| 期刊全稱(chēng) | An Introduction to Catalan Numbers | | 影響因子2023 | Steven Roman | | 視頻video | http://file.papertrans.cn/156/155164/155164.mp4 | | 發(fā)行地址 | A short, compact yet comprehensive introduction to Catalan numbers and their applications.Designed to be as accessible for students as possible.Includes exercises with hints and solutions to help stud | | 學(xué)科分類(lèi) | Compact Textbooks in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .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 elega | | Pindex | Textbook 2015 |
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