Lectures on generating functions

Ch. 1. Formal Power Series and Generating Functions. Operations with Formal Power Series, Elementary Generating Functions

Ch. 2. Generating Functions for Well-Known Sequences

Ch. 3. Unambiguous Formal Grammars. The Lagrange Theorem

Ch. 4. Analytic Properties of Functions Represented as Power Series and the Asymptotics of their Coefficients

Ch. 5. Generating Functions of Several Variables

Ch. 6. Partitions and Decompositions

Ch. 7. Dirichlet Generating Functions and the Inclusion-Exclusion Principle

Ch. 8. Enumeration of Embedded Graphs.