precalculus: A Prelude."

Thread starter ghostwind
Start date Jun 2, 2014
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Algebra Precalculus Trigonometry

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The discussion centers around the choice between Sheldon Axler's "Precalculus" and "Algebra & Trigonometry" books, with users noting that both have similar content but differ in organization and complexity. Some participants express concerns about the appropriateness of proof-based learning for younger students, suggesting it may not engage them effectively. The conversation also touches on the need for concise and rigorous math texts for adult learners returning to study, with recommendations for other books like Lang's and Simmons' calculus texts. Ultimately, users are seeking a balance between theory and practical application in their math studies. The consensus leans towards Axler's "Precalculus" for its clarity and focus, particularly for adult learners preparing for calculus.

Jul 13, 2014

ghostwind

Yes, I can imagine the early edition of Thomas and even Stewart were probably a lot better. But I've already settled on Spivak and like it just fine. Remember, for me, this is more review as I've taken a lot of math before and done well. But I want something more heavy to supplement the easy/computational Stewart book. Early Thomas, while most surely better, is I would think in my intermediate list of books. And that is redundant for me. I want more in-depth, theory, and analysis. Spivak is a nice supplement IMO so far. I've done proofs before, so books like "How to Solve It" won't be too helpful. Spivak is nice because the problems are challenging. The text itself is easy to read through. Same goes for Apostol, though Apostol is more thorough. So I would recommend an intermediate book to a serious beginner, but for someone that's gone through it a long time ago, and needs to use a computational book for refreshing, then the better supplement is Spivak or Apostol which go deep and make you think.