Subject: Re: gabriel's horn
From: George Dorner (gdorner@harper.cc.il.us)
Date: Mon Feb 28 2000 - 10:54:27 EST
I taught improper integrals recently in my Calc II class. Gabriel's Horn is
discussed briefly on p. 539 of Larson, Hostetler, and Edwards. There is also a
reference to "Supersolids: Solids Having Finite Volume and Infinite Surfaces"
by William P; Love, Mathematics Teacher, January 1989.
Seems to me that this is an example where your intuition based on a finite
world fails to enlighten you about an infinite (mathematical) world. That's
the point and to "explain" it seems doomed to lapse into mysticism.
geo d
****************************************************************************
* To post to the list: email mathedcc@archives.math.utk.edu *
* To unsubscribe, send mail to: mathedcc-unsubscribe@archives.math.utk.edu *
* Archives at http://archives.math.utk.edu/hypermail/mathedcc/ *
****************************************************************************
This archive was generated by hypermail 2b28 : Mon Feb 28 2000 - 11:47:09 EST