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An Introduction to Catalan Numbers

An Introduction to Catalan Numbers

Paperback

Series: Compact Textbooks in Mathematics

General Mathematics

ISBN10: 331937401X
ISBN13: 9783319374017
Publisher: Birkhauser
Published: Aug 23 2016
Pages: 121
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics