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Real Numbers and Cauchy Sequences of Rationals - Math Foundations 113

Insights into Mathematics via YouTube

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The course develops an Archimedean view of real numbers using nested intervals, then compares it with the Cauchy sequence approach. It also covers equality, arithmetic, and infinite decimals.

Syllabus

Introduction
Archimedean definition of real numbers
Two equal real numbers
Arithmetic with 'Archimedean real numbers'
Infinite decimals
Cauchy sequence approach

Taught by

Insights into Mathematics

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