Combinatorial Counting (Volume 1 English Edition)

Author: (USA) Stanley
Publisher:
Publish Date: 2004-11-01
Features: This book focuses on the theory and applications of generating functions, which are fundamental tools in enumerative combinatorics. It is divided into four chapters covering enumeration, sieve methods, partially ordered sets, and rational generating functions, and provides introductory knowledge on many mathematical fields not included in the main text. The selected material covers the most widely applicable and closely connected parts of enumerative combinatorics with other mathematical fields. Additionally, the book includes numerous exercises, with solutions provided for almost all of them, making it helpful for teaching. This book is the first volume of the two-volume introduction to the fundamentals of enumerative combinatorics, suitable for graduate students and mathematical researchers.