| MAT 270 Calculus with Analytic Geometry I |
Fall 2003 |
Course Information Announcements Assignments Links |
"If
a nonnegative quantity was so small that it is smaller than any given
one,
then it certainly could not be anything but zero. To those who ask what
the
infinitely small quantity in mathematics is, we answer that it is
actually zero. Hence there are not so many mysteries hidden in this
concept as they are usually believed to be. These supposed mysteries
have rendered the calculus of the infinitely small quite suspect to
many people. Those doubts that remain
we shall thoroughly remove in the following pages, where we shall
explain
this calculus." -- Leonhard Euler |