An Introduction to Catalan Numbers (Compact Textbooks in Mathematics)

Roman, Steven

ISBN 10: 331937401X / ISBN 13: 9783319374017

Published by Birkhäuser (edition Softcover reprint of the original 1st ed. 2015), 2016

About this Item

It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Softcover reprint of the original 1st ed. 2015.

Seller Inventory # 331937401X-11-1

Bibliographic Details

• Title: An Introduction to Catalan Numbers (Compact Textbooks in Mathematics)
• Publisher: Birkhäuser (edition Softcover reprint of the original 1st ed. 2015)
• Publication Date: 2016
• Language: English
• ISBN 10: 331937401X
• ISBN 13: 9783319374017
• Binding: Paperback
• Condition: Good

About this title

Synopsis

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 Z_n+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 the Author

Steven Roman is Professor Emeritus of Mathematics at California State University Fullerton.  He is the author of numerous other mathematics textbooks, including Field Theory (2006), Advanced Linear Algebra(2008), Fundamentals of Group Theory (2012), Introduction to the Mathematics of Finance (2012), and An Introduction to Catalan Numbers (2015).