Enumerative Combinatorics, Volume 1 pdf epub mobi txt 電子書下載2025

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出版者:Cambridge University Press

作者:Richard P. Stanley

出品人:

頁數:340

译者:

出版時間:2000-05

價格:USD 39.99

裝幀:Paperback

isbn號碼:9780521663519

叢書系列:

圖書標籤:

數學
組閤數學
Combinatorics
計算機科學
combinatorics
Stanley
組閤學
組閤

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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.