Wikipedia [suggests](http://en.wikipedia.org/wiki/Global_optimization) that:

"**Methods based on real algebraic geometry**" are some of the "**most successful general strategies**" for solving global optimization problems.

Could someone suggest an reference for learning about how algebraic geometry can be used to solve optimization problems? Preferably one that doesn't assume advanced knowledge beyond that of ye average graduate with a Math degree.

Of course, if someone would like to add a short explanation of their own as to why and how this method is used, they are more than welcome.