Real Analysis | The countability of the rational numbers.

Описание к видео Real Analysis | The countability of the rational numbers.

We present a proof of the countability of the rational numbers. Our approach is to represent the set of rational numbers as a countable union of disjoint finite sets.

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

Комментарии

Информация по комментариям в разработке