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Richard P. Stanley Catalan numbers ISBN 13: 9781107075092

Catalan numbers - Hardcover

 
9781107075092: Catalan numbers
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Catalan numbers are probably the most ubiquitous sequence of numbers in mathematics. This book gives some basic background and then presents more than 250 exercises and solutions on the properties and applications of these numbers, with difficulty levels ranging from recreational to research.

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Reseña del editor:
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.
Biografía del autor:
Richard P. Stanley is a Professor of Applied Mathematics at the Massachusetts Institute of Technology. He is universally recognized as a leading expert in the field of combinatorics and its applications to a variety of other mathematical disciplines. He won the AMS 2001 Leroy P. Steele Prize for Mathematical Exposition for his books Enumerative Combinatorics, Volumes 1 and 2, which contain material that form the basis for much of the present book.

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  • VerlagNew Publisher
  • Erscheinungsdatum2021
  • ISBN 10 1107075092
  • ISBN 13 9781107075092
  • EinbandTapa dura
  • Anzahl der Seiten224

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9781107427747: Catalan Numbers

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ISBN 10:  ISBN 13:  9781107427747
Verlag: Cambridge University Press, 2015
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - More than 250 exercises and solutions on properties and applications of Catalan numbers, at levels ranging from recreational to research. Artikel-Nr. 9781107075092

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