Enumerative Combinatorics: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 49) - Hardcover

Stanley, Richard P.

Hardcover

ISBN 10: 0521553091 ISBN 13: 9780521553094

Publisher: Cambridge University Press, 1997

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.

About this title

Review

Review of the hardback: 'Stanley's book is very readable and a mine of information.' E. Keith Lloyd, Journal of the LMS

'This book is already a classic ... a most instructive text, which is sheer delight to read and study. I am looking forward to the publication of the long awaited Enumerative Combinatorics, Vol. II.' C. Krattenthaler

Book Description

Enumerative combinatorics deals with the basic problem of counting how many objects have a given property, a subject of great applicability. This book provides an introduction at a level suitable for graduate students. Extensive exercises with solutions show connections to other areas of mathematics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• Language: English
• ISBN 10: 0521553091
• ISBN 13: 9780521553094
• Binding: Hardcover
• Number of pages: 340