Trigonometry book like Euclid's Elements?

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SUMMARY

The discussion centers on the search for a rigorous and insightful trigonometry book akin to Euclid's Elements. The user seeks a text that transcends typical high school or college freshman materials, avoiding "cookbook" style resources. Suggestions include "Algebra and Trigonometry" by Marshall D. Hestenes and Richard O. Hill Jr., with an emphasis on finding a book that integrates geometry and trigonometry or offers a comprehensive precalculus approach.

PREREQUISITES
  • Understanding of basic trigonometric concepts and functions
  • Familiarity with geometric principles and theorems
  • Knowledge of calculus fundamentals, as referenced by Spivak and Rudin
  • Ability to evaluate mathematical rigor and conciseness in texts
NEXT STEPS
  • Research "Algebra and Trigonometry" by Marshall D. Hestenes and Richard O. Hill Jr.
  • Explore texts that integrate geometry and trigonometry, such as precalculus books
  • Investigate other rigorous mathematics texts similar to Euclid's Elements
  • Look into reviews and discussions about trigonometry books on math forums
USEFUL FOR

Mathematics enthusiasts, educators, and students seeking a deeper understanding of trigonometry and geometry beyond standard curriculum offerings.

honestrosewater
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I'm looking for a trigonometry book that is rigorous, concise, insightful, etc. Something along the lines of Euclid's Elements, Spivak's Calculus, Rudin's Principles. I understand it's usually taught at the high school or college freshman level, but I'd like a book that someone who already knows and loves the subject might enjoy reading or teaching from. I've seen mathwonk call some calculus books "cookbooks"- I don't want a trigonometry cookbook, and that's all I've been able to find. A book covering geometry and trigonometry together would also be great- or even a precalculus book with a good trigonometry section.
BTW, I already searched PF for suggestions.
 
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Algebra and Trigonometry by Marshall D.Hestenes, Richard O. Hill Jr.
 
Thanks, I'll check it out.
 

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