Enumerative Combinatorics

Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background including basic counting principles and techniques elementary enumerative topics and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics including Stirling numbers partitions of integers partition polynomials Eulerian numbers and Polya's counting theorem. Extensively classroom tested this text was designed for introductory- and intermediate-level courses in enumerative combinatorics but the far-reaching applications of the subject also make the book useful to those in operational research the physical and social science and anyone who uses combinatorial methods. Remarks discussions tables and numerous examples support the text and a wealth of exercises-with hints and answers provided in an appendix-further illustrate the subject's concepts theorems and applications.