Further Details
Title: Lectures on Generating Functions Condition: New Format: Paperback EAN: 9780821834817 ISBN: 9780821834817 Publisher: American Mathematical Society Genre: Science Nature & Math Release Date: 30/10/2003 Description: 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. 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. The only prerequisite is a standard calculus course. The book is an excellent text for a one-semester undergraduate course in combinatorics. Language: English Country/Region of Manufacture: US Item Weight: 208g Book Series: Student Mathematical Library Author: No Author Release Year: 2003
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