
Catalan Numbers
Elena Deza(Author)
World Scientific Publishing Co Pte Ltd
Published on 20. January 2025
Book
Hardback
488 pages
978-981-12-9322-1 (ISBN)
Description
Catalan numbers, named after the French-Belgian mathematician Eugene Charles Catalan (1814-1894), arise in a variety of combinatorial problems. They have many interesting properties, a rich history, and numerous arithmetic, number-theoretical, analytical, and combinatorial connections, as well as a variety of classical and modern applications. Considering the long list of open problems and questions related to the classical case, its relatives (Bell numbers, Motzkin numbers, Narayana numbers, etc.) and its generalizations, this book provides a broad perspective on the theory of this class of special numbers that will be of interest to professionals, students, and a general audience.The book begins with the history of the problem, before defining the considered numerical sets. The recurrence equation, closed formula, and generating function are then presented, followed by the simplest properties and number-theoretical properties. Later chapters discuss the relationships between Catalan numbers and other special numbers, as well as their applications and open problems.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 31 mm
Weight
848 gr
ISBN-13
978-981-12-9322-1 (9789811293221)
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Schweitzer Classification