Generating functions

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

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).

Topics

Introduction to generating functions
Calculus of generating functions

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