This textbook offers an advent to the Catalan numbers and their amazing houses, in addition to their a variety of purposes in combinatorics. Intended to be available to scholars new to the topic, the e-book starts off with extra simple subject matters sooner than progressing to extra mathematically refined topics. Each bankruptcy specializes in a selected combinatorial item counted via those numbers, together with paths, timber, tilings of a staircase, null sums in Zn+1, period buildings, walls, variations, semiorders, and more. Exercises are incorporated on the finish of booklet, in addition to tricks and recommendations, to assist scholars receive a greater seize of the material. The textual content is perfect for undergraduate scholars learning combinatorics, yet also will attract a person with a mathematical heritage who has an curiosity in studying concerning the Catalan numbers.

“Roman does an admirable activity of offering an advent to Catalan numbers of a special nature from the former ones. He has made a good number of subject matters with the intention to exhibit the flavour of Catalan combinatorics. [Readers] will gather a great feeling for why such a lot of mathematicians are enthralled via the extraordinary ubiquity and magnificence of Catalan numbers.”

- From the foreword by way of Richard Stanley

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