Catalan Numbers

More than 250 exercises and solutions on properties and applications of Catalan numbers, at levels ranging from recreational to research.

List of contents

1. Basic properties; 2. Bijective exercises; 3. Bijective solutions; 4. Additional problems; 5. Solutions to additional problems.

About the author

Richard P. Stanley is a Professor of Applied Mathematics at the Massachusetts Institute of Technology. He is universally recognized as a leading expert in the field of combinatorics and its applications to a variety of other mathematical disciplines. He won the AMS 2001 Leroy P. Steele Prize for Mathematical Exposition for his books Enumerative Combinatorics, Volumes 1 and 2, which contain material that form the basis for much of the present book.

Summary

Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives some basic background and then presents more than 250 exercises and solutions on the properties and applications of these numbers, with difficulty levels ranging from recreational to research.

Product details

• Authors: Richard P. Stanley
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.03.2015
• EAN: 9781107075092
• ISBN: 978-1-107-07509-2
• No. of pages: 224
• Subjects: Education and learning > Adult education/adult education classes; Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; Algebra, MATHEMATICS / Discrete Mathematics, Mathematics, Discrete Mathematics, Combinatorics and graph theory