On the polynomial x3 + y3 + z3 - 3xyz
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...
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1993
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oai:animorepository.dlsu.edu.ph:etd_bachelors-166192022-01-28T03:02:18Z On the polynomial x3 + y3 + z3 - 3xyz Barrera, Eudora Magtoto, Josylynne 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. 1993-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16106 Bachelor's Theses English Animo Repository Polynomials Approximation theory Mathematics--Formulae |
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De La Salle University |
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De La Salle University Library |
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Asia |
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Philippines Philippines |
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De La Salle University Library |
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DLSU Institutional Repository |
| language |
English |
| topic |
Polynomials Approximation theory Mathematics--Formulae |
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Polynomials Approximation theory Mathematics--Formulae Barrera, Eudora Magtoto, Josylynne On the polynomial x3 + y3 + z3 - 3xyz |
| description |
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. |
| format |
text |
| author |
Barrera, Eudora Magtoto, Josylynne |
| author_facet |
Barrera, Eudora Magtoto, Josylynne |
| author_sort |
Barrera, Eudora |
| title |
On the polynomial x3 + y3 + z3 - 3xyz |
| title_short |
On the polynomial x3 + y3 + z3 - 3xyz |
| title_full |
On the polynomial x3 + y3 + z3 - 3xyz |
| title_fullStr |
On the polynomial x3 + y3 + z3 - 3xyz |
| title_full_unstemmed |
On the polynomial x3 + y3 + z3 - 3xyz |
| title_sort |
on the polynomial x3 + y3 + z3 - 3xyz |
| publisher |
Animo Repository |
| publishDate |
1993 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16106 |
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1772834960201220096 |