Körper der reellen Zahlen

The axioms of the field of real numbers are explained. Furthermore, the order relation and metric are introduced, and finally, the completeness of the real numbers is discussed. 0:00 Introduction 1:05 Sets 4:26 Addition, Abelian Group 8:49 Multiplication 12:04 Subtraction, Division 13:14 Distributive Law, Field 16:27 Equivalence Transformations 19:04 Order Relation 22:34 Metric 27:49 Completeness