大葉大學圖書館 |

An introduction to catalan numbers[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511.6
書名/作者:	An introduction to catalan numbers/ by Steven Roman.
作者:	Roman, Steven.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xii, 121 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Catalan numbers (Mathematics)
標題:	Mathematics.
標題:	Computer science - Mathematics.
標題:	Sequences (Mathematics)
標題:	Combinatorial analysis.
標題:	Graph theory.
標題:	Combinatorics.
標題:	Graph Theory.
標題:	Sequences, Series, Summability.
標題:	Mathematical Applications in Computer Science.
標題:	Discrete Mathematics in Computer Science.
ISBN:	9783319221441
ISBN:	9783319221434
內容註:	Introduction -- Dyck Words -- The Catalan Numbers -- Catalan Numbers and Paths -- Catalan Numbers and Trees -- Catalan Numbers and Geometric Widgits -- Catalan Numbers and Algebraic Widgits -- Catalan Numbers and Interval Structures -- Catalan Numbers and Partitions -- Catalan Numbers and Permutations -- Catalan Numbers and Semiorders -- Exercises -- Solutions and Hints -- Appendix A: A Brief Introduction to Partially Ordered Sets -- Appendix B: A Brief Introduction to Graphs and Trees -- Index.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-22144-1

An introduction to catalan numbers[electronic resource] /
Roman, Steven.

An introduction to catalan numbers[electronic resource] /by Steven Roman. - Cham :Springer International Publishing :2015. - xii, 121 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Introduction -- Dyck Words -- The Catalan Numbers -- Catalan Numbers and Paths -- Catalan Numbers and Trees -- Catalan Numbers and Geometric Widgits -- Catalan Numbers and Algebraic Widgits -- Catalan Numbers and Interval Structures -- Catalan Numbers and Partitions -- Catalan Numbers and Permutations -- Catalan Numbers and Semiorders -- Exercises -- Solutions and Hints -- Appendix A: A Brief Introduction to Partially Ordered Sets -- Appendix B: A Brief Introduction to Graphs and Trees -- Index.

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.

ISBN: 9783319221441

Standard No.: 10.1007/978-3-319-22144-1doiSubjects--Topical Terms:

624024
Catalan numbers (Mathematics)

LC Class. No.: QA164

Dewey Class. No.: 511.6

An introduction to catalan numbers[electronic resource] /
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