Table of Contents

1: Bionomial Coefficients
2: The Central Binomial Coefficient
3: The Central Binomial Coefficient Revisited
4: Binomial Coefficients Revisited
5: Catalan Numbers
6: The Ubiquity of Catalan Numbers I
7: The Ubiquity of Catalan Numbers II
8: Trees and Catalan Numbers
9: Lattice Paths and Catalan Numbers
10: Partitions and Catalan Numbers
11: Algebra, Sports, and Catalan Numbers
12: Catalan Numbers and Pascal's Triangle
13: Divisibilty Properties
14: A Catalan Triangle
15: A Family of Binary Words
16: Tribinomial Coefficients
17: Generalized Catalan Numbers

About the Author

Thomas Koshy, Ph.D., is Professor of Mathematics at Framingham State College, Framingham, Massachusetts. His Fibonacci and Lucas Numbers with Applications, published by Wiley, won the Association of American Publishers' new book award in 2001.

Reviews

"...Thomas Koshy's new book, Catalan Numbers With Applications, is a fascinating tour through through many of those exercises, but also of the myriad ways in which the Catalan numbers connect to other sequences and phenomena."--MAA Reviews
"Thomas Koshy's book on Catalan numbers contains an impressive number of proofs of theorems, of results, and of references and it should thus provide a valuable source of information for students, professionals and amateurs alike. Well written, well documented and user-friendly; qualities that are a trademark of Kosky's writing style. I recommend the books to all those with an interest in numbers!"--Napolean Gauthier, Royal Military College of Canada, for
The Fibonacci Quarterly
Listed in Mathematical Reviews