> > Do your students really learn about 500 or 800 pages long books to
> > exam? (We have usualy 4-5 exams in one semester.) Sorry if this
> > question is stupid .....
>
> Big +1 to that.  This is why the two books I've published (e.g., this

To be fair to the textbook authors in this case, much of this is
driven by marketing and/or students who are not optimally prepared for
calculus.  And this is not a slam on the students, either; rather, it
is (as far as I can tell) largely a cultural factor that "math is
hard, and hence must be made palatable" rather than "math is hard, but
no more so than any other worthwhile thing".  And of course the
visualization is very important for many people (faculty too!) so we
have good graphics, and many exercises, and so on, much of which can
be (*can* be) better than what a harried instructor has time to
concoct.

Although I personally enjoy the *good* examples; honestly, I think it
would be irresponsible to ask someone taking calculus as a pre-
physical-therapy student (which ours are required to, for good
biomechanical reasons) to learn from a definition-theorem book.  This
student needs to understand force/time curves, possibly dosing things,
and the concepts of calculus; a physics student needs that but also
tons of practical computation techniques, the math major needs at
least some proofs, the econ major needs marginal cost and
complementary commodities... and then marketing decisions are made to
try to sell one book for *all* these constituencies.

I do agree that there is often unnecessary window-dressing (such as
irrelevant 'historical connections' in one book I've used), but it's
an oversimplification to lay all the blame at its feet.  Perhaps
interactive free texts (or cheap ones; see the MAA's Moore/Smith 2nd
ed. textbook) are one way to get away from this.

- kcrisman

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