As a high school student who wishes to become a number theorist, which multivariable calculus text should I follow? I have a pretty good understanding of single-variable calculus (From MIT OCW and few other online courses) and elementary number theory (from David.M.Burton's Elementary Number Theory).
2026-04-08 08:10:01.1775635801
Reference Request: Multivariable Calculus text
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I am actually someone in the same position, and I would like to say that I myself found MIT OCW inadequate while talking about single variable calculus. I would recommend you the following books for brushing up on them:
1) Calculus, by Michael Spivak: Quite hard, but will be really helpful. I believe that this is the standard Calulus text.
2) Thomas' Calculus: Try the old editions if possible. The new editions are a little too friendly.
For multivariable calculus, I found Multivariable Calculus with Vectors by Hartley Rogers Jr quite useful, though I have to say that it gets fairly advanced quickly.
I guess you would also be interested in proof writing, so you can check up books on that as well. You can try How to Prove it, by Velleman. I haven't used it myself, but a friend told me that it was a great book.