Slicing bread, the lost labor of Hercules,
peeling an n-dimensional onion, and losing your marbles in hyperspace
This section is an extended application having several goals:
to remind you of some mathematics that you may have forgotten, to
show you some amusing mathematics that may be new to you, and
to illustrate that care is needed in using the computer to help
understand mathematical problems. After reviewing
multi-dimensional integration, you will see an easy way to
compute the volume of a hypersphere, and you will discover some
surprising properties of the geometry of Euclidean spaces of
high dimension.
The Math 696 course
pages were last modified April 5, 2005.
These pages are copyright
© 1995-2005 by Harold P.
Boas. All rights
reserved.
