4 ms·
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 tre
by Jonas4321 4y ago
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.
- nextos 4y agoI don't think this is a big concern. Hubbard discusses L'Hôpital and integration by parts, but it doesn't place a great deal of emphasis on them because the way topics are presented is a bit unusual. If this is a concern, you can always use another text. I don't think this is a problem. Some freshman courses jump straight into Hubbard.
- Jonas4321 4y agoI 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.