Real Analysis | The density of Q and other consequences of the Axiom of Completeness.
40.7 هزار بار بازدید -
4 سال پیش
-
We present three results that
We present three results that follow from the completeness of the real numbers.
1. The Nested Interval Theorem
2. The Archimedean Principal
3. The density of the rational numbers in the real numbers.
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Number Theory:
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1. The Nested Interval Theorem
2. The Archimedean Principal
3. The density of the rational numbers in the real numbers.
Please Subscribe: https://www.youtube.com/michaelpennma...
Personal Website: http://www.michael-penn.net
Randolph College Math: http://www.randolphcollege.edu/mathem...
Research Gate profile: https://www.researchgate.net/profile/...
Google Scholar profile: https://scholar.google.com/citations?...
Books I like:
Abstract Algebra:
Judson(online): http://abstract.ups.edu/
Judson(print): https://amzn.to/2Xg92wD
Dummit and Foote: https://amzn.to/2zYOrok
Gallian: https://amzn.to/2zg4YEo
Artin: https://amzn.to/2LQ8l7C
Differential Forms:
Bachman: https://amzn.to/2z9wljH
Number Theory:
Crisman(online): http://math.gordon.edu/ntic/
Strayer: https://amzn.to/3bXwLah
Andrews: https://amzn.to/2zWlOZ0
Calculus:
OpenStax(online): https://openstax.org/subjects/math
OpenStax Vol 1: https://amzn.to/2zlreN8
OpenStax Vol 2: https://amzn.to/2TtwoxH
OpenStax Vol 3: https://amzn.to/3bPJ3Bn
4 سال پیش
در تاریخ 1399/03/06 منتشر شده
است.
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