preliminaries
1. sets
2. graphs
3. posets
4. miscellaneous notation
chapter ⅰ mappings
1. classes of mappings
2. fundamental orders
3. permutations
4. patterns
notes
chapter ⅱ lattices
1. distributive lattices
2. modular and semimodular lattices
3. geometric lattices
4. the fundamental examples
notes
chapter ⅲ counting functions
1. the elementary counting coefficients
2. recursion and inversion
3. binomial sequences
4. order functions
notes
chapter ⅳ incidence functions
1. the incidence algebra
2. m6bius inversion
3. the m6bius function
4. valuations
notes
chapter ⅴ generating functions
1. ordered structures
2. unordered structures
3. g-patterns
4. g,h-patterns
notes
chapter ⅵ matroids: introduction
1. fundamental concepts
2. fundamental examples
3. construction of matroids
4. duality and connectivity
notes
chapter ⅶ matroids: further theory
1. linear matroids
2. binary matroids
3. graphic matroids
4. transversal matroids
notes
chapter ⅷ combinatorial order theory
1. maximum-minimum theorems
2. transversal theorems
3. sperner theorems
4. ramsey theorems
notes
bibliography
list of symbols
subject index
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