An in-depth, mathematical look at PageRank

http://www.cs.northwestern.edu/~kao/eecs328-numerical-methods/The_Sleekest_Link_Algorithm_by_Higham_and_Taylor.pdf

This paper explains pagerank in great detail. It focuses on the mathematical aspects of the algorithm as well as a way to implement it so each rank can be calculated quickly. The most interesting part for me was the fact pagerank can be used not only for websites, but any system where there is an underlying, connected structure.