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Do We Even Need the Real Numbers?

Michael Penn via YouTube

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Explore the intriguing possibility of developing calculus solely using rational numbers in this thought-provoking 26-minute video lecture. Delve into the crucial role of the axiom of completeness in fundamental theorems from first semester calculus, challenging conventional mathematical assumptions. Gain insights into the foundations of calculus and the importance of real numbers in mathematical analysis.

Syllabus

Do we even need the real numbers??

Taught by

Michael Penn

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