Mathematik für Studierende der Physik 1
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Teil 1 Grundlagen und Sprache
3 Fundamentale mathematische Objekte
Die Mathematik ist die Untersuchung abstrakter Strukturen und Objekte. Die grundlegendsten davon sind:
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• Mathematische Aussagen: Behauptungen, die als wahr oder falsch bewiesen werden können.
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• Mengen: Sammlungen von unterscheidbaren Objekten, den „Elementen“.
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• Abbildungen (Funktionen): Regeln, die Elemente einer Menge Elementen einer anderen Menge zuordnen.