In the past thirty years or so, combinatorics and finite mathematics have become ever more prominent players in our discipline. Collaboration graphs, Google search algorithms, queueing theory, random graphs, Internet routing, and coloring problems are just some of the hot topics of which we are all aware. There are many more, and these are all showcased in the articles of the present issue of the Notices. M. C. Escher's art is well known to be mathematically inspired, and surely some of that inspiration is combinatorial. We believe that this material combines to make an inspiring and informative issue.
--Steven G. Krantz, Editor