
Re: The Unapologetic Mathematician: More math education
Posted:
Mar 3, 2008 2:01 PM


Adrian wrote (in part):
http://mathforum.org/kb/message.jspa?messageID=6122771
> On the other hand, Spivak seems to cover next > to nothing compared to most Calculus texts when > it comes to topics. It doesn't look like there > is any multivariable calculus in it, for instance. > (That must be why people favor other texts like > Apostol. Personally, I would rather have Spivak > based on my limited experience with the two.)
Apostol's volume 1 is singlevariable and his volume 2 is multivariable. Spivak's text was intended to be for a 2semester singlevariable calculus sequence at the honors level, not for the entire elementary calculus sequence.
I liked your analysis of the texts, by the way. Although I probably don't agree with everything you said (or maybe I do, I don't know; but that's not what I want to discuss now), it's nice to see someone in here actually discuss the content of a text rather than just say it's bad or it's good.
I may write more later, but for now I'll say that my favorite "honors level" onevariable calculus texts are:
#1. Spivak's calculus text.
#2. Ricahrd Courant and Fritz John, "Introduction to Calculus and Analysis", volume 1.
#3. Richard Courant and Herbert Robbins, "What is Mathematics?", second half of the book.
#4. Apostol's calculus text, volume 1.
Dave L. Renfro

