Completeness of Real Numbers

[@victorguajardo7105]

I have read Dr. Lara Alcock's how to think about analysis, and it was helpful, but the way you read these proofs is even more helpful. Thank you for these amazing videos.

[@codework-vb6er]

great explaination

[@grigorovludmil]

High quality video and great explanation. Thank you!

[@andikac]

this is such a helping for learning advanced calculus. thank you so much!

[@MikaSeppala]

For historical reasons, mathematics still uses different names for the same concept. This is the reality. Math even uses greek letters, which students cannot pronounce. Sometimes the same greek character (phi, psi, for example) has several different appearances to confuse people further.

[@AlexEliotOfficial]

Greek student here, it confuses us too...

[@movies_reload]

@@AlexEliotOfficial 🤣🤣😂

[@sbmlinde]

Great Job!

[@macmos1]

That's the exact reason why I am here. My calculus is too wordy with one of the proofs for The convergence theorem for power series, and the proof is really confusing that I have to go back and understand the completeness property.

[@alvinlepik5265]

0 is not a natural number. Or if it is, you should mention this in your explanation separately. There have been wars over this discussion.

[@tanvirhyder7157]

yes it is

[@rushel4608]

It depends ..sometime it exists. But its good not to include it cause of def of natural numbers

[@shikharkantsrivastav9872]

Over all its helpful. Thanks :-)

[@HERŞEYKÖTÜ]

WASTE OF TİME