Quantum redactiones paginae "Algebra" differant

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41 octeti amoti ,  10 years ago
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clean-up using AWB
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m (clean-up using AWB)
 
== Theoria numerorum ==
In antiquitate omnes quantitates originabant in geometria et mathematici aequationes solvebant methodis geometricis. Saeculo IV librum ''Arithmetica'' a [[Diophantus|Diophanto]] scriptum notissimum fuit tantum pro numeros considerando sine iustificatione geometrica quantum pro usu symboli permonodico ad quantitatem ignotam designandam.<ref> "According to a generally accepted hypothesis of Heath’s, his sign for this was probably originally a contraction of the first two letters, αρ, of the Greek word for number, αριθµoς." Norbert Schappacher (2005). [http://www-irma.u-strasbg.fr/~schappa/Dioph.pdf Diophantus of Alexandria : a Text and its History (Anglice)].</ref>
 
Diophantus, sicut alii mathematici suae aetatis, ad aequationes solvendas solos numeros naturales intuitur. Et notationes eius erant perprimitivae. Methodos subsequenter mathematici excoluerunt. Saeculo VIII liber celeber de algebra a Machometo ibn Musa al-Kwarizmi scriptus methodos de aequationes gradus secundi solvendo simplices ostendit, systema notationis algebraicum melius monstrans. Etiam ea aetate systema decimale Arabicum magnopere progressum mathematicae adiuvit.
 
Res algebrae abstractae sunt numerorum generalizationes classificatae modo axiomatico secundum earum operationes:
* [[Copia]] = rerum elementalium collectio quaedam sine aut cum operationibus inter elementos definitis.
* [[Grex]] = copia clausa sub operatione invertibili associativaque, symbolo "+".
* [[Grex abelianus]] vel commutativus = copia clausa sub operatione invertibili associativaque commuativaque, symbolo "+".
* Post [[1569]]: [[Franciscus Maurolicus|Francisci Maurolici]] ''Demonstratio Algebrae'': [http://www.dm.unipi.it/pages/maurolic/edizioni/arithmet/algebra/alg.htm textus]
* [[1661]] [[Franciscus a Schooten|Francisci à Schooten]] ''Tractatus de concinnandis Demonstrationibus Geometricis ex Calculo Algebraïco'' [http://visualiseur.bnf.fr/Image/CadresPage?O=NUMM-57483&I=359&Y=Image prima pagina]
* [[1710]] ''Miscellanea Berolinensia ad incrementum scientiarum I''
:p. 155 [[Godefridus Guilielmus Leibnitius|Leibnitii]] ''Monitum de Characteribus Algebraicis'' [http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=01-misc/1&seite:int=179 prima pagina]
:p. 160 [[Godefridus Guilielmus Leibnitius|Leibnitii]] ''Symbolismus memorabilis calculi Algebraici et Infinitesimalis, in comparatione potentiarum et differentiarum; et de Lege Homogeneorum Transcendentali'': [http://bibliothek.bbaw.de/bbaw/bibliothek-digital/digitalequellen/schriften/anzeige/index_html?band=01-misc/1&seite:int=184 prima pagina]
 
== Notae ==
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== Vide etiam ==
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