Essential Books for Algebra, Pre-Calc & Trigonometry Learning for Kids

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SUMMARY

This discussion focuses on recommended books for children learning Algebra, Pre-Calculus, and Trigonometry. Key suggestions include "Basic Mathematics" by Serge Lang, "Algebra" and "Trigonometry" by I. M. Gelfand, and Barron's series such as "Algebra the Easy Way" and "Trigonometry the Easy Way" by Douglas Downing. For those progressing to Calculus, "Calculus Made Easy" by Silvanus Thompson and Thomas Calculus are also recommended. The conversation emphasizes the importance of selecting age-appropriate materials to ensure effective learning.

PREREQUISITES
  • Understanding of basic algebra concepts
  • Familiarity with geometry and functions
  • Knowledge of introductory calculus principles
  • Ability to discern age-appropriate educational materials
NEXT STEPS
  • Research "Basic Mathematics" by Serge Lang for foundational skills
  • Explore "Algebra" and "Trigonometry" by I. M. Gelfand for advanced topics
  • Investigate Barron's series on Algebra and Trigonometry for beginner-friendly approaches
  • Study "Calculus Made Easy" by Silvanus Thompson for intuitive calculus understanding
USEFUL FOR

Parents, educators, and tutors seeking effective resources for teaching Algebra, Pre-Calculus, and Trigonometry to children. This discussion is particularly beneficial for those looking for age-appropriate and engaging educational materials.

Viktoriooo
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Hi, I am new to this forum and i was wondering which books is good to Get a better understanding/learning Algebra, pre-calc and trigonometry for a kid who knows some algebra geometry and functions?
 
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I don't any books for geometry or trignometry, but for calculus you can try Thomas calculus. It is a really heavy, but good book for beginners in calculus, real analysis and functions.
For algebra my lecturer suggested me Topics in algebra by I. N. Herstein. You might give it a try.
 
Abhilash H N said:
For algebra my lecturer suggested me Topics in algebra by I. N. Herstein. You might give it a try.

Really?? You're suggesting an abstract algebra book to a kid who is asking for books in algebra and precalculus? Sigh.

Please don't listen to the above advice. A good book that I recommend is "basic mathematics" by Lang. Other good books are written by Gelfand. For example, you have "Algebra" and "Trigonometry" by Gelfand. (Do be careful, Gelfand has written very advanced texts too, so be careful what you use).
 
To get a general understanding of these subjects, I would suggest that you start with the Barron's books Algebra the Easy Way, Trigonometry the Easy Way, and Calculus the Easy Way, all by Douglas Downing (I think they may have been renamed as E-Z Algebra, E-Z trig, etc.). They present these topics in the form of a story.

Then, once you've gotten the flavor of these subjects, you can dive into proper textbooks, like the ones micromass suggested.
 
Books you can consult

What is Mathematics.

Basic Mathematics by Serge Lang.

Calculus Made Easy by Tompson.

Princeton Companion to Mathematics.

and If you are Planning to write AP then Thomas / James Stewart Calculus.
 
I second the recommendation for Calculus Made Easy by Silvanus Thompson. It introduces you to calculus in a really intuitive way.
 

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