TY  - BOOK
AU  - Roman,Steven
TI  - Introduction to catalan numbers
T2  - Compact textbooks in mathematics 
SN  - 9783319221434
U1  - 511.6 23
PY  - 2015///
CY  - Cham : 
PB  - Birkhauser, 
KW  - Combinatorial analysis
KW  - Catalan numbers (Mathematics)
N1  - Includes bibliographical references and index; 1. Introduction --
2. Dyck Words --
3. The Catalan Numbers --
4. Catalan Numbers and Paths --
5. Catalan Numbers and Trees --
6. Catalan Numbers and Geometric Widgits --
7. Catalan Numbers and Algebraic Widgits --
8. Catalan Numbers and Interval Structures --
9. Catalan Numbers and Partitions --
10. Catalan Numbers and Permutations --
11. Catalan Numbers and Semiorders --
Recap --
Exercises --
Solutions and Hints --
Appendix --
N2  - This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Zn+1, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers
ER  -