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

Catalan Numbers

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, SchrÃ¶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.
Country USA
Brand Cambridge University Press
Manufacturer Cambridge University Press
Binding Paperback
ItemPartNumber Worked examples or Exercises; 150 Line d
ReleaseDate 2015-03-30
UnitCount 1
EANs 9781107427747

Country	USA
Brand	Cambridge University Press
Manufacturer	Cambridge University Press
Binding	Paperback
ItemPartNumber	Worked examples or Exercises; 150 Line d
ReleaseDate	2015-03-30
UnitCount	1
EANs	9781107427747

Catalan Numbers