Algebra/Trigonometey (Precal) books with rigor?

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SUMMARY

The discussion centers on the search for rigorous algebra and trigonometry textbooks suitable for aspiring mathematicians. The user currently owns Sullivan's Precalculus, Stewart, and McGuire, which they find too easy. They recommend Cohen's book for its challenging problems but seek even more difficult options. Suggested titles include Serge Lang's "Basic Mathematics," I.M. Gelfand's "Trigonometry" and "Algebra," and "Principles of Mathematics" by Allendoerfer and Oakey.

PREREQUISITES
  • Understanding of basic algebra and trigonometry concepts
  • Familiarity with precalculus topics
  • Ability to solve mathematical problems independently
  • Knowledge of mathematical rigor and proof techniques
NEXT STEPS
  • Explore Serge Lang's "Basic Mathematics" for foundational rigor
  • Study I.M. Gelfand's "Trigonometry" for advanced trigonometric concepts
  • Read I.M. Gelfand's "Algebra" for a deeper understanding of algebraic structures
  • Investigate "Principles of Mathematics" by Allendoerfer and Oakey for historical mathematical perspectives
USEFUL FOR

Aspiring mathematicians, students seeking advanced precalculus materials, and educators looking for rigorous algebra and trigonometry resources.

TitoSmooth
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I am an aspiring mathemarician and wanted to know algebra/trig books with rigor. I have sullivan pre cal/ stewart/mcguie and these are extremely easy books. I enjoy the sullivan book because of its wide range of topics( introduction to vectors) but the exercises are extremely easy.

The best pre cal book I own is by Cohen and the problems are harder then the other books I own.
Yet I want to get a book or more that are more challenging then Cohen. Any ideas?
 
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How about another old one: Principles of Mathematics by Allendoerfer/Oakey?
 

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