An Introduction to Catalan Numbers (Paperback, Softcover reprint of the original 1st ed. 2015)

This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. Each chapter focuses on a specific combinatorial object counted by these numbers, including paths, trees, tilings of a staircase, null sums in Zn+1, interval structures, partitions, permutations, semiorders, and more. Exercises are included at the end of book, along with hints and solutions, to help students obtain a better grasp of the material. The text is ideal for undergraduate students studying combinatorics, but will also appeal to anyone with a mathematical background who has an interest in learning about the Catalan numbers. "Roman does an admirable job of providing an introduction to Catalan numbers of a different nature from the previous ones. He has made an excellent choice of topics in order to convey the flavor of Catalan combinatorics. [Readers] will acquire a good feeling for why so many mathematicians are enthralled by the remarkable ubiquity and elegance of Catalan numbers." - From the foreword by Richard Stanley

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Compact Textbooks in Mathematics
Release date:	August 2016
First published:	2015
Authors:	Steven Roman
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	121
Edition:	Softcover reprint of the original 1st ed. 2015
ISBN-13:	978-3-319-37401-7
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling Promotions
LSN:	3-319-37401-X
Barcode:	9783319374017

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