An Introduction to Catalan Numbers

Produkt bewerten

Steven Roman

Verlag:

Springer Verlag

Unsere-Artikel-Nr.: 64Z2KR3

EAN: 9783319374017

Erhältlich:

Nicht auf Lager

Zustellung: Di, 23.06.2026

Versand: Kostenlos

-13.2 %

CHF 55.90

CHF 48.50

Beschreibung

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 n1 , 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.

Spezifikationen

Sprache

Englisch

Autor

Steven Roman

Kollektion

Compact Textbooks in Mathematics

Zielgruppe

Upper undergraduate

Erscheinungsjahr

2016

Erscheinungsland

Schweiz

Format

Buch (Softcover)

Anzahl Seiten