What are some recommended readings for precalculus and lower level calculus?

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Discussion Overview

The discussion revolves around recommendations for readings in precalculus and lower level calculus. Participants share their experiences and suggest various texts that they believe would be beneficial for someone looking to strengthen their mathematical foundation before advancing to calculus.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses a desire to cover precalculus topics and lower level calculus, mentioning a lack of substantial learning in previous math courses.
  • Another participant recommends a series from Dover that has been useful for learning differential calculus and other advanced topics.
  • A different participant mentions a recent precalculus book by Axler, noting a personal dislike for the author's style but acknowledging the book's quality.
  • There is a discussion about the specific texts being referenced, with participants sharing links to potential books.
  • One participant appreciates the standard calculus book by Leithold, highlighting its clarity and thoroughness in explanations and proofs.

Areas of Agreement / Disagreement

Participants share various recommendations, but there is no consensus on a single best text. Some express personal preferences and critiques of certain styles, indicating differing opinions on what makes a good mathematics book.

Contextual Notes

Participants' recommendations are based on personal experiences and preferences, which may not universally apply. Individual tastes in writing style and pedagogical approach are noted as factors influencing their suggestions.

Who May Find This Useful

This discussion may be useful for students seeking to strengthen their understanding of precalculus and calculus, as well as educators looking for diverse teaching materials.

Poisonous
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Hi all, I'm a graduating senior and I'm interested in covering and recovering mathematics to the calculus level. I've been feeling that all of my math courses to this point, high school and before, haven't really taught me much of anything in the way of real mathematics. I was looking for some recommended reading that would cover precalculus topics, such as algebra and trig, and some lower level calculus.

I've heard good things about Gelfand's Trigonometry and perhaps Algebra as well, but not much outside of that. Any help?
 
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There's a good series (Dover, I think) that produces a "teach yourself ..."

I used it for Differential Calculus (exclusively, never took a "real" course) and it's held up through the full Calculus sequence, Diff Eq, Linear Algebra, and all my physics courses.

I'd recommend it, definitely.
 
There's a precalculus book that came out recently, by Axler. I don't like his style, but I was impressed with the book.
 
Poisonous said:
Unknot:

Is this the text? https://www.amazon.com/dp/0471614432/?tag=pfamazon01-20

What didn't you like about the style?

It's something very personal, how he bashes determinants and how he explains the concepts. But he's a good writer. You shouldn't be concerned about my taste, it's unlikely that you will feel the same thing.
 
Good, i'll look into it. Any others?
 
leithold... the calculus 7.
pretty much the standard calculus book. explains things so well without losing the proofs and such.
 

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