Lectures on Generating Functions - Couverture souple

American Mathematical Society

Couverture souple

ISBN 10 : 0821834819 ISBN 13 : 9780821834817

Editeur : American Mathematical Society, 2003

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. 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.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2003
• Langue: anglais
• ISBN 10: 0821834819
• ISBN 13: 9780821834817
• Reliure: Broché
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible