Type: BOOK - Published: 2005-12-20 - Publisher: CRC Press
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
This new edition includes several new areas of application, including the cycle index of the symmetric group, permutations, and square roots, counting polyminoes, and exact covering sequences. An appendix on using Maple and Mathematica to generate applications is also included. Includes exercises and solutions at the end of each chapter.