Elementary theory of cubics and quartics
It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2017-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://www.journals.vu.lt/LMR/article/view/14970 |
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doaj-884dd66a9e9e499689799a47b1676949 |
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Article |
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doaj-884dd66a9e9e499689799a47b16769492020-11-25T01:19:51ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2017-12-0158A10.15388/LMR.A.2017.04Elementary theory of cubics and quarticsJuozas Juvencijus Mačys0Vilnius University It is proved that cubic and quartic equations in real numbers can be solved elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented. https://www.journals.vu.lt/LMR/article/view/14970cubic equationquartic equationrational solutionsfactorization |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Juozas Juvencijus Mačys |
| spellingShingle |
Juozas Juvencijus Mačys Elementary theory of cubics and quartics Lietuvos Matematikos Rinkinys cubic equation quartic equation rational solutions factorization |
| author_facet |
Juozas Juvencijus Mačys |
| author_sort |
Juozas Juvencijus Mačys |
| title |
Elementary theory of cubics and quartics |
| title_short |
Elementary theory of cubics and quartics |
| title_full |
Elementary theory of cubics and quartics |
| title_fullStr |
Elementary theory of cubics and quartics |
| title_full_unstemmed |
Elementary theory of cubics and quartics |
| title_sort |
elementary theory of cubics and quartics |
| publisher |
Vilnius University Press |
| series |
Lietuvos Matematikos Rinkinys |
| issn |
0132-2818 2335-898X |
| publishDate |
2017-12-01 |
| description |
It is proved that cubic and quartic equations in real numbers can be solved
elementarily, avoiding complex numbers and derivatives. Corresponding algorithms are presented.
|
| topic |
cubic equation quartic equation rational solutions factorization |
| url |
https://www.journals.vu.lt/LMR/article/view/14970 |
| work_keys_str_mv |
AT juozasjuvencijusmacys elementarytheoryofcubicsandquartics |
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1725136940654657536 |