Catalan Numbers (Paperback)
 
作者: Richard P. Stanley 
分類: Discrete mathematics ,
Combinatorics & graph theory  
書城編號: 1096168


售價: $392.00

購買後立即進貨, 約需 18-25 天

 
 
出版社: Cambridge University Press
出版日期: 2015/03/26
尺寸: 229x152x19mm
重量: 329 grams
ISBN: 9781107427747

商品簡介
Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. 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. 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. The reader can try solving the exercises or simply browse through them. 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 book concludes with a history of Catalan numbers by Igor Pak and a glossary of key terms. Whether your interest in mathematics is recreation or research, you will find plenty of fascinating and stimulating facts here.
Richard P. Stanley 作者作品表

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