Catalan Numbers (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
224
Utgivningsdatum
2015-03-30
Förlag
Cambridge University Press
Illustrationer
150 b/w illus. 282 exercises
Dimensioner
231 x 152 x 15 mm
Vikt
431 g
Antal komponenter
1
Komponenter
14:B&W 6 x 9 in or 229 x 152 mm Case Laminate on White w/Gloss Lam
ISBN
9781107075092

Catalan Numbers

av Richard P Stanley
Inbunden,  Engelska, 2015-03-30
831
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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, Schrder 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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Övrig information

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.

Innehållsförteckning

1. Basic properties; 2. Bijective exercises; 3. Bijective solutions; 4. Additional problems; 5. Solutions to additional problems.

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