Do remember that problem-solving systemic magic is only one of many viable ways of doing magic.
Actually Sanderson addresses this very thoroughly (just about everything he writes is thorough though) in his explanation of his "First Law of magic"
http://www.brandonsanderson.com/article/40/Sandersons-First-LawP.S. Sanderson is now a big time up and coming fantacy author (he was noticed by Robert Jordan's widow for his Mistborn Series and she tapped him to be the Wheel of Time ghost writer) who is well known for his ability to craft very origonal, intricate, and inventive systems of magic.
Elantris and
Mistborn were absolutely amaising, I liked the magic system in Warbreaker too, but had a few issues with the plot. He did an amaising job of breathing new life and vibrance into the Wheel of Time, but I am holding off on reading his "Stormlight Archive" project because I am hesitant to start reading another epic epic fantacy series that requires that I yet again wait a year between each installment. The Wheel of Time kinda burned me out on that, although I am glad my coworker suckered me into the Dresdenverse