Introduction to catalan numbers [electronic resource] / Steven Roman.

Introduction
Dyck Words
The Catalan Numbers
Catalan Numbers and Paths
Catalan Numbers and Trees
Catalan Numbers and Geometric Widgits
Catalan Numbers and Algebraic Widgits
Catalan Numbers and Interval Structures
Catalan Numbers and Partitions
Catalan Numbers and Permutations
Catalan Numbers and Semiorders
Exercises
Solutions and Hints
Appendix A: A Brief Introduction to Partially Ordered Sets
Appendix B: A Brief Introduction to Graphs and Trees
Index.