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An Introduction to Catalan Numbers (Compact Textbooks in Mathematics)

Steven Roman




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 | #619696 in Books |  2015-11-19 | Original language:English | PDF # 1 |  9.21 x.38 x6.14l,.0 | File type: PDF | 121 pages

|| ||“The pace of this book is of an introductory nature, the coverage of Catalan numbers is rigorous and will provide the reader with a firm grasp of many of the properties of these numbers. … a scholarly work and one that number theorists will find

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<...

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