Book Recommendations: Algebra, Geometry, Trigonometry & Calculus

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SUMMARY

This discussion focuses on book recommendations for Algebra, Geometry, Trigonometry, and Calculus. For a classical reference in Algebra, "Basic Mathematics" by Serge Lang is suggested, although it has received mixed reviews. "Principles of Mathematics" by Allendoerfer & Oakey is recommended as a quick study material. For Trigonometry, the "Gelfand high school mathematics collection: Trigonometry" by Gelfand and Saul is highlighted as both challenging and rewarding. The discussion emphasizes the importance of selecting influential texts for foundational mathematics.

PREREQUISITES
  • Familiarity with basic mathematical concepts
  • Understanding of algebraic principles
  • Knowledge of geometric fundamentals
  • Basic comprehension of trigonometric functions
NEXT STEPS
  • Research "Basic Mathematics" by Serge Lang for foundational concepts
  • Explore "Principles of Mathematics" by Allendoerfer & Oakey for quick study
  • Investigate the "Gelfand high school mathematics collection" for advanced topics
  • Review additional resources on Calculus for comprehensive understanding
USEFUL FOR

Students, educators, and self-learners seeking to strengthen their understanding of foundational mathematics, particularly in Algebra, Geometry, Trigonometry, and Calculus.

jaja1990
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Hi,

I need two book recommendations for each of the following, one classical (i.e. covers the subject in detail, more like a reference, and influential if such book exists) and one as a quick study material.

The topics:-

1) Algebra
2) Geometry
3) Trigonometry
4) Calculus

Thanks.
 
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For Precalculus (that is, the stuff before Calculus):
One recommendation that I've seen here is Basic Mathematics by Serge Lang (ignore the book cover graphic - it's wrong), which would cover the basics of algebra, geometry and trigonometry. (However, I've also read of one dissenting opinion about this book.)

Another recommendation I've read about here is Principles of Mathematics by Allendoerfer & Oakey.
 
A series I really liked is the Gelfand high school mathematics collection: Algebra by Gelfand and Shen, Trigonometry by gelfand and Saul. They're challenging and rewarding books, you can't go wrong at the price they're at.
 

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