Lecture

Real Numbers: Definitions and Bounds

In course

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Description

This lecture covers the definitions and properties of maximum, minimum, supremum, and infimum in the context of real numbers. It explains the notation of number sets, intervals, and bounded intervals, emphasizing the importance of upper and lower bounds. The lecture also discusses the uniqueness of maximum and minimum values, the existence of infimum, and the Archimedean property of real numbers.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_srqmrvmq

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Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Topology: General topology

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