On Feb 15, 2010, at 5:40 AM, kcrisman wrote:
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 agree--as much as I like the definition-theorem format too, there is a definite bias in learning styles in this community ;). In my experience, math majors, let alone potential graduate students, are a small minority in Calculus classes (and most of those who would eat up a more rigorous approach will have probably tested out of first-year calculus anyways).
Despite that, $200+ 1200 page textbooks are overkill, and once free alternatives start becoming popular they'll have trouble justifying it.
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