A K Peters, 2006. - 245 p.
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in.
* Combinatorics.
* Probability Theory.
* Statistics.
* Theory of Markov Chains.
* Number Theory.
One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user.