What do the power series at top have to do with the equations at bottom? McIlRoy of Unix pipe fame has a wonderful exposition on programming with power series.

What do the power series at top have to do with the equations at bottom? McIlRoy of Unix pipe fame has a wonderful exposition on programming with power series. http://www.cs.dartmouth.edu/~doug/powser.html http://www.cs.dartmouth.edu/~doug/powser.html