Is Thomas Calculus the Best Book for High School Calculus Self-Study?

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SUMMARY

Thomas Calculus is highly recommended for high school students self-studying calculus due to its comprehensive coverage of theorems and detailed examples. It is widely used in Ivy League schools, alongside Stewart's calculus textbook. Users have reported significant success in AP Calculus exams, attributing their achievements to the thoroughness of Thomas Calculus. For those with limited access to resources, Lang's "A First Course in Calculus" is also suggested as a viable alternative.

PREREQUISITES
  • Understanding of precalculus concepts as covered in 'Carl Stitz' and 'Jeff Zeager'
  • Familiarity with calculus terminology and basic principles
  • Access to online educational resources, such as MIT OpenCourseWare
  • Ability to self-study effectively
NEXT STEPS
  • Research the content and structure of Thomas Calculus, 13th Edition
  • Explore MIT OCW course 18.01SC for supplemental learning
  • Compare Thomas Calculus with Stewart's Calculus to determine the best fit for personal learning style
  • Investigate Lang's "A First Course in Calculus" for alternative approaches to calculus
USEFUL FOR

High school students, self-learners in mathematics, and educators seeking effective calculus resources will benefit from this discussion.

Gurasees
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I am doing precalculus by 'Carl Stitz' and 'Jeff Zeager'. It's a pretty good book. Every tiny thing is touched and explained for a topic. I want a similar book for calculus for high school where every tiny detail is explained because i am learning calculus by myself.
 
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I think you are from India and probably have little access to books. And the books you have access to like Apostol and Piskunov are totally wrong. Probably the only one any good that I think you will have access to is Lang's "A First Course in Calculus", also called "Short Calculus". It will have all the detail you need.

If you have good internet, I would recommend the MIT OCW course 18.01SC which is meant for high schoolers.
 
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I would recommend Thomas Calculus. We used it in high school and it was comprehensive. It lists out all the theorems and examples are very detailed and thought-provoking. It is also used in half of the Ivy League schools (the other half use Stewart I believe). I was able to get a 5 on the BC exam largely due to using Thomas and exempt Calculus III using it as well. You can't go wrong with either Thomas or Stewart.

https://www.amazon.com/dp/0321588762/?tag=pfamazon01-20
 
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