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Catalan Numbers

Language EnglishEnglish
Book Paperback
Book Catalan Numbers Richard P. Stanley
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
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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.

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About the book

Full name Catalan Numbers
Language English
Binding Book - Paperback
Date of issue 2015
Number of pages 222
EAN 9781107427747
ISBN 1107427746
Libristo code 09083513
Weight 330
Dimensions 152 x 230 x 16
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