Jonas4321

I disagree. L'Hôpital's rule is not discussed, it is simply presented without proof. And I think it's very important to carefully construct logarithms, exponentials and trigonometric functions, e.g. through power series - else the properties of these functions are just arbitrary axioms. Don't Hubbard and Hubbard claim themselves that the reader should be familiar with power series (somewhere in the chapter on Taylor series)?

Don't get me wrong, I really like the book, but I don't believe it replaces a book on single-variable calculus. I think the authors would agree.

Meh, Hubbard and Hubbard is good, but it certainly does not take you through single-variable calculus. For example, the following topics are assumed and not treated in any detail:

- power series and analytic functions

- the various properties of exponentials, logarithms, trigonometric functions, etc.

- L'Hopital's rule

- Integration by parts

You should definitely work through something like Spivak or Tao in addition to Hubbard.