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
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)
Recommended Citation
Buenaventura, A. J., & Martinez, A. P. (1996). On Catalan numbers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16295