Download e-book for kindle: Catalan Numbers by Richard P. Stanley

Download e-book for kindle: Catalan Numbers by Richard P. Stanley

By Richard P. Stanley

ISBN-10: 1107075092

ISBN-13: 9781107075092

ISBN-10: 1107427746

ISBN-13: 9781107427747

Catalan numbers are the most ubiquitous series of numbers in arithmetic. This booklet offers for the 1st time a complete choice of their houses and purposes to combinatorics, algebra, research, quantity conception, likelihood thought, geometry, topology, and different parts. Following an advent to the elemental homes of Catalan numbers, the publication provides 214 other forms of gadgets counted via them within the kind of routines with recommendations. The reader can test fixing the workouts or just flick thru them. a few sixty eight extra workouts with prescribed hassle degrees current a number of homes of Catalan numbers and similar numbers, corresponding to Fuss-Catalan numbers, Motzkin numbers, Schröder numbers, Narayana numbers, large Catalan numbers, q-Catalan numbers and (q,t)-Catalan numbers. The booklet ends with a heritage of Catalan numbers by means of Igor Pak and a word list of key phrases. no matter if your curiosity in arithmetic is game or study, you can find lots of attention-grabbing and stimulating evidence here.

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Catalan Numbers by Richard P. Stanley

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