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Getal - Wikipedy

Getal

In getal is in abstrakte werjouwing fan in oantal. In getal is oars as in sifer: sifers binne de symbolen wêrmei getallen foarsteld wurde.


Der binne in protte ferskillende getallen. Sa binne dêr de Natuerlike Getallen. Dit binne de hiele positieve getallen. Of 0 der by heart is net dúdlik. Dizze samling hat it symbool: \mathbb{N}. Om misfettings foar te kommen, hawwe wy: \mathbb{N}_0=\{0,1,2,...\} en \mathbb{N^+}=\{1,2,3...\}


Fierder binne der de Hiele Getallen \mathbb{Z}=\{...,-2,-1,0,1,2,...\}, de Rationale getallen: \mathbb{Q}, dat binne alle breuken en de Reële getallen \mathbb{R}. Dat binne alle erige getallen.


Dêrnjonken binne der ek komplekse getallen \mathbb{C}. Dit binne getallen dy't yn gearstelling (lineare kombinaasje) binne fan it Imaginaire getal en in Reeël getal. It imaginaire getal is de oplossing fan de ferliking: x2 = − 1. Dit nimme wy i. In kompleks getal z is sa: z = a + bi mei a en b Reëel.


Ta beslút binne der de Algabraiske getallen \mathbb{C}. Dit binne de getallen dy't oplossing binne fan in mearterm my koëffisjinten yn \mathbb{Z} mei in einige graad. In mearterm is een funksje fan a foarm: p_n(x)=\Sigma^{n}_{j=0}a_jx^j. \mathbb{A}=\{z \in \mathbb{C} | p_n(z)=0\}

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