内容

目次

Preliminaries: Sets: Graphs; Posets; Miscellaneous Notation. Mappings: Classes of Mappings; Fundamental Orders; Permutations; Patterns. Lattices: Distributive Lattices; Modular and Semimodular Lattices; Geometric Lattices; The Fundamental Examples. Countng Functions: The Elementary Counting Coefficients; Recursion and Inversion; Binomial Sequences; Order Functions. Incidence Functions: The Incidence Algebra; Möbius Inversion; The Möbius Function; Valuations. Generating Functions:Ordered Structures; Unordered Structures; G-patterns; G, H-patterns. Matroids- Introduction: Fundamental Concepts; Fundamental Examples; Construction of Matroids; Duality and Connectivity. Matroids - Further Theory: Linear Matroids; Bineary matroids; Graphic Matroids; Transversal Matroids. Combinatorial Order Theory: Maximum-Minimum Theorems; Transversal Theorems; Sperner Theorems; Ramsey Theorems. Bibliography. List of Symbols. Subject Index