On Catalan numbers

Date of Publication

1996

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper provides problems on generating Catalan numbers and some of its applications for readers to be familiar with the sequence. The articles entitled Catalan Strikes Again! How Likely Is A Function To Be Convex? written by Roger B. Eggleton and Richard K. Guy and Mathematical Games by Martin Gardner were the bases for this paper. The concepts used are basically related to such fields as Combinatorics, Probabilities and College Algebra. The problem Is the probability of the function (0, fo), (1, f1),... (n, fn) with n+1 points and within the interval [0,1] convex? was considered to generate the formula cn/(n!)2.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU07440

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

72 leaves

Keywords

Numbers, Theory of; Problem solving; Probabilities; Simplexes (mathematics); Sequences (Mathematics)

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