Catalan Numbers Stanley Richard P.
Catalan Numbers Stanley Richard P. Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. After an introduction to the basic properties of Catalan numbers, the book…
Specifikacia Catalan Numbers Stanley Richard P.
Catalan Numbers Stanley Richard P.
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. After an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects which are counted using Catalan numbers, including of exercises with solutions. This book provides, for the first time, a comprehensive collection of their properties and applications in combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas.
68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schr der numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q, t)-Catalan numbers. The reader can try solving the exercises or simply browse through them. The book concludes with a history of Catalan numbers by
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