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Catalan Numbers by Elena Deza (Moscow State Pedagogical University, Russia) at Abbey's Bookshop,
Catalan Numbers
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Elena Deza (Moscow State Pedagogical University, Russia)

Catalan Numbers

Elena Deza (Moscow State Pedagogical University, Russia)

$343.95   $275.52

Hardback

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English
World Scientific Publishing Co Pte Ltd
20 January 2025
Number theory; Combinatorics & graph theory
Series: Selected Chapters Of Number Theory: Special Numbers
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.
By:  
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
Volume:   4
ISBN:   9789811293221
ISBN 10:   9811293228
Series:   Selected Chapters Of Number Theory: Special Numbers
Pages:   488
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Primary ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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