Re: What calculus text should I cite for l'Hopital's Rule?

Anon wrote, in part, to answer the OP's question:

You'll have to be the judge of what "level" calc book reference will
be useful to your "non-mathematicians".  Here's a short list of some
widely known books:


[snip]

o Introduction to Calculus and Analysis, Volume 1
by Richard Courant, Fritz John
[classic, outstanding work, but i am biased on this one ... there is a
two book volume 2 that covers additional material] 

Yep, Courant and John is a good one.

o Calculus, Vol. 1: One-Variable Calculus with an Introduction to
Linear Algebra
by Tom M. Apostol
[rigorous and complete, many math students know this one ... there is
a volume 2 on Multi-Variable Calculus and more]

Caltech and MIT students especially know Apostol's book. It is very good, and unusual in starting with integral calculus rather than differential calculus (that is, in following the historical order of the development of the subject).

There are many 'popular' books in the "Calculus for Dummies" category
(check your local bookstores).  There are several that are widely used
in AP high school and college courses (by authors like Spivak, or
Stewart, etc.).  If you need more, I could add to the list.

I fear the OP could be confused by this paragraph into thinking that Spivak's book, which is perhaps the one book most often recommended by mathematicians, is in the same category as Stewart's, which is often decried by mathematicians. Spivak's book

http://www.amazon.com/exec/obidos/tg/detail/-/0914098896/

is excellent and is one of the most delightful books about mathematics I own. It is in the same category (or possibly a HIGHER category) than Apostol's excellent book.

You can check any of these out to some extent at Amazon.com.
Hopefully others that follow this group will post their opinions.

Going back to the OP's question, which seems to be an effort to find a succinct statement of L'Hopital's rule and a reference to it to include in a publication's bibliography, maybe MathWorld is enough.

http://mathworld.wolfram.com/LHospitalsRule.html

Most MathWorld entries have a "cite this as" form at the bottom of the Web page.


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