On the polynomial x3 + y3 + z3 - 3xyz

Date of Publication

1993

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 focuses on the polynomial f(x, y, z) = x3 + y3 + z3 - 3xyz and the properties, stated as theorems, that can be solutions of cubic polynomials and functions having three variables or less are not readily available. Or, when available, they are complicated like the method of Tartaglia and Cardan and the Diophantine equations.Most of the formulas stated as theorems in this thesis were taken from the article My Favorite Polynomial by Desmond MacHale. The researchers provide the necessary definitions, proofs and examples of each theorem which were not given since MacHale provided only the proofs of three theorems.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU06217

Shelf Location

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

Physical Description

87 leaves

Keywords

Polynomials; Approximation theory; Mathematics--Formulae

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