Outflanking is the process of obtaining the opposition. It is usefull especially in K&P endings were you may have to calculate long series of moves to obtain the opposition and break through. You also have to understand outflanking well to learn more advanced concepts like triangulation
http://en.wikipedia.org/wiki/Triangulation_%28chess%29
I hate using wikipedia but it's usefull here for a couple of quick basic examples
This page shows multiple examples of triangulation which without a solid base of outflanking and the opposition would be hard to understand or replicate on the board.
I am reading "Reasess your Chess" by Jeremy Silman. The first chapter is on basic endgames , and disscusses the concepts "opposition" and "outflanking" I understand the importance of opposition, but fail to grasp the importance of "outflanking" ..'I am having a problem ofunderstanding how to implement it--it, and even if I do- of what pratical use is it.