This is what Maple was actually designed to do: symbolic mathematics. We have already seen some of its ability to do this as we have taken derivatives, integrated, and solved differential equations. I have placed this material in the last chapter because it's almost an art form and you need to be pretty comfortable with Maple before you tackle it. You can use this chapter as a source for what to try when Maple gives you answers that are correct, but not in the form you want. It may take many months to get good at this, but it is worth the effort because Maple will not make minus sign mistakes or lose factors of 2. The trick, however, is to coax it to combine precision with a sense of style and good taste. This is done via a partnership: Maple supplies the precision; you supply the style and taste.