組合學：導論（影印版）

　　組合學是一門關于有限集的計數(shù)、存在性、構造和優(yōu)化問題的數(shù)學學科。本書著重于前三類問題，內容包括：基本計數(shù)和存在性原理、分布、生成函數(shù)、遞推關系、Pólya理論、組合設計、糾錯碼、偏序集，以及圖論的一些應用（包括樹的計數(shù)、色多項式和Ramsey理論入門）。閱讀本書只需掌握單變量微積分，并熟悉集合論和基本的證明技巧。本書著重論述了組合學的特點：雙射和組合證明、遞歸分析和計數(shù)問題分類。本書適用范圍極廣，可用于組合數(shù)學的本科課程、離散數(shù)學的第二學期課程、應用數(shù)學的研究生入門課程，同時適合自學。本書之所以稱為導引，在于分布在全書八章中的大約350個問題。這些問題可用來檢查學習成果，也讓讀者為每節(jié)后的練習（共有470多個）做好準備。大部分章節(jié)以游記結尾，通過趣聞軼事、未解決問題、進一步閱讀的建議以及與所聞所見有關的數(shù)學家傳記的形式，為內容增色不少。

　　David R.Mazur，is Associate Professor of Mathematics at Western New England College in Springfield， Massachusetts. He was born on October 23， 1971 in Washington， D.C. He received his undergraduate degree in mathematics from the University of Delaware in 1993， and also won the Department of Mathematical Sciences' William D. Clark prize for unusual ability in the major that year. He then received two fellowships for doctoral study in the Department of Mathematical Sciences （now the Department of Applied Mathematics and Statistics） at The Johns Hopkins University. From there he received his Master's in 1996 and his Ph.D. in 1999 under the direction of Leslie A. Hall， focusing on operations research， integer programming， and polyhedral combinatorics. His dissertation， Integer Programming Approaches to a Multi-Facility Location Problem， won first prize in the 1999 joint United Parcel Service/INFORMS Section on Location Analysis Dissertation Award Competition. The competition occurs once every two years to recognize outstanding dissertations in the field of location analysis.