Catalan Numbers (Selected Chapters of Number Theory: Special Numbers, Band 4) - Hardcover

Deza, Elena

Hardcover

ISBN 10: 9811293228 ISBN 13: 9789811293221

Verlag: WSPC, 2024

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: WSPC
• Erscheinungsdatum: 2024
• Sprache: Englisch
• ISBN 10: 9811293228
• ISBN 13: 9789811293221
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 486
• Kontakt zum Hersteller: preigu GmbH & Co. KG; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; Niedersachsen; 49078; Deutschland