What are the best books for mastering PreCalculus?

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    Precalculus
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Discussion Overview

The discussion revolves around recommendations for books that are effective for mastering PreCalculus, including algebra, trigonometry, and foundational concepts necessary for calculus. Participants share their experiences and preferences regarding various texts.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses frustration at not finding previous threads on book recommendations for PreCalculus and seeks suggestions for effective study materials.
  • Another participant critiques the use of the term "best," suggesting that recommendations should depend on the reader's background (mathematicians, engineers, scientists) and the desired rigor of the material.
  • A participant mentions using a book by Michael Sullivan, indicating it is satisfactory for their school curriculum.
  • Another participant references a book, "Precalculus Mathematics in a Nutshell" by George F. Simmons, praising its concise coverage of essential topics in geometry, algebra, and trigonometry.
  • A different participant recommends "Essential Calculus with Applications" by Richard Silverman, noting its accessibility and the inclusion of hints and solutions, although it does not cover trigonometry.
  • Some participants highlight the varying levels of difficulty in problems presented in the recommended books, with some being easier and others more challenging.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single "best" book, with multiple recommendations and varying opinions on what constitutes an effective PreCalculus text based on individual needs and backgrounds.

Contextual Notes

Some participants mention that their recommendations are influenced by their educational context, such as school curricula or language of the texts, which may limit the applicability of their suggestions to others.

FancyNut
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I searched all possible keywords and went through the last 16 pages because I swear there was a thread where people listed good books for algebra/trig/precal but couldn't find it. Only threads for physics books (and calculus) recommendations.

So, any ideas on the good books? I'm planning to do a massive review over the next 4-5 weeks and solidify my foundation. Thanks in advance for any help. :smile:
 
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your title is too pretentious, you will never find a book which is the "best", instead you should ask for a book which is suited for:mathematicians/engineers/scientists (one of them), how much is it rigorous (if you need it to be rigorous) and so on.

the "best" is a relative term, and you need to specify your aim.

anyway, all of my precalc/high school books are in hebrew so i can't help you here.
 
My school uses the book by Michael Sullivan and I guess the book is alright. I am going to start studying it for the summer.
 
stewarts...the first few chapters are for people in high schoo...basically a review...or maybe its only based ont eh Canadian standard...not sure what americans learn.
 
"Precalculus Mathematics in a Nutshell" by George F. Simmons. I own a copy and it's great: everything you need to know about geometry, algebra, and trigonometry in 120 concise pages.
 
You can jump straight into Calculus with this since the first chapter covers everything you need to know to read the rest of the book:)

Essential Calculus with Applications by Richard Silverman

It comes hints or solutions to every single problem. It's very easy to read. The first chapter is basic pre-calculus material, but I guess it really depends on what you consider pre-calculus. It does not go into trigonometry though. If you work through all the examples, proofs of theorems, and exercises you will learn a lot! It's a small book so it isn't very intimidating either:)

Some of the problems are really easy and some are a little more challenging, the ones with *'s on them are the harder ones. Great book!

Here is a link
https://www.amazon.com/gp/product/0486660974/?tag=pfamazon01-20

You can get it used for like 4 dollars.

The book jma2001 listed looks really good too, and it covers trig and geometry. I would say get both!
 

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