Binomial coefficients: Identities and applications with computer program
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
The study of identities is itself a major concern of combinatorial mathematics. Many formulas that are encountered in applied mathematics like computer science involve the binomial coefficients so that a facility for manipulating them becomes a necessity. In this study, the researchers present a collection of identities involving the binomial coefficients as well as their applications. Their proofs and solutions are presented in detail using various techniques such as the algebraic proof, the combinatorial proof and the proof by mathematical induction. There is also a computer program written in Pascal Language by the researchers that outputs the binomial expression (a + b)n.
Abstract Format
html
Language
English
Format
Accession Number
TU07453
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
74 leaves
Keywords
Binomial coefficients; Computer program; Programming mathematics; Permutations; Combinations
Recommended Citation
Durana, M. C., & Torio, A. G. (1996). Binomial coefficients: Identities and applications with computer program. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16306
