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Catalan Numbers

Name: Catalan Numbers
Brand: Cambridge University Press
SKU: 09083513
Price: 18572 HUF
Availability: InStock
Author: Richard P. Stanley
ISBN: 9781107427747

Richard P. Stanley

Language

English

Book Paperback

Libristo code: 09083513

Publishers Cambridge University Press, March 2015

Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives... Full description

Libristo code: 09083513

128 b

18 572 Ft

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Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives for the first time a comprehensive collection of their properties and applications to combinatorics, algebra, analysis, number theory, probability theory, geometry, topology, and other areas. Following an introduction to the basic properties of Catalan numbers, the book presents 214 different kinds of objects counted by them in the form of exercises with solutions. The reader can try solving the exercises or simply browse through them. Some 68 additional exercises with prescribed difficulty levels present various properties of Catalan numbers and related numbers, such as Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, super Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The book ends 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.