內容簡介
《計數組合學導引》內容簡介:The book can be used in 'at least three ways One can teach a onesemester course from it, choosing the most general topics One can alson use the book for a two-semester course, teaching most of the text and exploring the supplementary material that is given in form of exercises If one has already taught a one-semester course using a general Combi-natorics textbook and wants to follow up with a second semester that focuses on enumeration, one may use the last six chapters of this book.The book is also useful for teaching an introductory course for graduate students who do not have solid background in Combinatorics
There are several topics here that are discussed in detail in an under-graduate textbook for a first time, such as acyclic and parking functions,unimodality, log-concavity, the real zeros property, and magic squares Therefore, we hope the book will provide a useful reference material for students interested in these topics
圖書目錄
前言
序
致謝
第1章 基本方法
第2章 基本方法的直接套用
第3章 母函式
第4章 排列的計數
第5章 圖的計數
第6章 極值組合學
第7章 對稱結構
第8章 組合學中的序列
第9章 幻方和幻立方的計數
附錄
參考文獻
索引
常用記號
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