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

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SUMMARY

This discussion focuses on recommended readings for precalculus and lower-level calculus, highlighting key texts such as Gelfand's "Trigonometry" and "Algebra," as well as Axler's recent precalculus book. Participants endorse the Dover series for self-study, particularly for Differential Calculus, which has proven effective for a full calculus sequence, including Differential Equations and Linear Algebra. Leithold's "Calculus" is also mentioned as a standard text that effectively balances explanations and proofs.

PREREQUISITES
  • Understanding of basic algebra concepts
  • Familiarity with trigonometric functions
  • Knowledge of introductory calculus principles
  • Ability to engage with mathematical proofs
NEXT STEPS
  • Explore Gelfand's "Trigonometry" and "Algebra" for foundational concepts
  • Read Axler's precalculus book for a modern approach to the subject
  • Investigate Leithold's "Calculus" for comprehensive coverage of calculus topics
  • Review the Dover Publications series for additional self-study resources
USEFUL FOR

Students transitioning to calculus, educators seeking effective teaching materials, and self-learners aiming to strengthen their mathematical foundation.

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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