Catalan Numbers epub

Catalan Numbers by Richard P. Stanley

---------------------------------------------------------------
Author: Richard P. Stanley
Page Count: 222 pages
Published Date: 30 Mar 2015
Publisher: CAMBRIDGE UNIVERSITY PRESS
Publication Country: Cambridge, United Kingdom
Language: English
ISBN: 9781107427747
File size: 32 Mb
File Name: Catalan.Numbers.pdf
Download Link: Catalan Numbers
---------------------------------------------------------------

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, Schroder 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.

Read online Catalan Numbers Buy and read online Catalan Numbers Download and read Catalan Numbers for pc, mac, kindle, readers Download to iPad/iPhone/iOS, B&N nook Catalan Numbers ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent