The Archimedean Property | Real Analysis | Lecture 5
Автор: Big Epsilon
Загружено: 2022-10-08
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Описание:
Proof of the Archimedean Property of the natural and real numbers. Proof that the set of natural numbers is not bounded from above. Proof of the existence of a maximal element in a bounded subset of the integers.
00:00 Introduction
00:31 If a set A \subset Z has a supremum, then sup A belongs to A. Proof.
08:45 The Archimedean Property with proof.
16:56 Example. The set of natural numbers is not bounded from above.
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