Monomial ordering and a division algorithm for polynomials of two or more variables with software
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is about monomial orderings and a division algorithm for polynomials in two or more variables. Three types of monomial orderings are discussed in detail: lexicographic order, graded lexicographic order, and graded reverse lexicographic order. Then a method of dividing one polynomial by two or more polynomials is described. Examples illustrating the different monomial orderings and the division algorithm as well as proofs of theorems regarding these concepts are also given.
A software is also designed to be able to use the computer in dividing a given polynomial by another in the polynomial ring of two or more variables.
Abstract Format
html
Language
English
Format
Accession Number
TU07655
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
45 numb. leaves
Keywords
Algorithms; Computer software; Polynomials; Ordered sets; Variables (Mathematics)
Recommended Citation
Cuaycong, M. C., & Wong, C. (1997). Monomial ordering and a division algorithm for polynomials of two or more variables with software. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16340
