Simple Explanation of PageRank and its mathematics needed

Hello Good people,i am student who is interested in developing a search engine that indexes pages from my country.I have been doing my research on Algorithm to use for sometime now and i have found HITS and PageRank as the best out there.I have choosing to go with PageRank since it is more stable than the HITS Algorithm(so i read).

I have found countless articles and university researches about PageRank but my problem is that i do not understand most of the mathematical symbols that form the algorithm in this papers.Currently,i cannot understand how the Google Matrix(the irreducible,stochastic matrix) was calculated with the algorithm,i do not seem to understand the Algorithm used.

I did my reading from the articles below:

http://online.redwoods.cc.ca.us/inst...al2-Screen.pdf
http://ilpubs.stanford.edu:8090/386/1/1999-31.pdf

Please i need you to help me go through it,i need a basic explanation(examples will be nice) with less mathematical symbols.

Thanks in advance.