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Catalan Numbers Richard P. Stanley (Massachusetts Institute of Technology)

Catalan Numbers By Richard P. Stanley (Massachusetts Institute of Technology)

Catalan Numbers by Richard P. Stanley (Massachusetts Institute of Technology)


$53.99
Condition - Very Good
Only 1 left

Summary

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.

Catalan Numbers Summary

Catalan Numbers by Richard P. Stanley (Massachusetts Institute of Technology)

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.

About Richard P. Stanley (Massachusetts Institute of Technology)

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.

Table of Contents

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

Additional information

GOR010335209
9781107427747
1107427746
Catalan Numbers by Richard P. Stanley (Massachusetts Institute of Technology)
Used - Very Good
Paperback
Cambridge University Press
2015-03-26
222
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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