Title

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 Department

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

Print

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)

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