A good calculus book for physics

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SUMMARY

The discussion centers on recommendations for calculus books tailored for an advanced 8th grader interested in physics. Participants suggest starting with "Schaum's Outline of Calculus" for its affordability and abundance of worked examples. For future studies, they recommend "Thomas' Calculus" (3rd edition) and "Stewart Calculus" as complementary texts. Additionally, they advise reviewing pre-calculus materials, specifically mentioning "Basic Mathematics" by Serge Lang and "Precalculus" by Axler to solidify foundational knowledge before advancing to calculus.

PREREQUISITES
  • Understanding of precalculus concepts
  • Familiarity with physics fundamentals
  • Basic mathematical skills, including algebra and geometry
  • Access to academic libraries for additional resources
NEXT STEPS
  • Research "Schaum's Outline of Calculus" for introductory calculus concepts
  • Explore "Thomas' Calculus" (3rd edition) for advanced calculus techniques
  • Study "Basic Mathematics" by Serge Lang to reinforce precalculus knowledge
  • Investigate "Stewart Calculus" for comprehensive calculus coverage
USEFUL FOR

This discussion is beneficial for advanced middle school students, high school students preparing for STEM fields, and educators seeking effective calculus resources to support physics studies.

a curious girl
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I am an advanced 8th grader and I'm very interested in physics. However, I want to study calculus first (I know precaculus, but I will study it a bit further before beginning calculus). Does anyone have recommendations for good, interesting calculus books if my main goal in studying it now (as opposed to learning it in school) is to enable me to study physics?
For physics, I intend to use Fundamentals of Physics by Halliday, Resnick and Walkers.
I appreciate any suggestions, as well as explanation about the book and about why it's good for my purpose.
Thanks!
 
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Welcome to the forum.

For you I suggest a Schaum's Outline as your first book.

https://www.amazon.com/dp/0071795537/?tag=pfamazon01-20

Cheap. Lots of worked examples.

If that's too easy then just hunt around in your school's library. Or your local high school's library. Or at your local college's library if you are that advanced. Find a book that is at your level. Then try to find a used copy for cheap. The text you use at this level is not going to be on your desk for ever. So try to get it cheap.

Later you will want a handbook. When you get to that stage you will want something like this.

https://www.amazon.com/dp/0486411478/?tag=pfamazon01-20

If you go into any STEM area you will probably want something like that on your desk. But that's probably a few years away.
 
Thomas Calculus 3rd ed with analytical geometry and an old version of Stewart Calculus. Both books complement each other nicely.

If you had geometry, a good course using a book, say, Jacobs Geometry, then you may want to do Kisselev. I am a little concerned that you are in the 8th grade and you already "know pre-calculus". I suggest you study pre-calculus by Axler or Serge Lang: Basic Mathematics first.
 

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