Catalan Numbers
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Book Overview Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of combinatorial pro...
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.
Book Details Format: Hardcover | Pages: 461 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811293228
FormatHardcover
Pages461
LanguageEnglish
ISBN9811293228
EAN9789811293221
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date2025-01-30
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.8 Pounds
Length9.0 Inches
Width6.0 Inches
Height1.06 Inches
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