Calculus Revisiting Single-Variable Calculus after Multi-

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Strengthening knowledge in Calculus after completing a Multivariable Calculus course is a focus for a student entering high school. Having achieved a score of 5 on the AP Calculus BC Exam and taken courses through the Johns Hopkins Center for Talented Youth using Stewart's textbooks, the student seeks a more rigorous, proof-oriented approach to revisiting calculus topics. Recommendations include studying texts by Spivak, Apostol, and Courant, with Apostol noted as particularly accessible. Additionally, if the student finds "Linear Algebra Done Right" manageable, they are encouraged to explore "Understanding Analysis" by Abbott as a solid introduction to analysis. For further study, "Multivariable Analysis" by Hubbard and Hubbard is suggested after mastering the earlier material.
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Hello all! I was thinking about strengthening my knowledge of Calculus after I finish the course I am taking in Multivariable Calculus. I am in a particularly unique situation, as I am only going to enter high school next year.

I took the AP Calculus BC Exam last year and got a 5. The course I took was through John Hopkins Center for Talented Youth, and the textbook was Stewart. I also used Stewart for Multi, but I would love to revisit all of the topics in a more rigorous and proof-focused manner.

I have heard many good things about Spivak and Apostol, but I am open to other possibilities as well. I have recently been reading Linear Algebra Done Right by Axel after watching Gil Strang's 18.06 lectures, and am finding the proofs very enlightening. What would you recommend for my situation? I eagerly await all responses!
 
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Maybe try either Apostol/Courant/Spivak? Out of these, I find Apostol easier to read.

However, you can start learning Analysis if you find Linear Algebra Done Right readable. A good intro is Understanding Analysis by Abbot.

Once you get up the section before the generalized Reiman Integral (or you can cover it too), have a look at the multivariable Analysis book by Hubbard and Hubbard.
 
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