Catalan Numbers 1st Edition by Richard P. Stanley (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I love number theory, combinatorics, and generating functions, so this book is irresistible for me. Good stuff, well presented.Unlike some technical Kindle books I have seen, the equations are properly presented. My only quibble is that they are a little smaller than I would like, but they are still readable. Suggestion to Amazon: Allow equation size to be adjusted, just as font size can.I like it.

⭐mostly exercises – good

⭐learnt a lot

⭐Sou um aficionado por matemática desde muito cedo, e esse livro supriu as minhas expectativas. É um assunto que gosto bastante, e o tratamento que o livro dá a esse tema é bem completo e dinâmico. O autor apresenta além de exercícios adicionais, um conjunto de 214 objetos representativos de Catalan, e recomenda ao leitor que deseja se tornar expert no assunto que faça as bijeções entre esses objetos. Isso é um excelente exercício de criatividade e análise. Recomendo para todos que gostam de pensar criativamente sobre matemática, ou que possuem prazer em resolver problemas engenhosos nessa área. Sobre o livro em si, só tenho a agradecer. Veio em um ótimo estado. A impressão estava muito boa, a capa estava em estado adequado etc. A entrega foi excelente também, mais rápida do que a data prevista de chegada. Isso foi outro ponto muito positivo. Enfim, recomendo o livro e agradeço a Amazon pelo bom serviço prestado.

⭐Not found.

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