Lecture

Introduction to Real Numbers

Description

This lecture introduces the axiomatic structure of the real numbers, emphasizing the properties required for R to be considered a field with a total order. The instructor explains the completeness property of R, the Archimedean property, and the equivalence between Archimedean and Cauchy sequences. The lecture also covers the existence of models for R, including the real line and decimal numbers.

In MOOCs (9)

Official source

https://mediaspace.epfl.ch/media/0_7461wjo8

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Ontological neighbourhood

Mathematics

Topology: General topology

Analysis: Topics in analysis

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