Title: Lectures on Generating Functions (Student Mathematical Library, V. 23)
Publisher: American Mathematical Society (edition )
Publication Date: 2003
Language: English
ISBN 10: 0821834819
ISBN 13: 9780821834817
Binding: Paperback
Condition: Good

About this title

Synopsis

This book introduces readers to the language of generating functions, which nowadays, is the main language of enumerative combinatorics. The book starts with definitions, simple properties, and numerous examples of generating functions. It then discusses topics such as formal grammars, generating functions in several variables, partitions and decompositions, and the exclusion-inclusion principle. In the final chapter, the author describes applications to enumeration of trees, plane graphs, and graphs embedded in two-dimensional surfaces. <P>Throughout the book, the author motivates readers by giving interesting examples rather than general theories. It contains numerous exercises to help students master the material.

Review

"A crisp and sophisticated text ... More examples than general theory. Covers standard material, but digs deeper ... An enjoyable read for professionals." ---- MAA Monthly

"(This book) is driven by very, very interesting problems and examples." ---- MAA Reviews

"About this title" may belong to another edition of this title.

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