1. What is enumerative combinatorics?; 2. Sieve methods; 3. Partially ordered sets; 4. Rational generating functions.
This thoroughly revised second edition of Volume 1 includes ten new sections and more than 300 new exercises.
Richard P. Stanley is a Professor of Applied Mathematics at the Massachusetts Institute of Technology. He is universally recognized as a leading expert in the field of combinatorics and its applications to a variety of other mathematical disciplines. In addition to the seminal two-volume book Enumerative Combinatorics, he is the author of Combinatorics and Commutative Algebra (1983) as well as more than 100 research articles in mathematics. Among Stanley's many distinctions are membership in the National Academy of Sciences (elected in 1995), the 2001 Leroy P. Steele Prize for mathematical exposition and the 2003 Schock Prize.
'... sure to become a standard as an introductory graduate text in
combinatorics.' Bulletin of the American Mathematical Society
'... will engage from start to finish the attention of any mathematician who will open it at page one.' Gian-Carlo Rota