An Introduction to Catalan Numbers PDF ePub eBook

Books Info:

An Introduction to Catalan Numbers free pdf 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"

About Steven Roman

Steven Roman is Professor Emeritus of Mathematics at California State University Fullerton.

Details Book

Author : Steven Roman
Publisher : Birkhauser
Data Published : 15 November 2015
ISBN : 3319221434
EAN : 9783319221434
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 84 pages
Age + : 15 years
Language : English
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