Generating functions

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Generating functions are often used in combinatorics as a formal way of expressing certain integer-valued sequences. For a comprehensive discussion of the topic, see Wilf's book, "generatingfunctionology." The second edition of this book is available for free online as a PDF download from this link.

Mathematical maturity[edit]

The reader probably wants a strong mathematical background in calculus, and should have an understanding of abstract algebra and some analysis (for when convergence issues do arise).