APU stands for <u>A</u>lgebraic <u>P</u>rogramming <u>U</u>tilities. 
APU is a collection of C++ data structures and routines for solving
problems involving systems of polynomial equations. Problems APU can
be used to solve include: 
<UL> 
<LI> Counting the total number of roots of a system of polynomial equations. 
<LI> Counting the number of real roots of a system of polynomial equations. 
<LI> Enumerating the solutions to a system of polynomial equations. 
<LI> Computing resultants, polynomial remainder sequences etc. 
<LI> Using straight-line programs (SLP's) to represent computations, 
allow lazy evaluation, interpolation etc. 
</UL> 
<P>
APU can be used as a stand-alone platform to develop applications or
can be used within existing computer algebra systems such as Maple.