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Catalan Numbers

Catalan Numbers - Hardcover

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Availability:In StockContributor:Elena DezaPublish date:01/09/25Pages:488
Language:EnglishPublisher:World Scientific Publishing CompanyISBN-13:9789811293221ISBN-10:9811293228UPC:9789811293221Book Category:MathematicsBook Subcategory:Number Theory, Combinatorics, Numerical AnalysisSize:9.00 x 6.00 x 1.06 inchesWeight:1.8012Product ID:SCYY7K6H04
Catalan numbers, named after the French-Belgian mathematician Eug?ne 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.
Language:EnglishPublisher:World Scientific Publishing CompanyISBN-13:9789811293221ISBN-10:9811293228UPC:9789811293221Book Category:MathematicsBook Subcategory:Number Theory, Combinatorics, Numerical AnalysisSize:9.00 x 6.00 x 1.06 inchesWeight:1.8012Product ID:SCYY7K6H04
Publisher: World Scientific Publishing Company

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Elena Deza

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