Best Pre-Calculus Book for Summer Review: Expert Recommendations

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Discussion Overview

The discussion revolves around recommendations for pre-calculus books suitable for summer review. Participants share various resources and opinions on the effectiveness of different texts and online materials, addressing the challenges of preparing for calculus.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants express skepticism about the existence of a true pre-calculus subject, suggesting it often serves to reinforce algebra skills rather than introduce new concepts.
  • One participant recommends a specific book, citing its quality despite the lack of consensus on its effectiveness.
  • Another participant advocates for Khan Academy as a comprehensive resource for mastering pre-calculus material, although they note weaknesses in the trigonometry section.
  • Several participants suggest various textbooks, including Axler's book, Larson and Hostetler's "College Algebra," and Allendorfer & Oakley's "Principles of Mathematics," highlighting their strengths in clarity and comprehensiveness.
  • One participant mentions the availability of free pre-calculus resources from university professors, emphasizing the importance of practice problems.

Areas of Agreement / Disagreement

Participants present multiple competing views on the best resources for pre-calculus review, with no clear consensus on a single recommended book or approach.

Contextual Notes

Some participants highlight the variability in personal experiences with pre-calculus courses and materials, indicating that effectiveness may depend on individual learning styles and prior knowledge.

Brown399
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Hey, i know this is the science section but it's a brief question. Actually, the title contains it all =p

I'm looking for a good pre-calculus book to brush up on stuff this summer.
 
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I don't think such a thing exists. Precalculus is not actually a subject; it is typically a class that attempts to remedy those who need to brush up on algebra skills. I only found about 50% of the material in the precalculus course I took helpful, and just about all of it was actual calculus.
 
www.khanacademy.org If you master all of the material on this site and get some of the practice sheets for reviewing pre-calculus (i.e. from some calculus websites) you'll pretty much be 100% ready for calculus. I used this website last year and in less than a month I was almost ready for calculus after knowing virtually no math. The trigonometry section is weak, but everything else is pre-cal at it's most intuitive. Shouldn't slip out of memory & if it does just re-watch the videos.
Check out the reviews for the site on physicsforums, Most people recognise how amazing a source this is.
Btw, there are dozens and dozens of free pre-calculus books offered by university professors on websites ala google.
http://tutorial.math.lamar.edu/Classes/Alg/Alg.aspx
This source is great, has a lot of everything but there are only examples and no questions for you to practice on.
I never copped on to the fact that he has practice tests on the website though :p so they would be very advisable too.
(Notice I am stressing the fact that you need to practice the problems, but in all honesty you shouldn't spend too long on this material if you work hard and don't lose the forest from the trees).
 
I am going to commit a cardinal sin and suggest a book I have not read:
https://www.amazon.com/dp/0470416742/?tag=pfamazon01-20
I recommend it because:
1) I read Axler's linear algebra book and I think it is amazing (the review says this book is very good too).
2) It seems to cover everything you need, strarting from the basics.
3) It claims to be a refresher, as you want.
4) It is rigorously written.
5) You can get a cheap copy, for sch a comprehensive book
 
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Thank you all for your responses. Going to go with Axler. Hope i can find a used paperback copy =p looks like a good book
 
Brown399 said:
Hey, i know this is the science section but it's a brief question. Actually, the title contains it all =p

I'm looking for a good pre-calculus book to brush up on stuff this summer.

I prefer College Algebra, by Larson and Hostetler. https://www.amazon.com/dp/0618643109/?tag=pfamazon01-20

This book is very easy to follow, has a wide variety of examples, and gives solutions from an analytic as well as geometric perspective. It also has good notes for each step of working through a problem.
 
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The texts written by would serve you well. In particular his Algebra, Trigonometry, and Functions and Graphs books. Plus, they are relatively cheap.
 
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  • #10
Allendorfer & Oakley's "Principles of Mathematics" is the book I'd recommend. It'll teach you essentially everything you'd need to know before calculus, and covers a bit of calc near the end of the book. Some of the terminology is a bit odd, but other than that's it's a great book.

Also, most copies I've seen for sale are only a few dollars. I picked mine up for $1.99.
 

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