Two of the most influential and comprehensive schools of economic thought, the Austrian and Chicago Schools have much in common, especially in their opposition to Keynesianism. But, as Robert P. Murphy explains in his Mises.org article, the two schools have significant differences as well.

(Mises.org) Although it’s true that Austrians agree with Chicago economists on many policy issues, nevertheless their approach to economic science can be quite different.

The article is an excellent introduction to both schools and economics in general:

http://mises.org/daily/5390/The-Chicago-School-versus-the-Austrian-School