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Re: The Unapologetic Mathematician: More math education
Posted:
Mar 3, 2008 2:01 PM
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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 single-variable and his
volume 2 is multi-variable. Spivak's text was
intended to be for a 2-semester single-variable
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" one-variable 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
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