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Mengenlehre

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Mengen - Einführung

Mengen werden beschrieben durch

  • Aufzählung (z.B. M1 = {0,1,2,3...}
  • Angabe eines Bildungsgesetzes (z.B. M_1 = \lbrace n \in \mathbb{N} \vert 0 \le n \le 9 \rbrace

Spezielle Mengen

\mathbb{N} Natürliche Zahlen
\mathbb{Z} Ganze Zahlen
\mathbb{Q} Rationale Zahlen
\mathbb{R} Reelle Zahlen
\mathbb{C} Komplexe Zahlen


Mengenrelationen

Relationen sind ...

Teilmenge

!verbessern M_1 \subseteq M_2\ :\  n \in M_1 \Rightarrow n \in M_2

Durchschnitt

Vereinigung

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