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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SUMMARY

The discussion centers on the comparison between Sheldon Axler's "Algebra & Trigonometry" and "Precalculus: A Prelude." Participants note that while both books cover similar content, the "Algebra & Trigonometry" book contains additional material, particularly in systems of equations and matrix algebra. Users express a preference for Axler's books due to their proof-based approach, although some caution against using them for younger learners. Recommendations for supplementary calculus texts include Apostol, Simmons, and Spivak, with a focus on balancing theory and practical application.

PREREQUISITES

Understanding of proof-based mathematics
Familiarity with algebraic concepts and trigonometric functions
Basic knowledge of systems of equations and matrix algebra
Awareness of different pedagogical approaches to mathematics education

NEXT STEPS

Research the differences between Axler's "Algebra & Trigonometry" and "Precalculus: A Prelude"
Explore Apostol's "Calculus" for a theoretical approach to calculus
Investigate George Simmons' "Calculus with Analytic Geometry" for a balanced perspective
Review Blitzer's "Precalculus" for a more accessible alternative

USEFUL FOR

Adult learners returning to mathematics, educators seeking effective teaching resources, and students preparing for calculus courses will benefit from this discussion.

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.