Hi all-
I have just posted a short paper on the Los Alamos e-print
archives that may be of interest to some of you:
math.GM/0010065 [abs, src, ps, other] :
Title: Introductory Calculus from the Viewpoint of Non-Standard
Analysis - Derivative of Sine and
Cosine
Authors: Jack L. Uretsky
Comments: LaTeX; 19 pp, 6 figs
Subj-class: General Mathematics
MSC-class: 00-01; 97-01
This article exemplifies a novel approach to the teaching of
introductory differential calculus using
the modern notion of ``infinitesimal'' as opposed to the traditional
approach using the notion of
``limit''. I illustrate the power of the new approach with a
discussion of the derivatives of the sine
and cosine functions. (45kb)
Regards,
Jack
Adam was by constitution and proclivity a scientist; I was the same, and
we loved to call ourselves by that great name...Our first memorable
scientific discovery was the law that water and like fluids run downhill,
not up.
Mark Twain, <Extract from Eve's Autobiography>