Richard P. Stanley's Catalan Numbers PDF

Discrete Mathematics

By Richard P. Stanley

Catalan numbers are the most ubiquitous series of numbers in arithmetic. This booklet offers for the 1st time a entire choice of their houses and functions to combinatorics, algebra, research, quantity concept, likelihood thought, geometry, topology, and different components. Following an creation to the elemental homes of Catalan numbers, the e-book provides 214 other kinds of items counted through them within the kind of routines with strategies. The reader can attempt fixing the workouts or just flick thru them. a few sixty eight extra workouts with prescribed trouble degrees current a variety of houses of Catalan numbers and similar numbers, similar to Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, large Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The ebook ends with a historical past of Catalan numbers through Igor Pak and a thesaurus of keyword phrases. no matter if your curiosity in arithmetic is sport or study, you'll find lots of attention-grabbing and stimulating evidence here.

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Catalan Numbers by Richard P. Stanley


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