Since I have taken single variable calculus, proof based linear algebra and proof courses before multivariable calculus, I am used to some proof writing. Since I have taken about a year off due to personal reasons, I have decided to do some studying in multivariable calculus.
However I have noticed that at the chapter $0$ of the book, author discusses the concept of uniform convergence. Since I haven't taken undergraduate real analysis before, I am worried about more of these concepts being in this book.
Would it be fine to use the book or should I choose different one if I am an absolute beginner to multivariable calculus?
Or if single variable analysis is needed, would it be possible to study these two subjects concurrently?
Thanks in advance.
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