A01=Elena Deza
Age Group_Uncategorized
Age Group_Uncategorized
Author_Elena Deza
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Bell Numbers
Catalan Numbers
Category1=Non-Fiction
Category=PBH
Category=PBV
Combinatorics
COP=Singapore
Counting Problems
Delivery_Pre-order
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Factorial Numbers
Language_English
Lattice Paths
Mathematics
Motzkin Numbers
Number Theory
PA=Temporarily unavailable
Partitions
Price_€50 to €100
PS=Forthcoming
softlaunch
Special Numbers
Stirling Numbers
Product details
- ISBN 9789811293221
- Publication Date: 20 Jan 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
Delivery/Collection within 10-20 working days
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10-20 Working Days: On Backorder
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Catalan numbers, named after the French-Belgian mathematician Eugène 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.
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