Enumerative Combinatorics: Volume 1 - Couverture souple

Stanley, Richard P.

Couverture souple

ISBN 10 : 0521663512 ISBN 13 : 9780521663519

Editeur : Cambridge University Press, 1996

Synopsis

This book is the first of a two-volume basic introduction to enumerative combinatorics at a level suitable for graduate students and research mathematicians. It concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. The book covers those parts of enumerative combinatorics of greatest applicability to other areas of mathematics. The four chapters are devoted to an introduction to enumeration (suitable for advanced undergraduates), sieve methods (including the Principle of Inclusion-Exclusion), partially ordered sets, and rational generating functions. There are a large number of exercises, almost all with solutions, which greatly augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

A propos du livre

Biographie de l'auteur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1996
• Langue: anglais
• ISBN 10: 0521663512
• ISBN 13: 9780521663519
• Reliure: Broché
• Nombre de pages: 340
• Coordonnées du fabricant: non disponible