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generatingfunctionology book by Herbert S. Wilf in topic ~ 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 .

generatingfunctionology - University of Pennsylvania ~ Preface to the Second Edition This edition contains several new areas of application, in chapter 4, many new problems and solutions, a number of improvements in the pre-sentation, and corrections. It also contains an Appendix that describes some of the features of computer algebra programs that are of particular

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