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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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Animo Repository
1993
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16106 |
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| Institution: | De La Salle University |
| Language: | English |
| 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. |
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